HeatTransfer.jl extends JuliaFEM functionalities to solve heat transfer problems.


The heat equation is a parabolic partial differential equation that describes the distribution of heat (or variation in temperature) in a given region over time. The state equation, given by the first law of thermodynamics (i.e. conservation of energy), is written in the following form (assuming no mass transfer or radiation). This form is more general and particularly useful to recognize which property (e.g. $c_{p}$ or $\rho$) influences which term. State equations is

\[\rho c_{p}\frac{\partial T}{\partial t}-\nabla\cdot\left(k\nabla T\right)=\dot{q}_{V},\]

where $\dot{q}_{V}$ is the volumetric heat source.


PlaneHeat. Thermal conductivity $k$ can be set using field thermal conductivity. Volumetric heat source $\dot{q}_{V}$ can be set using field heat source. Heat flux for boundary can be set using field heat flux.