HSBoundaryRadiation

This component is a heat structure boundary that applies radiative heat transfer boundary conditions.

Usage

The parameter "hs" specifies the name of the heat structure component, and "boundary" is a list of boundary names on the heat structure where the boundary condition is to be applied.

The parameter "T_ambient" gives the ambient temperature $var element = document.getElementById("moose-equation-f7a3baa9-fd2c-4aa9-966b-d7f05cffe792");katex.render("T_\\infty", element, {displayMode:false,throwOnError:false});$ , "emissivity" gives the surface emissivity $var element = document.getElementById("moose-equation-397397a2-6e11-4863-ba84-d0de409da4e4");katex.render("\\epsilon", element, {displayMode:false,throwOnError:false});$ , and "view_factor" gives the view factor $var element = document.getElementById("moose-equation-07d90136-0ec2-4680-88f4-5612ac710893");katex.render("F", element, {displayMode:false,throwOnError:false});$ .

The parameter "scale_pp" specifies the name of a post-processor $var element = document.getElementById("moose-equation-2210a1dc-4071-4fd3-b1b7-d0dac783e3c7");katex.render("f", element, {displayMode:false,throwOnError:false});$ that can scale the boundary conditions.

Input Parameters

T_ambientAmbient temperature functor [K]. A functor is any of the following: a variable, a functor material property, a function, a postprocessor or a number.
C++ Type:MooseFunctorName
Unit:(no unit assumed)
Controllable:No
Description:Ambient temperature functor [K]. A functor is any of the following: a variable, a functor material property, a function, a postprocessor or a number.
boundaryList of boundary names for which this component applies
C++ Type:std::vector<BoundaryName>
Controllable:No
Description:List of boundary names for which this component applies
emissivityEmissivity functor [-]. A functor is any of the following: a variable, a functor material property, a function, a postprocessor or a number.
C++ Type:MooseFunctorName
Unit:(no unit assumed)
Controllable:No
Description:Emissivity functor [-]. A functor is any of the following: a variable, a functor material property, a function, a postprocessor or a number.
hsHeat structure name
C++ Type:std::string
Controllable:No
Description:Heat structure name

Required Parameters

scale1Functor by which to scale the boundary condition. A functor is any of the following: a variable, a functor material property, a function, a postprocessor or a number.
Default:1
C++ Type:MooseFunctorName
Unit:(no unit assumed)
Controllable:No
Description:Functor by which to scale the boundary condition. A functor is any of the following: a variable, a functor material property, a function, a postprocessor or a number.
scale_heat_rate_ppTrueIf true, the scaling function is applied to the heat rate post-processor.
Default:True
C++ Type:bool
Controllable:No
Description:If true, the scaling function is applied to the heat rate post-processor.
view_factor1View factor functor [-]. A functor is any of the following: a variable, a functor material property, a function, a postprocessor or a number.
Default:1
C++ Type:MooseFunctorName
Unit:(no unit assumed)
Controllable:No
Description:View factor functor [-]. A functor is any of the following: a variable, a functor material property, a function, a postprocessor or a number.

Optional 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.
enableTrueSet the enabled status of the MooseObject.
Default:True
C++ Type:bool
Controllable:No
Description:Set the enabled status of the MooseObject.

If this component is used with a cylindrical heat structure, the post-processor name_integral is added, which gives the heat rate found by integrating this heat flux over the boundary.

Advanced Parameters

Formulation

The heat conduction equation is the following: $var element = document.getElementById("moose-equation-addfece6-3521-4b53-a34c-a8151249602c");katex.render(" \\rho c_p \\pd{T}{t} - \\nabla \\cdot (k \\nabla T) = q''' \\eqc", element, {displayMode:true,throwOnError:false});$ where

$var element = document.getElementById("moose-equation-b1665041-29a0-4eee-8690-57155e9aac73");katex.render("\\rho", element, {displayMode:false,throwOnError:false});$ is density,
$var element = document.getElementById("moose-equation-2855c15a-8e6f-4352-b375-39f8b55da73b");katex.render("c_p", element, {displayMode:false,throwOnError:false});$ is specific heat capacity,
$var element = document.getElementById("moose-equation-acda65a1-b7a8-4b09-8624-d4a285e8143c");katex.render("k", element, {displayMode:false,throwOnError:false});$ is thermal conductivity,
$var element = document.getElementById("moose-equation-44cc5316-d05e-4aa4-a140-ac6c7ae9e9fe");katex.render("T", element, {displayMode:false,throwOnError:false});$ is temperature, and
$var element = document.getElementById("moose-equation-79a59ce9-8298-4da2-a6f4-69b565aa1f66");katex.render("q'''", element, {displayMode:false,throwOnError:false});$ is a volumetric heat source.

