This term is only present if the medium allows for an internal flow. This will then result in a nonlinear heat equation.Ī second part is a convective term: with a flow velocity for modeling internal heat convection. The thermal conductivity may very well depend on the temperature itself. First and foremost there is a diffusive term: with a thermal conductivity. The specific heat capacity is a material property that specifies the amount of heat energy that is needed to raise the temperature of a substance with unit mass by one degree Kelvin.īeside the time derivative part the PDE is made up of several components. The partial differential equation (PDE) model describes how thermal energy is transported over time in a medium with density and specific heat capacity.
The dependent variable in the heat equation is the temperature, which varies with time and position.
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