HyRAM V1.0 User Guide

Sandia National Laboratories · 52 pages

HyRAM V1.0 User Guide from Sandia National Laboratories explains the software's QRA Mode and Physics Mode, covering system description input, scenario and probability data, consequence models, risk metrics output, gas plume dispersion, overpressure, and jet flame analysis.

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Frequently Asked Questions

What is HyRAM?

HyRAM is a software tool, and the guide includes a section titled 'What is HyRAM?' as part of its introduction, along with the guide's purpose and requirements.

What are the two main modes in HyRAM?

HyRAM has a QRA Mode (for inputting system descriptions, scenarios, data/probabilities, and consequence models, and viewing risk metrics and scenario stats output) and a Physics Mode (covering gas plume dispersion, overpressure, and jet flame analysis).

What basic functions does HyRAM support?

HyRAM supports saving/loading workspaces, changing units via an Engineering Toolkit, resetting all defaults and inputs to zero, using a QRA Master Input Editor, sorting, and copying tables to paste into other programs.

What physical consequence models are available in Physics Mode?

Physics Mode includes Gas Plume Dispersion, Overpressure, and Jet Flame models, with outputs such as flame temperature/trajectory and radiative heat flux.

What kind of output does QRA Mode provide?

QRA Mode output includes Scenario Stats (scenario ranking, cut sets, importance measures) and Risk Metrics.

What inputs are needed for the System Description in QRA Mode?

System Description input includes Components, System Parameters, and Facility Parameters, such as piping, vehicles, occupants, enclosure, ceiling vent, and floor vent inputs.

