HeliumFluidProperties

Fluid properties for helium

Description

The HeliumFluidProperties class provides fluid properties for helium Petersen (1970).

The standard deviation $var element = document.getElementById("moose-equation-cf95b1d7-b746-4344-905c-2caf7f366d20");katex.render("\\sigma", element, {displayMode:false,throwOnError:false,macros:{"\\pf":"\\frac{\\partial #1}{\\partial #2}"}});$ for density is approximately 0.03% at a pressure of 0.1 MPa and 0.3% at 10 MPa, or

$var element = document.getElementById("moose-equation-a734c0a7-dd92-4fec-8cca-c2b65b78eef0");katex.render("\\sigma=0.03\\sqrt{\\frac{P}{10}}\\ \\%", element, {displayMode:true,throwOnError:false,macros:{"\\pf":"\\frac{\\partial #1}{\\partial #2}"}});$

where $var element = document.getElementById("moose-equation-55879796-a330-4b26-93d5-69a472f96ee8");katex.render("P", element, {displayMode:false,throwOnError:false,macros:{"\\pf":"\\frac{\\partial #1}{\\partial #2}"}});$ is in MPa. The isobaric and isochoric specific heats are constant, with an uncertainty at 273 K of 0.05% at 0.1 MPa and 0.5% at 10 MPa. At higher temperature, the standard deviation is lower, and approximately

$var element = document.getElementById("moose-equation-77afb9e5-f393-4e42-8c04-bb2e29b27606");katex.render("\\sigma=0.05\\left(\\frac{P}{10}\\right)^{0.6-0.1T/T_o}\\ \\%", element, {displayMode:true,throwOnError:false,macros:{"\\pf":"\\frac{\\partial #1}{\\partial #2}"}});$

where $var element = document.getElementById("moose-equation-0d2a6bd5-6568-40ee-8c20-5ad0d25cf577");katex.render("T_o=273.16", element, {displayMode:false,throwOnError:false,macros:{"\\pf":"\\frac{\\partial #1}{\\partial #2}"}});$ K, $var element = document.getElementById("moose-equation-b942fe6f-0ba7-4599-a1c6-8039ac5f3952");katex.render("P", element, {displayMode:false,throwOnError:false,macros:{"\\pf":"\\frac{\\partial #1}{\\partial #2}"}});$ is in MPa, and $var element = document.getElementById("moose-equation-3401b03e-846b-458b-992a-363cd44887b0");katex.render("T", element, {displayMode:false,throwOnError:false,macros:{"\\pf":"\\frac{\\partial #1}{\\partial #2}"}});$ is in K. The standard deviation of the dynamic viscosity is approximately 0.4% at 273 K and 2.7% at 1800 K, or approximately

$var element = document.getElementById("moose-equation-dbf96410-b34f-4e19-9cc0-7acdacbeda1e");katex.render("\\sigma = 0.0015T\\ \\%", element, {displayMode:true,throwOnError:false,macros:{"\\pf":"\\frac{\\partial #1}{\\partial #2}"}});$

where $var element = document.getElementById("moose-equation-287da4f2-5c64-4c8c-8df2-975b5ca6aca4");katex.render("T", element, {displayMode:false,throwOnError:false,macros:{"\\pf":"\\frac{\\partial #1}{\\partial #2}"}});$ is in K. The standard deviation of the thermal conductivity is approximately 1% at 273 K and 6% at 1800K, or

$var element = document.getElementById("moose-equation-a1ac8c11-fdb9-4ef9-a67f-0d90a1261aca");katex.render("\\sigma=0.0035T\\ \\%", element, {displayMode:true,throwOnError:false,macros:{"\\pf":"\\frac{\\partial #1}{\\partial #2}"}});$

where $var element = document.getElementById("moose-equation-08c3187b-43cf-4f15-8fac-ee465d018fdc");katex.render("T", element, {displayMode:false,throwOnError:false,macros:{"\\pf":"\\frac{\\partial #1}{\\partial #2}"}});$ is in K. The speed of sound is calculated as Harlow and Amsden (1971)

$var element = document.getElementById("moose-equation-4ee5bb9d-644a-4883-8510-aa453ddb87f1");katex.render("c=\\sqrt{\\frac{-\\left\\lbrack\\frac{P}{\\rho^2}-\\frac{C_v}{\\left(\\frac{\\partial\\rho}{\\partial T}\\right)_p}\\right\\rbrack}{C_v\\left(\\frac{\\partial\\rho}{\\partial P}\\right)_T\\left(\\frac{\\partial T}{\\partial \\rho}\\right)_P}}", element, {displayMode:true,throwOnError:false,macros:{"\\pf":"\\frac{\\partial #1}{\\partial #2}"}});$

Range of Validity

The HeliumFluidProperties UserObject is valid for:

273.15 K $var element = document.getElementById("moose-equation-b0152ee3-0e19-43b1-8c90-fa05415ae6b3");katex.render("\\le", element, {displayMode:false,throwOnError:false,macros:{"\\pf":"\\frac{\\partial #1}{\\partial #2}"}});$ $var element = document.getElementById("moose-equation-c487b99a-fc03-427a-9616-7a511473eed9");katex.render("T", element, {displayMode:false,throwOnError:false,macros:{"\\pf":"\\frac{\\partial #1}{\\partial #2}"}});$ $var element = document.getElementById("moose-equation-68679137-e66d-4993-b718-c1dd6dc67d07");katex.render("\\le", element, {displayMode:false,throwOnError:false,macros:{"\\pf":"\\frac{\\partial #1}{\\partial #2}"}});$ 1800 K and
0.1 MPa $var element = document.getElementById("moose-equation-98094ad5-c8cc-4536-9b72-c0ac5595fc60");katex.render("\\le", element, {displayMode:false,throwOnError:false,macros:{"\\pf":"\\frac{\\partial #1}{\\partial #2}"}});$ $var element = document.getElementById("moose-equation-238a6da3-31b8-46d6-adeb-fddc8d1dc0fb");katex.render("p", element, {displayMode:false,throwOnError:false,macros:{"\\pf":"\\frac{\\partial #1}{\\partial #2}"}});$ $var element = document.getElementById("moose-equation-62bab433-14c5-489c-8447-21c2943b8a23");katex.render("\\le", element, {displayMode:false,throwOnError:false,macros:{"\\pf":"\\frac{\\partial #1}{\\partial #2}"}});$ 10 MPa.

Input Parameters

allow_imperfect_jacobiansFalsetrue to allow unimplemented property derivative terms to be set to zero for the AD API
Default:False
C++ Type:bool
Options:
Description:true to allow unimplemented property derivative terms to be set to zero for the AD API
execute_onTIMESTEP_ENDThe list of flag(s) indicating when this object should be executed, the available options include NONE, INITIAL, LINEAR, NONLINEAR, TIMESTEP_END, TIMESTEP_BEGIN, FINAL, CUSTOM.
Default:TIMESTEP_END
C++ Type:ExecFlagEnum
Options:NONE INITIAL LINEAR NONLINEAR TIMESTEP_END TIMESTEP_BEGIN FINAL CUSTOM
Description:The list of flag(s) indicating when this object should be executed, the available options include NONE, INITIAL, LINEAR, NONLINEAR, TIMESTEP_END, TIMESTEP_BEGIN, FINAL, CUSTOM.
fp_typesingle-phase-fpType of the fluid property object
Default:single-phase-fp
C++ Type:FPType
Options:
Description:Type of the fluid property object

Optional Parameters

allow_duplicate_execution_on_initialFalseIn the case where this UserObject is depended upon by an initial condition, allow it to be executed twice during the initial setup (once before the IC and again after mesh adaptivity (if applicable).
Default:False
C++ Type:bool
Options:
Description:In the case where this UserObject is depended upon by an initial condition, allow it to be executed twice during the initial setup (once before the IC and again after mesh adaptivity (if applicable).
control_tagsAdds user-defined labels for accessing object parameters via control logic.
C++ Type:std::vector
Options:
Description:Adds user-defined labels for accessing object parameters via control logic.
enableTrueSet the enabled status of the MooseObject.
Default:True
C++ Type:bool
Options:
Description:Set the enabled status of the MooseObject.
force_preauxFalseForces the GeneralUserObject to be executed in PREAUX
Default:False
C++ Type:bool
Options:
Description:Forces the GeneralUserObject to be executed in PREAUX
use_displaced_meshFalseWhether or not this object should use the displaced mesh for computation. Note that in the case this is true but no displacements are provided in the Mesh block the undisplaced mesh will still be used.
Default:False
C++ Type:bool
Options:
Description:Whether or not this object should use the displaced mesh for computation. Note that in the case this is true but no displacements are provided in the Mesh block the undisplaced mesh will still be used.

Advanced Parameters

References

F. H. Harlow and A. A. Amsden. Fluid Dynamics. Technical Report LA-4700, Los Alamos National Laboratory, 1971.

H. Petersen. The Properties of Helium: Density, Specific Heats, Viscosity, and Thermal Conductivity at Pressures from 1 to 100 bar and from Room Temperature to about 1800 K. Technical Report, Danish Atomic Energy Commission, 1970.

@TechReport{petersen,
    author = "Petersen, H.",
    title = "{The Properties of Helium: Density, Specific Heats, Viscosity, and Thermal Conductivity at Pressures from 1 to 100 bar and from Room Temperature to about 1800 K}",
    institution = "Danish Atomic Energy Commission",
    year = "1970"
}

Description
Range of Validity
Input Parameters
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