HeliumFluidProperties

Fluid properties for helium

Description

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

The standard deviation $var element = document.getElementById("moose-equation-69775c39-e8f5-4525-b585-4b14973fb1fb");katex.render("\\sigma", element, {displayMode:false,throwOnError:false});$ for density is approximately 0.03% at a pressure of 0.1 MPa and 0.3% at 10 MPa, or

$var element = document.getElementById("moose-equation-497d9bd6-0f36-4204-87ae-e9958017ba18");katex.render("\\sigma=0.03\\sqrt{\\frac{P}{10}}\\ \\%", element, {displayMode:true,throwOnError:false});$

where $var element = document.getElementById("moose-equation-87e8539e-0260-4ce4-8240-17841ad5a34a");katex.render("P", element, {displayMode:false,throwOnError:false});$ 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

$var element = document.getElementById("moose-equation-0ce4c5f1-0c05-4cff-85ee-8bec6416f6f5");katex.render("\\sigma=0.05\\left(\\frac{P}{10}\\right)^{0.6-0.1T/T_o}\\ \\%", element, {displayMode:true,throwOnError:false});$

where $var element = document.getElementById("moose-equation-90ac41f5-f6b0-4784-83f7-37af3371b80c");katex.render("T_o=273.16", element, {displayMode:false,throwOnError:false});$ K, $var element = document.getElementById("moose-equation-66a094f2-3d98-415c-8e82-bb18d78b1f81");katex.render("P", element, {displayMode:false,throwOnError:false});$ is in MPa, and $var element = document.getElementById("moose-equation-d22c3d97-2d4b-4584-a503-310447d01989");katex.render("T", element, {displayMode:false,throwOnError:false});$ 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

$var element = document.getElementById("moose-equation-dc4e5b17-2665-45a6-91c2-95d44568a24b");katex.render("\\sigma = 0.0015T\\ \\%", element, {displayMode:true,throwOnError:false});$

where $var element = document.getElementById("moose-equation-4070e6ec-fc9f-44c6-a453-ac2aa97b0d50");katex.render("T", element, {displayMode:false,throwOnError:false});$ is in K. The standard deviation of the thermal conductivity is approximately 1% at 273 K and 6% at 1800K, or

$var element = document.getElementById("moose-equation-c86493d1-c59d-45cb-937e-c5a787107dac");katex.render("\\sigma=0.0035T\\ \\%", element, {displayMode:true,throwOnError:false});$

where $var element = document.getElementById("moose-equation-ccddc847-e20a-4a24-bbfd-4a89819a9fce");katex.render("T", element, {displayMode:false,throwOnError:false});$ is in K. The speed of sound is calculated as Harlow and Amsden (1971)

$var element = document.getElementById("moose-equation-ef3caa70-b371-4f53-b06c-74e506ae1e86");katex.render("c=\\sqrt{\\frac{-\\left\\lbrack\\frac{P}{\\rho^2}-\\frac{C_v}{\\left(\\frac{\\partial\\rho}{\\partial T}\\right)_p}\\right\\rbrack}{C_v\\left(\\frac{\\partial\\rho}{\\partial P}\\right)_T\\left(\\frac{\\partial T}{\\partial \\rho}\\right)_P}}", element, {displayMode:true,throwOnError:false});$

Range of Validity

The HeliumFluidProperties UserObject is valid for:

273.15 K $var element = document.getElementById("moose-equation-ec7c53eb-64d6-4b55-8be4-10b0e69197e7");katex.render("\\le", element, {displayMode:false,throwOnError:false});$ $var element = document.getElementById("moose-equation-5542c024-2a89-437e-adec-0eaa4067132b");katex.render("T", element, {displayMode:false,throwOnError:false});$ $var element = document.getElementById("moose-equation-16cf6e1c-9558-42ea-90e3-d9d1d9260a49");katex.render("\\le", element, {displayMode:false,throwOnError:false});$ 1800 K and
0.1 MPa $var element = document.getElementById("moose-equation-4e714913-412f-45cc-955b-3aec1b969335");katex.render("\\le", element, {displayMode:false,throwOnError:false});$ $var element = document.getElementById("moose-equation-afd686b1-27d5-4593-bd2f-b2379b3c636a");katex.render("p", element, {displayMode:false,throwOnError:false});$ $var element = document.getElementById("moose-equation-83a75f1e-98ef-4cb9-9a26-9c0bc53e2877");katex.render("\\le", element, {displayMode:false,throwOnError:false});$ 10 MPa.

Input Parameters

T_initial_guess400Temperature initial guess for Newton Method variable set conversion
Default:400
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:Temperature initial guess for Newton Method variable set conversion
max_newton_its100Maximum number of Newton iterations for variable set conversions
Default:100
C++ Type:unsigned int
Controllable:No
Description:Maximum number of Newton iterations for variable set conversions
p_initial_guess200000Pressure initial guess for Newton Method variable set conversion
Default:200000
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:Pressure initial guess for Newton Method variable set conversion
tolerance1e-08Tolerance for 2D Newton variable set conversion
Default:1e-08
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:Tolerance for 2D Newton variable set conversion

Variable Set Conversions Newton Solve Parameters

allow_imperfect_jacobiansFalsetrue to allow unimplemented property derivative terms to be set to zero for the AD API
Default:False
C++ Type:bool
Controllable:No
Description:true to allow unimplemented property derivative terms to be set to zero for the AD API
control_tagsAdds user-defined labels for accessing object parameters via control logic.
C++ Type:std::vector<std::string>
Controllable:No
Description:Adds user-defined labels for accessing object parameters via control logic.
enableTrueSet the enabled status of the MooseObject.
Default:True
C++ Type:bool
Controllable:Yes
Description:Set the enabled status of the MooseObject.
fp_typesingle-phase-fpType of the fluid property object
Default:single-phase-fp
C++ Type:FPType
Controllable:No
Description:Type of the fluid property object

Advanced Parameters

prop_getter_suffixAn optional suffix parameter that can be appended to any attempt to retrieve/get material properties. The suffix will be prepended with a '_' character.
C++ Type:MaterialPropertyName
Unit:(no unit assumed)
Controllable:No
Description:An optional suffix parameter that can be appended to any attempt to retrieve/get material properties. The suffix will be prepended with a '_' character.
use_interpolated_stateFalseFor the old and older state use projected material properties interpolated at the quadrature points. To set up projection use the ProjectedStatefulMaterialStorageAction.
Default:False
C++ Type:bool
Controllable:No
Description:For the old and older state use projected material properties interpolated at the quadrature points. To set up projection use the ProjectedStatefulMaterialStorageAction.

Material Property Retrieval 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
References