HeatStructure2DCoupler

This component couples two 2D heat structures via a heat transfer coefficient.

Usage

This component has the following restrictions:

The coupled heat structures must be 2D heat structures.
The coupled heat structures must be of the same type.
Only one boundary name may be provided in each of the /Components/HeatStructure2DCoupler/primary_boundary and /Components/HeatStructure2DCoupler/secondary_boundary parameters.
The meshes along the coupled boundaries must be aligned. Each element on a boundary is paired with the nearest element on the coupled boundary. The alignment check requires that each element on a boundary has exactly one element from the coupled boundary paired to it.

Input Parameters

heat_transfer_coefficientHeat transfer coefficient function [W/(m^2-K)]
C++ Type:FunctionName
Unit:(no unit assumed)
Controllable:No
Description:Heat transfer coefficient function [W/(m^2-K)]
primary_boundaryThe boundary of the first heat structure to couple
C++ Type:BoundaryName
Controllable:No
Description:The boundary of the first heat structure to couple
primary_heat_structureThe first heat structure to couple
C++ Type:std::string
Controllable:No
Description:The first heat structure to couple
secondary_boundaryThe boundary of the second heat structure to couple
C++ Type:BoundaryName
Controllable:No
Description:The boundary of the second heat structure to couple
secondary_heat_structureThe second heat structure to couple
C++ Type:std::string
Controllable:No
Description:The second heat structure to couple

Required 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.

Advanced Parameters

Formulation

The heat conduction equation is the following: $var element = document.getElementById("moose-equation-0973a48a-fc46-4c65-81db-8e690c08a1cc");katex.render(" \\rho c_p \\pd{T}{t} - \\nabla \\cdot (k \\nabla T) = q''' \\eqc", element, {displayMode:true,throwOnError:false});$ where

$var element = document.getElementById("moose-equation-6a5dbe60-4cf2-4654-8bac-8be0a2d3ef0c");katex.render("\\rho", element, {displayMode:false,throwOnError:false});$ is density,
$var element = document.getElementById("moose-equation-29506d7d-ddfd-4c6f-9f6a-bf5fcc64818a");katex.render("c_p", element, {displayMode:false,throwOnError:false});$ is specific heat capacity,
$var element = document.getElementById("moose-equation-18983eea-8a45-40cc-b0e6-11707e6dcdc3");katex.render("k", element, {displayMode:false,throwOnError:false});$ is thermal conductivity,
$var element = document.getElementById("moose-equation-50e3ec43-6662-4edf-b6b0-737e02c8c984");katex.render("T", element, {displayMode:false,throwOnError:false});$ is temperature, and
$var element = document.getElementById("moose-equation-09fa6af4-00c5-4b80-a221-858c1853feb1");katex.render("q'''", element, {displayMode:false,throwOnError:false});$ is a volumetric heat source.

Multiplying by a test function $var element = document.getElementById("moose-equation-b928860b-ad19-4c25-9348-ba403af46688");katex.render("\\phi_i", element, {displayMode:false,throwOnError:false});$ and integrating by parts over the domain $var element = document.getElementById("moose-equation-1e059935-8eaf-4164-ad27-7f268eb03683");katex.render("\\Omega", element, {displayMode:false,throwOnError:false});$ gives $var element = document.getElementById("moose-equation-75957017-d1ef-47ed-82aa-ae32b2c0d66f");katex.render(" \\pr{\\rho c_p \\pd{T}{t}, \\phi_i}_\\Omega + \\pr{k \\nabla T, \\nabla\\phi_i}_\\Omega - \\left\\langle k \\nabla T, \\phi_i\\mathbf{n}\\right\\rangle_{\\partial\\Omega} = \\pr{q''', \\phi_i}_\\Omega \\eqc", element, {displayMode:true,throwOnError:false});$ where $var element = document.getElementById("moose-equation-6012faaa-c748-4243-8192-b627f803d27d");katex.render("\\partial\\Omega", element, {displayMode:false,throwOnError:false});$ is the boundary of the domain $var element = document.getElementById("moose-equation-cfcd2e15-b228-4f23-a1bf-d94ba108788f");katex.render("\\Omega", element, {displayMode:false,throwOnError:false});$ .