Manual text content

1 HyRAM V1.0 User Guide Katrina M. Groth 1 , Hannah R. Zumwalt, Andrew J. Clark Sandia National Laboratories March, 2016 Contents 1. INTRODUCTION ................................................................................................................................ 7 1.1. What is HyRAM? ......................................................................................................................... 7 1.2. Purpose of this Guide .................................................................................................................... 7 1.3. Requirements ................................................................................................................................ 7 1.4. HyRAM License Terms ............................................................................................................... 8 2. BASIC FUNCTIONS ........................................................................................................................... 9 2.1. Save/Load Workspace................................................................................................................... 9 2.2. Changing Units ............................................................................................................................. 9 2.2.1. Engineering Toolkit .............................................................................................................. 9 2.2.2. Reset All Defaults and Inputs to Zero ................................................................................. 12 2.2.3. QRA Master Input Editor .................................................................................................... 12 2.3. Sorting ......................................................................................................................................... 13 2.4. Copying Tables to Paste into Other Programs ............................................................................ 13 3. GENERIC INDOOR FUELING SYSTEM EXAMPLE .................................................................... 14 4. QRA MODE – INPUT ....................................................................................................................... 15 4.1. System Description ..................................................................................................................... 15 4.1.1. Components ........................................................................................................................ 15 4.1.2. System Parameters .............................................................................................................. 16 4.1.3. Facility Parameters .............................................................................................................. 17 4.2. Scenarios ..................................................................................................................................... 21 4.2.1. Event Sequence Diagrams .................................................................................................. 21 4.2.2. Fault Trees .......................................................................................................................... 22 4.3. Data/Probabilities ........................................................................................................................ 22 4.3.1. Component Leaks ............................................................................................................... 22 4.3.2. Component Failures ............................................................................................................ 23 4.3.3. Ignition Probabilities ........................................................................................................... 24 4.4. Consequence Models .................................................................................................................. 25 4.4.1. Physical Consequence Models ............................................................................................ 25 4.4.2. Harm Models ...................................................................................................................... 26 5. QRA MODE – OUTPUT ................................................................................................................... 27 5.1. Scenario Stats .............................................................................................................................. 27 5.1.1. Scenario Ranking ................................................................................................................ 27 5.1.2. Cut Sets ............................................................................................................................... 28 5.1.3. Importance Measure............................................................................................................ 28 5.2. Risk Metrics ................................................................................................................................ 28 1 Corresponding author: kgroth@sandia.gov SAND2016-3385R 2 6. PHYSICS MODE ............................................................................................................................... 29 6.1. Gas Plume Dispersion ................................................................................................................. 29 6.1.1. Plot Properties ..................................................................................................................... 29 6.1.2. Standard .............................................................................................................................. 29 6.1.3. Advanced ............................................................................................................................ 30 6.1.4. Gas Plume Dispersion Output ............................................................................................. 31 6.2. Overpressure ............................................................................................................................... 32 6.2.1. Indoor Release Parameters .................................................................................................. 32 6.2.2. Output Options .................................................................................................................... 33 6.2.3. Overpressure Output ........................................................................................................... 33 6.3. Jet Flame ..................................................................................................................................... 37 6.3.1. Flame Temperature/Trajectory............................................................................................ 37 6.3.2. Radiative Heat Flux ............................................................................................................ 38 7. SUMMARY OF HyRAM INPUT AND OUTPUT ............................................................................ 41 7.1. QRA Mode Input ........................................................................................................................ 41 7.1.1. System Description Input .................................................................................................... 41 7.1.2. Scenarios ............................................................................................................................. 41 7.1.3. Data/Probabilities ................................................................................................................ 41 7.1.4. Consequence Models .......................................................................................................... 43 7.2. QRA Mode Output ...................................................................................................................... 43 7.2.1. Risk Metrics ........................................................................................................................ 43 7.2.2. Scenario Stats ...................................................................................................................... 44 7.3. Physics Input ............................................................................................................................... 45 7.3.1. Gas Plume Dispersion Input ............................................................................................... 45 7.3.2. Overpressure Input .............................................................................................................. 45 7.3.3. Jet Flame Input .................................................................................................................... 