Conservation of Energy in Solids
The conservation of energy equation is,
ρsCp,s∂t∂Ts−∂xi∂(ks∂xi∂Ts)−q˙s=0(1)
where Ts is the solid temperature, ρs is the solid density, Cp,s is the solid isobaric specific heat capacity, ks is the solid thermal conductivity, and q˙s is a solid volumetric heat source.