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 "primary_boundary" and "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

    Unit:(no unit assumed)

    Controllable:No

    Description:The boundary of the first heat structure to couple

  • primary_heat_structureThe first heat structure to couple

    C++ Type:std::string

    Unit:(no unit assumed)

    Controllable:No

    Description:The first heat structure to couple

  • secondary_boundaryThe boundary of the second heat structure to couple

    C++ Type:BoundaryName

    Unit:(no unit assumed)

    Controllable:No

    Description:The boundary of the second heat structure to couple

  • secondary_heat_structureThe second heat structure to couple

    C++ Type:std::string

    Unit:(no unit assumed)

    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>

    Unit:(no unit assumed)

    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

    Unit:(no unit assumed)

    Controllable:No

    Description:Set the enabled status of the MooseObject.

Advanced Parameters

Formulation

The heat conduction equation is the following: ρcp\pdTt(kT)=q\eqc \rho c_p \pd{T}{t} - \nabla \cdot (k \nabla T) = q''' \eqc where

  • ρ\rho is density,

  • cpc_p is specific heat capacity,

  • kk is thermal conductivity,

  • TT is temperature, and

  • qq''' is a volumetric heat source.

Multiplying by a test function ϕi\phi_i and integrating by parts over the domain Ω\Omega gives \prρcp\pdTt,ϕiΩ+\prkT,ϕiΩkT,ϕinΩ=\prq,ϕiΩ\eqc \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 where Ω\partial\Omega is the boundary of the domain Ω\Omega.

For Neumann boundary conditions on the boundary Γ\Gamma, kTnk \nabla T \cdot \mathbf{n} is replaced with a known incoming heat flux function qbq_b:

kTn=qbxΓ\eqpk \nabla T \cdot \mathbf{n} = q_b \qquad \mathbf{x} \in \Gamma \eqp

For the heat structure kk, the incoming boundary heat flux qbq_b is computed as

qb=H(TjTk)Fk\eqc q_b = \mathcal{H} (T_j - T_k) F_k \eqc where

  • H\mathcal{H} is the heat transfer coefficient,

  • TkT_k is the surface temperature of the heat structure kk,

  • TjT_j is the surface temperature of the coupled heat structure jj, and

  • FkF_k is the area scaling factor of the heat structure kk:

Fk={1AkAjAjAkAk>Aj\eqcF_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

where AkA_k is the area of the heat structure boundary kk.