46 7.4. Physics Mode Outputs ................................................................................................................ 47 7.4.1. Gas Plume Dispersion Output Window .............................................................................. 47 7.4.2. Overpressure Output Windows ........................................................................................... 47 7.4.3. Jet Flame Output Windows ................................................................................................. 50 8. REFERENCES ................................................................................................................................... 52 3 Figures Figure 1 - Save/Load Workspace .................................................................................................................. 9 Figure 2 - Changing Units........................................................................................................................... 10 Figure 3 - Example calculation for Temperature, Pressure and Density tab............................................... 10 Figure 4 - Example calculation for hydrogen mass in Tank Mass tab. ....................................................... 11 Figure 5 - Example Input for Mass Flow Rate tab. ..................................................................................... 11 Figure 6 - Mass Flow Rate Output tab. ....................................................................................................... 12 Figure 7 - Sorting ........................................................................................................................................ 13 Figure 8 - P&ID for the generic dispenser used in this example [3]........................................................... 14 Figure 9 - System Description window....................................................................................................... 15 Figure 10 - Components input window....................................................................................................... 16 Figure 11 - Piping input .............................................................................................................................. 16 Figure 12 - Vehicles input........................................................................................................................... 17 Figure 13 - Facility input ............................................................................................................................ 18 Figure 14 - Example input for Occupants tab ............................................................................................. 19 Figure 15 - Enclosure input......................................................................................................................... 19 Figure 16 - Ceiling Vent input .................................................................................................................... 20 Figure 17 - Floor Vent input ....................................................................................................................... 20 Figure 18 - Event Sequence Diagram showing the scenarios coded in HyRAM. ...................................... 21 Figure 19 - Component Leak frequencies input for Compressors .............................................................. 22 Figure 20 - Component Failures input window concept ............................................................................. 23 Figure 21 - Ignition Probabilities input ....................................................................................................... 24 Figure 22 - Physical Consequence Models input ........................................................................................ 25 Figure 23 - Physical Consequence CFD model input ................................................................................. 26 Figure 24 - Harm model selection window ................................................................................................. 26 Figure 25 - Scenario Ranking Output ......................................................................................................... 27 Figure 26 - Scenario results filtered to show only jet fire end states .......................................................... 28 Figure 27 - Risk Metrics Output ................................................................................................................. 28 Figure 28 - Plot Properties input ................................................................................................................. 29 Figure 29 - Standard input .......................................................................................................................... 29 Figure 30 - Advanced input ........................................................................................................................ 30 Figure 31 - Gas Plume Dispersion output ................................................................................................... 31 Figure 32 - Indoor Release Parameters input .............................................................................................. 32 Figure 33 - Output Options input ................................................................................................................ 33 Figure 34 - Overpressure Output Pressure Plot .......................................................................................... 34 Figure 35 - Overpressure Output Layer Plot ............................................................................................... 35 Figure 36 - Overpressure Output Data. ....................................................................................................... 36 Figure 37 - Flame Temperature / Trajectory input...................................................................................... 37 Figure 38 - Flame Temperature / Trajectory output.................................................................................... 38 Figure 39 - Radiative Heat Flux input ........................................................................................................ 39 Figure 40 - Radiative Heat Flux output ...................................................................................................... 39 Figure 41 - Gas Plume Dispersion output ................................................................................................... 47 Figure 42 - Overpressure Output Pressure plot ........................................................................................... 48 Figure 43 - Overpressure Output Layer plot ............................................................................................... 48 Figure 44 - Summary Flame Temperature / Trajectory output ................................................................... 50 Figure 45 - Summary of Radiative Heat Flux output.................................................................................. 50 4 Tables Table 1 - Summary of System Description Input........................................................................................ 41 Table 2 - Summary of component leak frequency data. ............................................................................. 42 Table 3 - Summary of ignition probabilities ............................................................................................... 43 Table 4 - Summary Consequence Models Input ......................................................................................... 43 Table 5 - Summary Risk Metric.................................................................................................................. 44 Table 6 - Summary Scenario Stats .............................................................................................................. 44 Table 7 - Summary of Gas Plume Dispersion input ................................................................................... 45 Table 8 - Summary of Overpressure input .................................................................................................. 45 Table 9 - Summary of Jet Flame inputs ...................................................................................................... 46 Table 10 - Overpressure Output data .......................................................................................................... 