Introduction: Fourier Equation and Conduction Equation

Fourier Equation:

            q′′=-k∇T

Conduction Equation:

            ρcP ∂T/∂t=∇∙(k∇T)+qgen

Boundary Conditions-

Constant Surface Temperature- T(0,t) = Ts    (Dirichlet Condition)

Constant applied flux- -k d/dx T(0,t) = q''    (Neumann Condition)

Heat Equation:

            ∂T/∂x=α (∂2T)/(∂x2)

            α=k/(ρCP)    (thermal diffusivity)

Video on Fourier's Law