ABSTRACT

The main control equations include heat conduction, fluid flow, stress equivalent equations and the constitutive relations.

Heat conduction is governed by Fourier’s law is q T∇λ (1)

From Fourier’s law, we have the heat conduction equation

∂ ∂

= ∇T t

Tη 2

(2)

where η is thermal diffusivity, and

η λ ρ/c (3)

where λ ρ are thermal conductivity, specific heat and density of media respectively.