49 Table 11 - Summary of Radiative Heat Flux data....................................................................................... 51 5 Abbreviations AIR Average Individual Risk CFD Computational Fluid Dynamics ESD Event Sequence Diagram FAR Fatal Accident Rate FCTO Fuel Cell Technologies Office FT Fault Tree HyRAM Hydrogen Risk Assessment Models NFPA National Fire Protection Association P&ID Piping and Instrumentation Diagram PLL Potential Loss of Life QRA Quantitative Risk Assessment 6 Sandia National Laboratories is a multi-program laboratory managed and operated by Sandia Corporation, a wholly owned subsidiary of Lockheed Martin Corporation, for the U.S. Department of Energy’s National Nuclear Security Administration under contract DE-AC04-94AL85000. 7 1. INTRODUCTION 1.1. What is HyRAM? Hydrogen Risk Assessment Models (HyRAM) is a prototype software toolkit that integrates data and methods relevant to assessing the safety of hydrogen fueling and storage infrastructure. The HyRAM toolkit integrates deterministic and probabilistic models for quantifying accident scenarios, predicting physical effects, and characterizing the impact of hydrogen hazards, including thermal effects from jet fires and thermal pressure effects from deflagration. HyRAM version 1.0 incorporates generic probabilities for equipment failures for nine types of components, and probabilistic models for the impact of heat flux on humans and structures, with computationally and experimentally validated models of various aspects of gaseous hydrogen release and flame physics. HyRAM is a software prototype being developed by Sandia National Laboratories for the U.S. Department of Energy’s (DOE) Office of Energy Efficiency and Renewable Energy’s Fuel Cell Technologies Office (FCTO). 1.2. Purpose of this Guide This document provides an example of how to use HyRAM to conduct analysis of a fueling facility. This document will guide users through the software and how to enter and edit certain inputs that are specific to the user-defined facility. Description of the methodology and models contained in HyRAM is provided in [1]. This User’s Guide is intended to capture the main features of HyRAM version 1.0 (any HyRAM version numbered as 1.0.X.XXX). This user guide was created with HyRAM 1.0.1.798. Due to ongoing software development activities, newer versions of HyRAM may have differences from this guide. 1.3. Requirements HyRAM is a research software tool under active development at Sandia National Laboratories for the U. S. Department of Energy (DOE), Office of Energy Efficiency and Renewable Energy’s Fuel Cell Technologies Office. HyRAM 1.0 is available as a free executable download from hyram.sandia.gov. After download users must also request a free product registration key via email. HyRAM was designed to be installed on any 32-or-64-bit Intel-compatible computer with more than 4GB/RAM and 4GB free persistent storage (hard drive space), running Microsoft Windows 98 or later. The intended users are experienced safety professionals and researchers who are familiar with the modeling assumptions, limitations, and interpretation of QRA and consequence models. 8 1.4. HyRAM License Terms Copyright 2015 Sandia Corporation. Under the terms of Contract DE-AC04-94AL85000, there is a non-exclusive license for use of this work by or on behalf of the U.S. Government. Export of this data may require a license from the United States Government. For five (5) years from 2/16/2016, the United States Government is granted for itself and others acting on its behalf a paid-up, nonexclusive, irrevocable worldwide license in this data to reproduce, prepare derivative works, and perform publicly and display publicly, by or on behalf of the Government. There is provision for the possible extension of the term of this license. Subsequent to that period or any extension granted, the United States Government is granted for itself and others acting on its behalf a paid-up, nonexclusive, irrevocable worldwide license in this data to reproduce, prepare derivative works, distribute copies to the public, perform publicly and display publicly, and to permit others to do so. The specific term of the license can be identified by inquiry made to Sandia Corporation or DOE. NEITHER THE UNITED STATES GOVERNMENT, NOR THE UNITED STATES DEPARTMENT OF ENERGY, NOR SANDIA CORPORATION, NOR ANY OF THEIR EMPLOYEES, MAKES ANY WARRANTY, EXPRESS OR IMPLIED, OR ASSUMES ANY LEGAL RESPONSIBILITY FOR THE ACCURACY, COMPLETENESS, OR USEFULNESS OF ANY INFORMATION, APPARATUS, PRODUCT, OR PROCESS DISCLOSED, OR REPRESENTS THAT ITS USE WOULD NOT INFRINGE PRIVATELY OWNED RIGHTS. Any licensee of “HyRAM (Hydrogen Risk Assessment Models) v. 1.0” has the obligation and responsibility to abide by the applicable export control laws, regulations, and general prohibitions relating to the export of technical data. Failure to obtain an export control license or other authority from the Government may result in criminal liability under U.S. laws. 9 2. BASIC FUNCTIONS 2.1. Save/Load Workspace The Save/Load Workspace can be found in the File menu at the top left corner of the program window. The Save Workspace button functions as a “Save As” button. To save a workspace and the resulting data, click the Save Workspace option. To load a workspace that has been previously saved, click the Load Workspace option. 2.2. Changing Units HyRAM contains a built-in unit conversion function. For variables with a unit, the unit must be selected before inputting a value. If a value is entered before a unit, when a different unit is selected, the software will convert the entered value into the new value corresponding to the selected unit. To change units for a variable, find the drop down bar in the unit column, click on the arrow next to the bar; this will reveal a list of possible units. Click on a new unit to select it. 2.2.1. Engineering Toolkit The user can also utilize the Engineering Toolkit under Tools to determine some parameters of a given system. Other tabs are available under Tools as will be discussed in the following sections. Figure 1 - Save/Load Workspace 10 The Engineering Toolkit has three tabs to determine various quantities: Temperature, Pressure and Density; Tank Mass; and Mass Flow Rate. In the Temperature, Pressure and Density tab the user enters two known quantities to determine an unknown quantity. When the user selects which parameter to Calculate, the parameter will be “grayed out” and no value can be entered in the corresponding box. In the following example, the density is chosen under Calculate…. The temperature is 300 K and the pressure is 250 bar. With these two values entered, the Calculate Density button can be clicked to determine the density; in this case, the calculated density is 0.0175 g/cm 3 . Figure 3 - Example calculation for Temperature, Pressure and Density tab. Figure 2 - Changing Units 11 The Tank Mass tab determines the mass of hydrogen inside a given tank. The user supplies inputs for the Temperature, Pressure, and Volume. In the example below, the temperature is 300 K, the pressure is 250 bar and the volume is 50 L. Once all the inputs are provided, the user can click Calculate Mass; in this example the calculated mass is 0.874 kg. Figure 4 - Example calculation for hydrogen mass in Tank Mass tab. The Mass Flow Rate tab is used to determine mass flow rates for either a steady or blowdown type of release. In addition to inputting the Temperature, Pressure and Volume as shown in Figure 4 , the user also inputs the Orifice Diameter (i.e., the release diameter). The user must also select the Release Type before clicking the Calculate Mass Flow Rate button. In the following example, the orifice diameter is 1 mm and the release type is a blowdown, in addition to the values provided in Figure 4 . Figure 5 - Example Input for Mass Flow Rate tab. 12 When the user clicks Calculate Mass Flow Rate button, the screen will change to the output tab. The Output tab is shown below, with the Time to Empty (seconds) equal to 480.8 seconds. The user may also select to save an image of the plot by clicking Save Plot. Figure 6 - Mass Flow Rate Output tab. 2.2.2. Reset All Defaults and Inputs to Zero Warning: This feature is not yet active ( in HyRAM version 1.0. 1.798 ). 2.2.3. QRA Master Input Editor Quantitative Risk Assessment (QRA) Master Input Editor tab provides the user with a quick view of the System Description inputs. The user can edit any of the values in this window and the changes will be reflected in the System Description tabs. Refer to Section 4.1 for further information on these tabs and variables. Note: Because the System Description tab is a “loaded” window, the user will have to move away from this tab for the changes to be visible. For example, after changing inputs in the QRA Master Input Editor, close the window, click on the Scenarios tab, and then go back to System Description tab to see the changes made in the QRA Master Input Editor. 13 2.3. Sorting All inputs are pre-organized. To change the rank or sorting of a column, click on the title box of the column. This will change the rank to numerical or alphabetical depending on the column input. Clicking the title box again will reverse the sort order. Note: Sorting is not enabled for all columns. 