Formulations in 3D Static Heat transfer
3D Static Heat transfer problem is described by the Poisson equation for the temperature T:
Δ(λT) = q (1)
Here the thermal conductivity λ, and volume power of the heat source q are piece-wise constants for any of bodies comprising the model.
In 3D Static Heat transfer analysis QuickField allows to define:
- Volume power of the heat source within the
bodies;
- Thermal flux through the
faces;
- Convective heat transfer through the
faces;
- Linear heat flux density through the edges;
- Singular heat sources in the model vertices.
In all these cases the heat flux density and volume power of the heat source may be defined by formula as a function of coordinates: q = q(x,y,z).
Boundary conditions in the heat transfer problems include:
- Dirichlet condition
specifies a known value of temperature T0 on faces,
edges or vertices of the model.
- Neumann condition specifies a known value of normal component of the thermal flux density vector Fn= q on external faces and edges.
- Convection boundary condition Fn= α(T-T0) is used for defining the thermal transfer from the surface with convection coefficient α into the liquid of gaseous media with temperature T0.
Non-zero Dirichlet and Neumann boundary conditions can be specified as a function of coordinates.