HeatStructure2DRadiationCouplerRZBC

Applies BC for HeatStructure2DRadiationCouplerRZ

The heat flux contribution to the residual $var element = document.getElementById("moose-equation-ef185f5d-25ee-44c1-9654-4294998446d0");katex.render("R_i", element, {displayMode:false,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ for the weak form of the energy equation is computed as:

$var element = document.getElementById("moose-equation-d4042892-1439-4b13-9134-478f660a9b76");katex.render("R_i = (\\psi_i, _sigma * \\dfrac{T^4 - T_{coupled}^4}{R} C \\quad \\forall \\psi_i,", element, {displayMode:true,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$

where $var element = document.getElementById("moose-equation-7dedb633-fc98-4a81-ab91-a232dc896d18");katex.render("\\psi_i", element, {displayMode:false,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ are the test functions, $var element = document.getElementById("moose-equation-29921402-3fb3-4ae4-ba65-96f060d8fbf6");katex.render("\\sigma", element, {displayMode:false,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ is the Stefan-Boltzmann constant, $var element = document.getElementById("moose-equation-6b350f46-a924-4b6c-bcfb-ae9c73f634e2");katex.render("T", element, {displayMode:false,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ is one heat structure temperature variable, $var element = document.getElementById("moose-equation-002b8d70-7eb3-4e29-9748-044e02f2bebb");katex.render("T_{coupled}", element, {displayMode:false,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ the other heat structure temperature variable, $var element = document.getElementById("moose-equation-3e301cfe-8280-48f4-9041-44a106d64f2a");katex.render("R", element, {displayMode:false,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ the radiation resistance, and $var element = document.getElementById("moose-equation-e78cc618-d9f4-4cd3-978e-8370773fad16");katex.render("C", element, {displayMode:false,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ the circumference of the heat structure boundary considered.

The radiation resistance is computed as:

var element = document.getElementById("moose-equation-3e863dea-e76c-406d-b67e-8bf70753cc16");katex.render("R = \\dfrac{1.0 - \\epsilon}{\\epsilon} + \\dfrac{1.0}{V} + \\dfrac{1.0 - \\epsilon_{coupled}}{\\epsilon_{coupled}} \\dfrac{A}{A_{coupled}}", element, {displayMode:true,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});

where $var element = document.getElementById("moose-equation-c4e239e8-3224-43e4-beb1-d8ab19176138");katex.render("\\epsilon", element, {displayMode:false,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ is the emissivity of one heat structure boundary, $var element = document.getElementById("moose-equation-9c220b58-1c7c-435e-82ac-1908fd2f72f2");katex.render("\\epsilon_{coupled}", element, {displayMode:false,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ the surface emissivity of the other heat structure's boundary, $var element = document.getElementById("moose-equation-409e384f-a97f-444b-b63e-7fd798f46aec");katex.render("V", element, {displayMode:false,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ the view factor between the two boundaries, $var element = document.getElementById("moose-equation-2bffbabb-f90d-4557-9ba4-02985f65c847");katex.render("A", element, {displayMode:false,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ the surface area, and $var element = document.getElementById("moose-equation-e5c169bb-93f4-4add-b785-a0fd008a192a");katex.render("A_{coupled}", element, {displayMode:false,throwOnError:false,macros:{"\\eqc":"\\,,","\\eqp":"\\,.","\\pd":"\\frac{\\partial #1}{\\partial #2}","\\pr":"\\left(#1\\right)","\\ddt":"\\frac{d #1}{d t}"}});$ the surface area of the coupled heat structure's boundary.

warning

This boundary condition is meant to be used in XY coordinates that are interpreted as general cylindrical coordinates. With the recent development of general RZ coordinates, this object along with all THM's "RZ"-specific objects will soon be deprecated in favor of more general RZ-coordinate objects. Stay tuned!

note

In THM, most boundary conditions are added automatically by components. This boundary condition is created by the HeatStructure2DRadiationCouplerRZ to couple boundaries of two 2D cylindrical heat structures via radiation. The boundary condition is added once for each cylindrical heat structure.