2.4. Copying Tables to Paste into Other Programs HyRAM tables may be copied into external programs such as Microsoft Word and Excel. To do so, select all of the cells of the table and press Ctrl+C. Tables may be pasted into external programs using Ctrl+V or pasting options defined by the external program. Figure 7 - Sorting 14 3. GENERIC INDOOR FUELING SYSTEM EXAMPLE For this document, the inputs are based off of a generic indoor fueling system that was designed with the National Fire Protection Association’s (NFPA) requirements for hydrogen systems (NFPA 2) and industry practices. The example installation is based off of the generic indoor fueling system further documented in [1] and [3]. The system is a hydrogen dispenser located within a warehouse facility. The facility is a free- standing industrial frame structure. Interior dimensions are: 100 m (length) × 100 m (width) × 7.62 m (height). There are 50 employees in the warehouse at any time. Personnel each work 2,000 hours per year. In this example, most workers are located within 50 m of the dispenser due building design. The vehicle fleet contains 150 vehicles that are operated 24 hours/day and 350 days/year. Each vehicle holds 1 kg of hydrogen and is refueled once per day. The dispenser delivers gaseous hydrogen at 35 MPa. The dispenser operates for up to 5 minutes per fueling event, and the internal hydrogen temperature is 15°C. All piping in the storage system has an outer diameter (OD) of 3/8”, wall thickness of 0.065”, and the material is ASTMA269 seamless 316 stainless steel piping. The orifice diameter within the piping is 3.25 mm. The facility temperature is 15°C and pressure is atmospheric (0.101325 MPa). Figure 8 contains the Piping and Instrumentation Diagram (P&ID) for the generic dispenser. The part count only includes components inside the building and on the main process line: one hose, 20 m of piping, five valves (ASV2, HV1, BC1, SRV1, and N1), three instruments, and 35 joints. The system also contains additional components (not pictured; within the Dispenser Appliance Boundary): two cylinders, two valves, two instruments, eight joints, 10 m of piping, and three filters. Figure 8 - P&ID for the generic dispenser used in this example [3]. 15 4. QRA MODE – INPUT 4.1. System Description The System Description window contains three tabs (Components, System Parameters, and Facility Parameters) which enable the user to input design specifications for the system. 4.1.1. Components The Components tab contains user input for nine types of components commonly seen in hydrogen applications. The user should refer to a P&ID for the proper number of components. Based on the preceding example, the Components input would be: Figure 9 - System Description window 16 4.1.2. System Parameters The System Parameters tab contains Piping and Vehicle input. This information can be found in the P&ID and the description of the facility. 4.1.2.1. Piping The Piping tab contains inputs for pipe dimensions of the system and the operating conditions (both internal to the system and in the surrounding external environment). This information is used in calculations for release sizes and characteristics. Based on the preceding example, the Piping tab input would be: Figure 10 - Components input window Figure 11 - Piping input 17 4.1.2.2. Vehicles The Vehicles tab contains inputs that establish the use conditions of the station. Users input the number of vehicles (# Vehicles), the number of times a vehicle is fueled per day (nFuelingsPerVehicleDay), and the number of operating days of the vehicles (nVehicleOperatingDays). HyRAM calculates the annual demands as the product of those three inputs. Based on the preceding example, Vehicles input would be: Note: The annual number of demands is used in the calculation of the frequency of releases from elements contained in the Fault Tree (FT). If a FT is not used, the user should input 0 for one of the inputs. 4.1.3. Facility Parameters The Facility Parameters tab contains Facility, Occupants, and Enclosure tabs. 4.1.3.1. Facility Warning: This input is not yet used in any calculations (in HyRAM version 1.0. 1.798). User input is for documentation only. The Facility tab contains measurements for the entire facility. Based on the preceding example, Facility input would be: Figure 12 - Vehicles input 18 4.1.3.2. Occupants The Occupants tab contains input details for number of persons on site (e.g., exposed employees) and a function to randomly distribute workers based on a uniform or normal distribution, or define a specific location using the deterministic distribution. These distributions are used to determine personnel locations (i.e., the distance from the system for use in harm calculations). Several scenarios can be defined for personnel. For each scenario, the user defines the Number of Targets (i.e., the number of personnel) and provides a description of the scenario in the Description field. If the user selects a Uniform or Normal distribution, the user will need to enter values for Location Distribution Parameter A and Location Distribution Parameter B. If the user selects the Deterministic distribution, only a value for Location Distribution Parameter A is required. The units (Location Parameter Unit) correspond to the distribution parameters. The Exposed Hours Per Year for a single target is also assigned by the user. If the user chooses to delete a row in the Occupants tab, click on the arrow (see Figure 14 ) next to the row to highlight the entire row, and then click the Delete button on the keyboard. When selecting the Normal distribution, Location Distribution Parameter A corresponds to the mean (μ) and Location Distribution Parameter B corresponds to the standard deviation (σ). For the Uniform distribution, Location Distribution Parameter A and Location Distribution Parameter B correspond to the minimum (a) and maximum (b) value, respectively. Deterministic distribution corresponds to a constant value for the location and is entered in Location Distribution Parameter A. Distributions are applied with respect to the hydrogen system; that is, the hydrogen system is regarded as the central location. Worker positions relative to the storage system could be randomly assigned by sampling from a normal distribution. For the example case [3], the 50 workers are assumed to be within 50 m of the storage system. The authors translate this assumption into a normal distribution centered at the dispenser (μ = 0 m) and a standard deviation of 50/3 =16.67 m (μ = 0 m, σ = 16.67 m). The Figure 13 - Facility input 19 authors recommend using the shortest dispenser-to-wall distance and dividing by three since three standard deviations account for 99.7% of the possible positions. Based on the preceding example, the Occupants tab input would be: Figure 14 - Example input for Occupants tab 4.1.3.3. Enclosure Warning: This input is not yet used in any calculations (in HyRAM version 1.0.1.798). User input is for documentation only. The Enclosure tab contains information about an enclosure in the system that may exist in the system, such as a storage container being used to transport and hold the dispensing system. The user can choose to include/exclude the enclosure in the calculation by checking/unchecking the Use and Define Enclosure check box. The following input is based on a standard ISO container. The container holds the dispensing system and measures 12 m (length) × 2.5 m (width) × 3 m (height). There is one ceiling vent, measuring 0.1 m 2 . The ceiling vent is located 2.5 m above the ground. There is one floor vent, measuring 0.1 m 2 . The floor vent is located 0.05 m above the ground. A release from the dispensing system measures 1 m high and occurs 1.5 m from the nearest wall. The Wind Velocity represents the mechanical venting speed and is set to 0 m/s for the ceiling and floor vents. Figure 15 - Enclosure input 20 The user may also choose to include a ceiling vent ( Figure 16 ) and/or a floor vent ( Figure 17 ) for the enclosure by checking/unchecking the respective check boxes. Figure 16 - Ceiling Vent input Figure 17 - Floor Vent input Note: The variables in the Enclosure tab and the Overpressure tab in Physics Mode are not yet linked (in HyRAM version 1.0.1.798). In a future version of HyRAM the inputs on these two screens will share a variable set. Note: The Ceiling Vent and Floor Vent are modeled such that they are on the walls near the ceiling and floor. In other words, the vents are not embedded in the ceiling and floor but in the side walls. 