Multiplying by a test function $var element = document.getElementById("moose-equation-b17fff10-ee11-463a-ab5c-1419976ef8d6");katex.render("\\phi_i", element, {displayMode:false,throwOnError:false});$ and integrating by parts over the domain $var element = document.getElementById("moose-equation-f92efea3-268e-4669-b5d3-99cd62945f17");katex.render("\\Omega", element, {displayMode:false,throwOnError:false});$ gives $var element = document.getElementById("moose-equation-57778b58-2703-4079-9bfb-2540da48161e");katex.render(" \\pr{\\rho c_p \\pd{T}{t}, \\phi_i}_\\Omega + \\pr{k \\nabla T, \\nabla\\phi_i}_\\Omega - \\left\\langle k \\nabla T, \\phi_i\\mathbf{n}\\right\\rangle_{\\partial\\Omega} = \\pr{q''', \\phi_i}_\\Omega \\eqc", element, {displayMode:true,throwOnError:false});$ where $var element = document.getElementById("moose-equation-91db4408-a6e2-428e-9bd2-b22d2fe9f3de");katex.render("\\partial\\Omega", element, {displayMode:false,throwOnError:false});$ is the boundary of the domain $var element = document.getElementById("moose-equation-c046ebc2-5801-4d08-ba23-6c594380a958");katex.render("\\Omega", element, {displayMode:false,throwOnError:false});$ .

For Neumann boundary conditions on the boundary $var element = document.getElementById("moose-equation-0b97bd4d-b9de-4210-b235-bcde39ea65e2");katex.render("\\Gamma", element, {displayMode:false,throwOnError:false});$ , $var element = document.getElementById("moose-equation-32d4507c-80f7-4dd4-92cd-b7b4dad89a9e");katex.render("k \\nabla T \\cdot \\mathbf{n}", element, {displayMode:false,throwOnError:false});$ is replaced with a known incoming heat flux function $var element = document.getElementById("moose-equation-7c66fa68-6d8a-4528-b066-45a14b2ca3ac");katex.render("q_b", element, {displayMode:false,throwOnError:false});$ :

var element = document.getElementById("moose-equation-edd6a9f7-2a82-409d-b1e7-723e6f9ece3c");katex.render("k \\nabla T \\cdot \\mathbf{n} = q_b \\qquad \\mathbf{x} \\in \\Gamma \\eqp", element, {displayMode:true,throwOnError:false});

For radiation boundary conditions, the incoming boundary heat flux $var element = document.getElementById("moose-equation-2dd2f420-7bff-4f63-8103-105363b06530");katex.render("q_b", element, {displayMode:false,throwOnError:false});$ is computed as

$var element = document.getElementById("moose-equation-f52c713e-b02c-4650-8008-567ad1a00dff");katex.render(" q_b = f \\sigma \\epsilon F (T^4_\\infty - T^4) \\eqc", element, {displayMode:true,throwOnError:false});$ where

$var element = document.getElementById("moose-equation-3fff17ef-0fad-40d1-9c24-bca403bca116");katex.render("\\sigma", element, {displayMode:false,throwOnError:false});$ is the Stefan-Boltzmann constant,
$var element = document.getElementById("moose-equation-446f1e9f-94ac-4689-a972-b15502d0dcab");katex.render("\\epsilon", element, {displayMode:false,throwOnError:false});$ is the emissivity of the surface,
$var element = document.getElementById("moose-equation-599b99a9-4447-44d1-85e2-121e3d29a43f");katex.render("F", element, {displayMode:false,throwOnError:false});$ is the view factor function,
$var element = document.getElementById("moose-equation-320cb252-4553-4033-b6c4-c6243e7e6f4b");katex.render("T", element, {displayMode:false,throwOnError:false});$ is the temperature of the surface,
$var element = document.getElementById("moose-equation-15c74efb-ea46-4064-a2b7-8ceb0701779f");katex.render("T_\\infty", element, {displayMode:false,throwOnError:false});$ is the ambient temperature, and
$var element = document.getElementById("moose-equation-3de8ebe1-7c0f-4294-9e96-8fa645eba22b");katex.render("f", element, {displayMode:false,throwOnError:false});$ is an optional scaling factor.

Usage
Input Parameters
Formulation