Input Parameters

_mesh_alignmentMesh alignment object
C++ Type:MeshAlignment*
Controllable:No
Description:Mesh alignment object
areaArea of this boundary
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:Area of this boundary
axis_dirThe direction of the axis of RZ symmetry.
C++ Type:libMesh::VectorValue<double>
Unit:(no unit assumed)
Controllable:No
Description:The direction of the axis of RZ symmetry.
axis_pointA point on the axis of RZ symmetry.
C++ Type:libMesh::Point
Controllable:No
Description:A point on the axis of RZ symmetry.
boundaryThe list of boundary IDs from the mesh where this object applies
C++ Type:std::vector<BoundaryName>
Controllable:No
Description:The list of boundary IDs from the mesh where this object applies
coupled_areaArea of the coupled boundary
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:Area of the coupled boundary
coupled_emissivityEmissivity function of the coupled boundary
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:Emissivity function of the coupled boundary
coupled_variableThe variable on the coupled heat structure boundary
C++ Type:std::string
Controllable:No
Description:The variable on the coupled heat structure boundary
emissivityEmissivity function of this boundary
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:Emissivity function of this boundary
variableThe name of the variable that this residual object operates on
C++ Type:NonlinearVariableName
Unit:(no unit assumed)
Controllable:No
Description:The name of the variable that this residual object operates on
view_factorView factor of this boundary
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:View factor of this boundary

Required Parameters

displacementsThe displacements
C++ Type:std::vector<VariableName>
Unit:(no unit assumed)
Controllable:No
Description:The displacements
matrix_onlyFalseWhether this object is only doing assembly to matrices (no vectors)
Default:False
C++ Type:bool
Controllable:No
Description:Whether this object is only doing assembly to matrices (no vectors)
offset0Radial offset of the axis of RZ symmetry.
Default:0
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:Radial offset of the axis of RZ symmetry.
stefan_boltzmann_constant5.67037e-08Stefan Boltzmann constant [W/(m^2-K^4)]. This constant is provided as a parameter to allow different precisions.
Default:5.67037e-08
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:Stefan Boltzmann constant [W/(m^2-K^4)]. This constant is provided as a parameter to allow different precisions.

Optional Parameters

absolute_value_vector_tagsThe tags for the vectors this residual object should fill with the absolute value of the residual contribution
C++ Type:std::vector<TagName>
Controllable:No
Description:The tags for the vectors this residual object should fill with the absolute value of the residual contribution
extra_matrix_tagsThe extra tags for the matrices this Kernel should fill
C++ Type:std::vector<TagName>
Controllable:No
Description:The extra tags for the matrices this Kernel should fill
extra_vector_tagsThe extra tags for the vectors this Kernel should fill
C++ Type:std::vector<TagName>
Controllable:No
Description:The extra tags for the vectors this Kernel should fill
matrix_tagssystemThe tag for the matrices this Kernel should fill
Default:system
C++ Type:MultiMooseEnum
Options:nontime, system
Controllable:No
Description:The tag for the matrices this Kernel should fill
vector_tagsnontimeThe tag for the vectors this Kernel should fill
Default:nontime
C++ Type:MultiMooseEnum
Options:nontime, time
Controllable:No
Description:The tag for the vectors this Kernel should fill

Contribution To Tagged Field Data Parameters

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.
diag_save_inThe name of auxiliary variables to save this BC's diagonal jacobian contributions to. Everything about that variable must match everything about this variable (the type, what blocks it's on, etc.)
C++ Type:std::vector<AuxVariableName>
Unit:(no unit assumed)
Controllable:No
Description:The name of auxiliary variables to save this BC's diagonal jacobian contributions to. Everything about that variable must match everything about this variable (the type, what blocks it's on, etc.)
enableTrueSet the enabled status of the MooseObject.
Default:True
C++ Type:bool
Controllable:Yes
Description:Set the enabled status of the MooseObject.
implicitTrueDetermines whether this object is calculated using an implicit or explicit form
Default:True
C++ Type:bool
Controllable:No
Description:Determines whether this object is calculated using an implicit or explicit form
save_inThe name of auxiliary variables to save this BC's residual contributions to. Everything about that variable must match everything about this variable (the type, what blocks it's on, etc.)
C++ Type:std::vector<AuxVariableName>
Unit:(no unit assumed)
Controllable:No
Description:The name of auxiliary variables to save this BC's residual contributions to. Everything about that variable must match everything about this variable (the type, what blocks it's on, etc.)
seed0The seed for the master random number generator
Default:0
C++ Type:unsigned int
Controllable:No
Description:The seed for the master random number generator
skip_execution_outside_variable_domainFalseWhether to skip execution of this boundary condition when the variable it applies to is not defined on the boundary. This can facilitate setups with moving variable domains and fixed boundaries. Note that the FEProblem boundary-restricted integrity checks will also need to be turned off if using this option
Default:False
C++ Type:bool
Controllable:No
Description:Whether to skip execution of this boundary condition when the variable it applies to is not defined on the boundary. This can facilitate setups with moving variable domains and fixed boundaries. Note that the FEProblem boundary-restricted integrity checks will also need to be turned off if using this option
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
Controllable:No
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

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

Input Parameters