21 4.2. Scenarios The Scenarios window contains Event Sequence Diagrams (ESDs), which model the hydrogen release scenarios and Fault Trees which model causes of hydrogen releases. Note: The ESDs and FTs cannot be modified in HyRAM 1.0 – modifiable ESDs and FTs will be introduced in HyRAM 2.0. 4.2.1. Event Sequence Diagrams The Event Sequence Diagrams tab illustrates the scenarios that could occur after a hydrogen release, depending on the success of detection/isolation and the time of ignition. There are three possible outcomes that may result if a hydrogen release is not detected and isolated: jet fires, explosions, and unignited releases. If hydrogen is not ignited (either due to successful detection/isolation of the release or due to lack of ignition), there are no risk- significant consequences. When a high-pressure release of hydrogen is immediately ignited near the source, the result is a classic turbulent-jet flame. If hydrogen is not immediately ignited, hydrogen can accumulate. If the accumulated hydrogen is subsequently ignited (delayed ignition), the result is an explosion. The Event Sequence Diagram coded in HyRAM models these scenarios. The user may input a value (between 0.0 and 1.0) for gas and flame detection credit (the probability of successful release detection and isolation before ignition). This value is the probability associated with the ESD event yes/true (upper branch) for a single node “Leak detected and isolated” (illustrated as two nodes in Figure 18 , but treated as a single node in the HyRAM logic). If the user has separate probabilities for leak (release) detected and leak (release) isolated, simply multiply the two probabilities together and enter this product into the gas detection credit input. Figure 18 - Event Sequence Diagram showing the scenarios coded in HyRAM. 22 4.2.2. Fault Trees The top event probability from these FTs (5.5e-9 failures/demand) is hard-coded into HyRAM: this value is multiplied by the annual number of demands from Section 4.1.2.2 , and the resulting product is added to the frequency of 100% releases. To remove the FT from the calculation, the user should enter 0 in one of the inputs in Section 4.1.2.2. The model images contained on this tab are used only to illustrate the future concept of the FT feature for HyRAM 2.0. 4.3. Data/Probabilities The Data/Probabilities window contains the data for Component Leaks, Component Failures, and Ignition Probabilities. 4.3.1. Component Leaks The Component Leaks tab contains assumptions about the frequency of leaks of five size categories for nine types of components used in hydrogen systems. The size categories are percentages (0.01%, 0.1%, 1%, 10%, and 100%) of the pipe area which is calculated from the user input described in Section 4.1.2.1 . HyRAM contains default values for the leak frequency from each type of component. These frequencies were assembled from generic data from offshore oil, process chemical, and nuclear power industries and documented in [4] . The values in HyRAM are encoded as parameters of a lognormal distribution ( mu and sigma ). HyRAM automatically calculates the mean and variance from a given mu and sigma. Users may modify a component’s leak probabilities by entering new values for mu and sigma. The default Component Leaks for Compressors is: Figure 19 - Component Leak frequencies input for Compressors 23 4.3.2. Component Failures Warning: This input is not yet used in any calculations (in HyRAM version 1.0. 1.798). User input is for documentation only. The Component Failures tab will contain generic hydrogen data about the likelihood of (non- leak) failure mechanisms of specific components, and about the likelihood of different accident- related events such as drive-offs. Figure 20 - Component Failures input window concept 24 4.3.3. Ignition Probabilities The Ignition Probabilities tab contains ignition probabilities associated with different release flow rate thresholds. The probabilities are associated with two ignition event classes: either that the gas ignites immediately (leading to a jet fire) or ignites with a delay (leading to an explosion). The default input is based on published values for probabilities of hydrogen ignition cited in [4]. Users may input different values for immediate and/or delayed ignition probabilities for any of the defined release rates. Users may also add new release rate categories and remove the current categories. To add a new Ignition Flow Rate Threshold, enter the value in the kg/s box and click the Add button. The addition of a new release rate requires the new input of ignition probabilities. To delete an Ignition Flow Rate Threshold, click on the value you want to delete in the Ignition Flow Rate Threshold box and click the Delete Selected button. Figure 21 - Ignition Probabilities input 25 4.4. Consequence Models The Consequence Models window contains a selection of models used to calculate the physical effects of ignited releases and the probability of harm from a known physical effect. 4.4.1. Physical Consequence Models The Physical Consequence Models tab contains the Notional Nozzle Model, Flame Radiation Model, and Overpressure Model. The default selections for physical effect models are the Birch2 notional nozzle model, Houf/Schefer (straight flame) flame radiation model, and Bauwens/Ekoto overpressure model. The default options can be changed by selecting another option from the dropdown menu. Description of the different physical consequence models can be found in [1]. Warning: Only the Birch2 Notional Nozzle Model is active in QRA mode in HyRAM vers ion 1.0.1.798. Selecting one of the other notional nozzle models will generate an error message when the user attempts to calculate the Scenario Stats and Risk Metrics. Figure 22 - Physical Consequence Models input The Overpressure Model has two options: Bauwens/Ekoto and Computational Fluid Dynamics (CFD). The CFD model requires an input of peak overpressure (P_s; the default units are Pa) and impulse (always in Pa/sec) for the five release (leak) size categories. Warning: Bauwens/Ekoto Overpressure Model is not active in QRA mode in HyRAM version 1.0.1.798. It will soon be linked to the overpressure model in physics mode. 26 Figure 23 - Physical Consequence CFD model input 4.4.2. Harm Models The Harm Models tab contains the Thermal Probit Model and the Overpressure Probit Model. Users may select the preferred probit models by clicking the drop-down next to the model name. Figure 24 - Harm model selection window 27 5. QRA MODE – OUTPUT 5.1. Scenario Stats The Scenario Stats window is divided into three sections: Scenario Ranking, Cut Sets, and Importance Measures. 5.1.1. Scenario Ranking The Scenario Ranking tab contains the end state types, frequencies, and potential loss of life (PLL) contribution for all release sizes. By default, the results are sorted by release size. These results can be sorted by any of the headings by clicking on the heading name (we recommend sorting by Avg. Events/Year or by PLL). Based on the preceding example, the Scenario Ranking output would be: Figure 25 - Scenario Ranking Output 28 The filter option allows users to view the Scenario results tab for an individual end state type. To filer the results, click which end state type(s) you would like to have isolated in the End State Categories box. The grouping option is not currently enabled. 5.1.2. Cut Sets The Cut Sets t ab is currently inactive – no results a re generated in version 1.0.1 . 798 . The same output is displayed regardless of user - defined inputs or the system being modeled by the user . 5.1.3. Importance Measure The Importance Measur e t ab is currently inactive o nly – no re sults are generated in version 1.0.1 . 798 . The same output is displayed regardless of user - defined inputs or the system being modeled by the user . 5.2. Risk Metrics The Risk Metrics window contains the results of the calculated risk in terms of Potential Loss of Life (PLL), Fatal Accident Rate (FAR), and Average Individual Risk (AIR). Details of the risk metric calculations can be found in [1]. Based on preceding example, the Risk Metric output would be: Figure 26 - Scenario results filtered to show only jet fire end states Figure 27 - Risk Metrics Output 29 6. PHYSICS MODE 6.1. Gas Plume Dispersion The Gas Plume Dispersion window contains variables that calculate the characteristics of a gaseous hydrogen plume. Before clicking the Calculate button located at the bottom right of the window, the user should input values in the Plot Properties, Standard and Advanced tabs. 6.1.1. Plot Properties The Plot Properties tab contains the characteristics of the output plot for the gaseous hydrogen plume. 