For Neumann boundary conditions on the boundary $var element = document.getElementById("moose-equation-1483f491-5698-4ad2-b124-1ba1e6ab465b");katex.render("\\Gamma", element, {displayMode:false,throwOnError:false});$ , $var element = document.getElementById("moose-equation-65752ec5-80f9-49bb-8546-9c29590a8f11");katex.render("k \\nabla T \\cdot \\mathbf{n}", element, {displayMode:false,throwOnError:false});$ is replaced with a known incoming heat flux function $var element = document.getElementById("moose-equation-8285fd1c-48f8-4405-b8db-bad47c2b79e4");katex.render("q_b", element, {displayMode:false,throwOnError:false});$ :

var element = document.getElementById("moose-equation-82cd0b63-b7ad-4f37-9747-02a7b69211ce");katex.render("k \\nabla T \\cdot \\mathbf{n} = q_b \\qquad \\mathbf{x} \\in \\Gamma \\eqp", element, {displayMode:true,throwOnError:false});

For the heat structure $var element = document.getElementById("moose-equation-6f82b9f0-a731-4e66-963c-d2c07ad80d3b");katex.render("k", element, {displayMode:false,throwOnError:false});$ , the incoming boundary heat flux $var element = document.getElementById("moose-equation-df44083c-6aa4-4942-9db4-b030b4964aa2");katex.render("q_b", element, {displayMode:false,throwOnError:false});$ is computed as

$var element = document.getElementById("moose-equation-bbb723c6-9b67-456f-b47a-0a341d4c1ac6");katex.render(" q_b = \\mathcal{H} (T_j - T_k) F_k \\eqc", element, {displayMode:true,throwOnError:false});$ where

$var element = document.getElementById("moose-equation-e0e2557f-868c-4ee0-b938-2ea0f14ce30b");katex.render("\\mathcal{H}", element, {displayMode:false,throwOnError:false});$ is the heat transfer coefficient,
$var element = document.getElementById("moose-equation-3a1b7563-2561-4a06-9229-999676e90c2a");katex.render("T_k", element, {displayMode:false,throwOnError:false});$ is the surface temperature of the heat structure $var element = document.getElementById("moose-equation-dc8b1758-08c1-4bdc-b119-fa5cb3599713");katex.render("k", element, {displayMode:false,throwOnError:false});$ ,
$var element = document.getElementById("moose-equation-2093d690-6858-4cc3-ac57-3c0eb28a0f5d");katex.render("T_j", element, {displayMode:false,throwOnError:false});$ is the surface temperature of the coupled heat structure $var element = document.getElementById("moose-equation-b70b2798-8f5b-4104-839d-795493c8651e");katex.render("j", element, {displayMode:false,throwOnError:false});$ , and
$var element = document.getElementById("moose-equation-63c25200-12dd-438b-98b8-3e665db93a3d");katex.render("F_k", element, {displayMode:false,throwOnError:false});$ is the area scaling factor of the heat structure $var element = document.getElementById("moose-equation-f1eff9d1-450e-4c1e-a2b4-8a829b0ae635");katex.render("k", element, {displayMode:false,throwOnError:false});$ :

var element = document.getElementById("moose-equation-e7be9a3b-58b3-420e-a69e-0ba1edb6143c");katex.render("F_k = \\left\\{\\begin{array}{l l} 1 & A_k \\leq A_j\\\\ \\frac{A_j}{A_k} & A_k > A_j\\\\ \\end{array}\\right. \\eqc", element, {displayMode:true,throwOnError:false});

where $var element = document.getElementById("moose-equation-44545e1d-32e9-4995-9616-6feb8a158810");katex.render("A_k", element, {displayMode:false,throwOnError:false});$ is the area of the heat structure boundary $var element = document.getElementById("moose-equation-910b377b-9f6a-471a-b7de-56a377f44442");katex.render("k", element, {displayMode:false,throwOnError:false});$ .

Usage
Input Parameters
Formulation