6.1.2. Standard The Standard input tab contains the standard physical variables that will affect the gaseous hydrogen plume. The orifice diameter (diameter of the release) is 3.25 mm. Based on the preceding example, the Standard input would be: Figure 28 - Plot Properties input Figure 29 - Standard input 30 6.1.3. Advanced The Advanced tab contains the advanced physical variables that will affect the gaseous hydrogen plume. Based on the preceding example, the Advanced input would be: To generate the Output plot, click the Calculate button located at the bottom right of the window. Note: Variable co_volume_constant and Source_Gas_MW should not be changed. These constants are valid for hydrogen and are only included as placeholders for future versions where gases other than hydrogen are to be simulated. Figure 30 - Advanced input 31 6.1.4. Gas Plume Dispersion Output Based on the preceding example, the Gas Plume Dispersion Output would be: If the user wishes to save the output, click the Save Plot button located at the bottom right of the window. Figure 31 - Gas Plume Dispersion output 32 6.2. Overpressure 6.2.1. Indoor Release Parameters The Indoor Release Parameters tab contains measurements to calculate the overpressure of the storage system following an indoor release. The default window for the Indoor Release Parameters tab is shown below. A general sketch is provided to the right of the variable inputs to help the user visualize the enclosure and identify the variables related to the enclosure and the release. Once the user has entered all inputs and selected the desired Output Options (see Section 6.2.2 ), then the user clicks the Calculate button to produce the Overpressure Output. Figure 32 - Indoor Release Parameters input 33 6.2.2. Output Options The Output Options tab allows the user to specify times for calculating pressure (less than 30 seconds), specify pressures to be drawn across the plot with a horizontal line, and place dots where pressure and time intersect. Note: User must return to the Indoor Release Parameters tab and click Calculate in Figure 32 to produce the Output. 6.2.3. Overpressure Output The Output tab contains a Pressure plot, Layer plot, and data table for those plots. Based on the default inputs, the Pressure plot would be: Figure 33 - Output Options input 34 In the Overpressure plot, the layer plot represents the overpressure that would develop if the layer were ignited. The combined plot represents the overpressure that would develop if the layer plus the gas plume were to be ignited. The pressures specified in Section 6.2.2 (13.8 kPa, 15 kPa, and 55.2 kPa) are also shown on this plot. If the user wishes to save the output, click the Save Plot button located at the bottom right of the window. Figure 34 - Overpressure Output Pressure Plot 35 Based on the default inputs, the Layer plot would be: The Height of flammable layer represents the height of the hydrogen layer that develops above the floor. At 30 seconds, the hydrogen layer height is about 2.1 m above the floor and extends to the top of the enclosure. The hydrogen mole fraction of this layer is represented by 𝜒 𝐻 2 . At 30 seconds, the hydrogen mole fraction is about 0.035. It is assumed that at any point in space within the hydrogen layer, the hydrogen mole fraction is represented by 𝜒 𝐻 2 ; i.e., the hydrogen mole fraction from 2.1 m to 2.72 m (height of enclosure) is 0.035 at 30 seconds. Furthermore, in the Pressure plot ( Figure 34 ), overpressure is non-zero from about 2 seconds to 7 seconds. Comparing this time range to the Layer plot above, we see that the hydrogen mole fraction is greater than or equal to the lower flammable limit of hydrogen ( 𝜒 𝐻 2 = 0.04) in this timeframe. If the user wishes to save the output, click the Save Plot button located at the bottom right of the window. Figure 35 - Overpressure Output Layer Plot 36 Note : HyRAM (version 1.0.1.798 ) incorrectly list the hydrogen layer as the Height of flammable layer. The hydrogen layer can only be regarded as the flammable layer when the mole fraction is between 0.04 and 0.75 . This label will be corrected in subsequent versions. Based on the default inputs, the Data tab would output: The units for Time and Pressure are seconds and kPa, respectively. The pressure data in the table represents the overpressure of the combined plot in Figure 34 . In addition to the tabulated data, the Maximum pressure (Pa) and Time this occurred (seconds) are also provided in the Data tab. Figure 36 - Overpressure Output Data. 37 6.3. Jet Flame Jet Flame contains two windows: Flame Temperature/Trajectory and Radiative Heat Flux. 6.3.1. Flame Temperature/Trajectory The Flame Temperature/Trajectory window contains the variables that calculate behavior of a jet flame, including flame temperature, direction, and heat flux. The hydrogen system is located in a warehouse that has a relative humidity of 0.89. The flame and trajectory results are based on the Notional Nozzle Model Birch2. The input window would look like the following: To generate the Output plot, click the Calculate button located at the bottom right of the window. Figure 37 - Flame Temperature / Trajectory input 38 Based on the preceding example/input, the Flame Temperature/Trajectory output would be: If the user wishes to save the output, click the Save Plot button located at the bottom right of the window. 6.3.2. Radiative Heat Flux The Radiative Heat Flux window contains the variables that calculate the heat flux plot. The user specifies the coordinates where the radiative heat flux is calculated by entering values in X Radiative Heat Flux Points (m), Y Radiative Heat Flux Points (m), and Z Radiative Heat Flux Points (m). For reference, a general sketch of the jet flame is provided to the right of the variable inputs to help the user visualize the coordinate system with respect to the flame and identify the variables related to the jet flame. The user also specifies the desired radiative heat flux Contour Levels (kW/m^2) corresponding to desired harm criteria to be plotted. Based on the preceding example, the Radiative Heat Flux input would be: Figure 38 - Flame Temperature / Trajectory output 39 Based on the preceding example, the Radiative Heat Flux output would be: The table provides the radiative heat flux calculated at the user specified positions (see Figure 39 ). By clicking the Copy to Clipboard button, the table is copied and can be pasted into another program, such as Microsoft Excel. Figure 39 - Radiative Heat Flux input Figure 40 - Radiative Heat Flux output 40 The “plotIso Output” is a visual representation of the radiative heat flux. The image shows a plot of the 3-D isometric surfaces at which radiative heat flux is greater than or equal to the user specified contour levels (see Figure 39 ). If the user wishes to save the output, click the Save Plot button located at the bottom right of the window. 41 7. SUMMARY OF HyRAM INPUT AND OUTPUT 7.1. QRA Mode Input 7.1.1. System Description Input The System Description window contains information about the system itself, such as the components, system parameters, and facility parameters. All inputs from System Description tab are listed in Table 1 . Table 1 - Summary of System Description Input HyRAM Input Screen HyRAM Input Parameter Example User Input Values Components Compressors 1 Cylinders 3 Valves 34 Instruments 11 Joints 10 Hoses 2 Pipes (length in meters) 3 Filters 3 Flanges 0 System Parameters- Piping Pipe OD 1.7145 cm Pipe wall thickness 0.23114 cm Hydrogen Temperature 15 ° C Hydrogen Pressure 1034 bar Ambient Temperature 15 ° C Ambient Pressure 1.01325 bar System Parameters - Vehicles Number of Vehicles 50 # Fuelings Per Vehicle Day 1 Vehicle Operating Days 360 Annual demands (calculated from categories above) 18,000 Facility Parameters- Facility Length 100 m Width 100 m Height 7.62 m Occupants Number of Targets 50 occupants in the warehouse Location Distribution Type Normal Location Distribution Parameter A 0 m Location Distribution Parameter B 16.67 m Exposed Hours Per Year 2000 7.1.2. Scenarios The Scenarios window contains different scenarios and outcomes displayed as event sequence diagrams and fault trees. In the current version of HyRAM, these defaults cannot be modified. 7.1.3. Data/Probabilities The Data/Probabilities window contains the probability of occurrence of the events (e.g., component leaks, component failures, and ignition). Users may modify the ignition probabilities 42 and the component leak frequencies. Note that the component leak frequency values are modified by changing the mu and sigma values from which the mean and variance are calculated. Table 2 - Summary of component leak frequency data. Component Leak size Mu Sigma Mean (Calculated) Variance (Calculated) Compressors 0.01% -1.72 0.21 1.83e-1 1.58e-3 0.1% -3.92 0.48 2.23e-2 1.32e-4 1% -5.14 0.79 8.01e-3 5.55e-5 10% -8.84 0.84 2.06e-4 4.31e-8 100% -11.34 1.37 3.04e-5 5.11e-9 Cylinders 0.01% -13.84 0.62 1.18e-6 6.46e-13 0.1% -14.00 0.61 9.98e-7 4.43e-13 1% -14.40 0.62 6.80e-7 2.19e-13 10% -14.96 0.63 3.90e-7 7.36e-14 100% -15.60 0.67 2.09e-7 2.47e-14 Filters 0.01% -5.25 1.98 3.77e-2 7.18e-2 0.1% -5.29 1.52 1.60e-2 2.30e-3 1% -5.34 1.48 1.44e-2 1.64e-3 10% -5.38 0.89 6.87e-3 5.67e-5 100% -5.43 0.95 6.94e-3 7.16e-5 Flanges 0.01% -3.92 1.66 7.86e-2 9.13e-2 0.1% -6.12 1.25 4.82e-3 8.84e-5 1% -8.33 2.20 2.72e-3 9.41e-4 10% -10.54 0.83 3.74e-5 1.41e-9 100% -12.75 1.83 1.55e-5 6.53e-9 Hoses 0.01% -6.81 0.27 1.15e-3 9.82e-8 0.1% -8.64 0.55 2.06e-4 1.51e-8 1% -8.77 0.54 1.79e-4 1.11e-8 10% -8.89 0.55 1.60e-4 8.92e-9 100% -9.86 0.85 7.47e-5 5.82e-9 Joints 0.01% -9.57 0.16 7.05e-5 1.35e-10 0.1% -12.83 0.76 3.56e-6 9.84e-12 1% -11.87 0.48 7.80e-6 1.54e-11 10% -12.02 0.53 6.96e-6 1.57e-11 100% -12.15 0.57 6.21e-6 1.45e-11 Pipes 0.01% -11.86 0.66 8.78e-6 4.16e-11 0.1% -12.53 0.69 4.57e-6 1.26e-11 1% -13.87 1.13 1.80e-6 8.27e-12 10% -14.58 1.16 9.12e-7 2.33e-12 100% -15.73 1.71 6.43e-7 7.39e-12 Valves 0.01% -5.18 0.17 5.71e-3 9.90e-7 0.1% -7.27 0.40 7.50e-4 9.67e-8 1% -9.68 0.96 9.92e-5 1.49e-8 43 10% -10.32 0.68 4.13e-5 9.86e-10 100% -12.00 1.33 1.49e-5 1.09e-9 Instruments 0.01% -7.32 0.68 8.31e-4 4.00e-7 0.1% -8.50 0.79 2.78e-4 6.80e-8 1% -9.06 0.90 1.73e-4 3.68e-8 10% -9.17 1.07 1.84e-4 7.18e-8 100% -10.20 1.48 1.11e-4 9.85e-8 Table 3 - Summary of ignition probabilities Hydrogen Release Rate (kg/s) Immediate Ignition Probability Delayed Ignition Probability < 0.125 0.008 0.004 0.125 – 6.25 0.053 0.027 > 6.25 0.230 0.120 7.1.4. Consequence Models The Consequence Models window contains selectors for the different models used to calculate physical effects of ignited releases and the probability of harm from a known physical effect. All inputs from the Consequence Models tab are listed in Table 4 . Table 4 - Summary Consequence Models Input HyRAM Input Screen HyRAM Input Parameter Example User Input Values Consequence Models - Physical Consequence Notional Nozzle Birch2 Flame Radiation Model Ekoto/Houf (curved flame) Overpressure Model CFD P_s = [0,0,0,0,0] Impulse = [0,0,0,0,0] Model Parameters - Harm Thermal Probit Tsao Thermal Exposure 60 s Overpressure Probit Lung Eisenberg 7.2. QRA Mode Output 7.2.1. Risk Metrics The Risk Metrics window calculates risk in terms of FAR, PLL, and AIR, shown in Table 5 . 44 Table 5 - Summary Risk Metric Risk metric Value Unit Potential Loss of Life (PLL) 1.339e-03 Fatalities/system-year Fatal Accident Rate (FAR)/100M exposed hours 0.3057 Fatalities in 10^8 person-hours Average individual risk (AIR) 6.114e-06 Fatalities/year 7.2.2. Scenario Stats The Scenario Stats window displays the probabilities of risk scenarios and calculates frequencies of accident scenarios, cut-set probabilities, and importance measures shown in Table 6 . (Only scenario ranking is active in current version. Cut sets and important measures are placeholders for future versions). Table 6 - Summary Scenario Stats Rank Scenario End State Type Avg. Events/Year PLL Contribution 1 100pct Release No Ignition 0.0217 0.00 % 2 100pct Release Jet fire 0.0001 99.60 % 3 100pct Release Explosion 0.0001 0.00 % 4 10pct Release No Ignition 0.0223 0.00 % 5 10pct Release Jet fire 0.0000 0.40 % 6 10pct Release Explosion 0.0000 0.00 % 7 1pct Release No Ignition 0.0452 0.00 % 8 1pct Release Jet fire 0.0000 0.00 % 9 1pct Release Explosion 0.0000 0.00 % 10 0.1pct Release No Ignition 0.0550 0.00 % 11 0.1pct Release Jet fire 0.0000 0.00 % 12 0.1pct Release Explosion 0.0000 0.00 % 13 0.01pct Release No Ignition 0.1616 0.00 % 14 0.01pct Release Jet fire 0.0000 0.00 % 15 0.01pct Release Explosion 0.0000 0.00 % 45 7.3. Physics Input 7.3.1. Gas Plume Dispersion Input The Gas Plume Dispersion tab uses the inputs in Table 7 to determine the dispersion of hydrogen from a release. Table 7 - Summary of Gas Plume Dispersion input HyRAM Input Parameter Example input value X Lower/Upper Limits -2.5, 2.5 Y Lower/Upper Limits 0, 10 Flame Boundary Contours 0.04, 0.08 Ambient Pressure 0.101325 MPa Ambient Temperature 15 ° C Orifice Diameter 3.25 mm Orifice Discharge 0.5625 Distance to wall 50 m Hydrogen Pressure 35 MPa Hydrogen Temperature 15 ° C Enclosure Height 7.62 m Angle of Jet 90 ° 7.3.2. Overpressure Input The Overpressure tab calculates overpressure and layering (accumulation) behavior for gaseous hydrogen in an enclosure. Table 8 - Summary of Overpressure input HyRAM Input Parameter Example Input Value Ambient Pressure 0.101325 MPa Ambient Temperature 15 ° C H2 Pressure 13.42 MPa H2 Temperature 14.65 ° C Tank Volume 3.63 L Leak Diameter 3.56 mm Discharge Coefficient-Orifice 0.5625 Discharge Coefficient-Release 1 Discharge Coefficient-Blocking Area 0.51 Release Area 0.01716 m 2 46 7.3.3. Jet Flame Input The Jet Flame tab calculates the behavior of a jet flame, including flame temperature, direction and heat flux. Table 9 - Summary of Jet Flame inputs Release Height 0.2495 m Enclosure Height 2.72 m Floor Ceiling Area 16.72216 m 2 Distance from Release to Wall 2.1255 m Ceiling vent area 0.090792 m 2 Ceiling vent height from floor 2.42 m Floor vent height from floor 0 m Floor vent cross-sectional area 0.00762 m 2 Ceiling vent discharge coefficient 0.61 Floor vent discharge coefficient 0.61 Wind speed 0 m/s HyRAM Input Parameter Example input value Notional Nozzle Model Birch2 Radiation Source Methodology Multiple radiation sources, integrated Ambient Temperature 15 ° C Ambient Pressure 0.101325 MPa Hydrogen Temperature 15 ° C Hydrogen Pressure 35 MPa Leak Diameter 3.25 mm Relative Humidity 0.89 Leak Height from Ground 1 m X radiative heat flux points (m) (Flame centerline) 1,2,3,4,5,6,7,8,9,10 Y radiative heat flux points (m) (Vertical) 1,2,3,4,5,6,7,8,9,10 Z radiative heat flux points (m) (Perpendicular to flame) 1,2,3,4,5,6,7,8,9,10 47 7.4. Physics Mode Outputs 7.4.1. Gas Plume Dispersion Output Window The Gas Plume Dispersion Output is provided in Figure 41 below. Figure 41 shows the hydrogen mole fraction of the gas plume propagating from the release. Figure 41 - Gas Plume Dispersion output 7.4.2. Overpressure Output Windows The Overpressure Output windows are shown in Figure 42 and Figure 43 . The Overpressure Output data is provided in Table 10 . In Figure 42 , the layer overpressure plot and combined (layer plus gas plume dispersing from release location) overpressure plot are a function of the ignition delay time. Figure 43 shows the height from the floor of the hydrogen layer and the uniform hydrogen mole fraction of that layer over time. 48 Figure 42 - Overpressure Output Pressure plot Figure 43 - Overpressure Output Layer plot 49 Table 10 - Overpressure Output data Time (seconds) Overpressure (kPa) 1 1.947e+04 2 2.973e+04 3 2.748e+04 4 2.662e+04 5 2.621e+04 6 2.607e+04 7 2.600e+04 8 1.147e+02 9 7.153e+01 10 4.453e+01 11 2.976e+01 12 2.048e+01 13 1.409e+01 14 9.446e+00 15 7.019e+00 16 4.438e+00 17 3.552e+00 18 2.848e+00 19 2.193e+00 20 1.193e+00 21 1.003e+00 22 8.466e-01 23 7.145e-01 24 5.241e-01 25 8.658e-02 26 0.000e+00 27 0.000e+00 28 0.000e+00 29 0.000e+00 29.5 0.000e+00 50 7.4.3. Jet Flame Output Windows Flame Temperature/Trajectory outputs Figure 44 illustrating the flame temperature (K) at position (x, y): Radiative Heat Flux outputs radiative heat flux (kW/m 2 ) at position [X, Y, Z] and Figure 45 illustrating three dimensional contours of where the radiative heat flux reaches three specific values: 1.577 kW/m 2 (no harm for long exposures) 4.732 kW/m 2 , (pain after 20 seconds; possible first degree burn) and 25.237 kW/m 2 (100% lethality from a 60 second exposure): Figure 44 - Summary Flame Temperature / Trajectory output Figure 45 - Summary of Radiative Heat Flux output 51 Table 11 - Summary of Radiative Heat Flux data X (m) Y (m) Z (m) Flux (kW/m^2) 1 1 1 20.1951 2 2 2 11.8862 3 3 3 6.8602 4 4 4 4.0163 5 5 5 2.4640 6 6 6 1.6060 7 7 7 1.1080 8 8 8 0.8020 9 9 9 0.6035 10 10 10 0.4686 52 8. REFERENCES [1] K. M. Groth, E. S. Hecht, and J. T. Reynolds (2015), Methodology for assessing the safety of Hydrogen Systems: HyRAM 1.0 technical reference manual. SAND2015-10216, Sandia National Laboratories, Albuquerque, NM, November. [2] K. M. Groth, J. L. LaChance and A. P. Harris (2013). “Design-stage QRA for indoor vehicular hydrogen fueling systems;” Proceedings of the European Society for Reliability Annual Meeting (ESREL 2013) , Amsterdam, September 29 - October 2. [3] K. M. Groth, J. L. LaChance and A. P. Harris (2012). Early-Stage Quantitative Risk Assessment to Support Development of Codes and Standard Requirements for Indoor Fueling of Hydrogen Vehicles . SAND2012-10150, Sandia National Laboratories, Albuquerque, NM November. [4] J. LaChance, W. Houf, B. Middleton and L. Fluer (2009), Analyses to Support Development of Risk-Informed Separation Distances for Hydrogen Codes and Standards . SAND2009-0874, Sandia National Laboratories, Albuquerque, NM March.