Thread: Heat Conduction View Single Post
 P: 8 Assuming that the heat lost is neglegible and the aluminum block has reached steady state, would the following be the correct derivation of the formula (1D heat equation)? $$\frac{\partial^2 T}{\partial z^2}=0\iff T(z)=az+b .$$ By Fourier's Law, $$-\kappa\frac{\partial T}{\partial z}=h(T-S),$$ where S is the room temperature, and $$\kappa$$ and h are constants. Letting $$T(0)=T_0$$, then the temperature at any point may be obtained. Is the Fourier's Law correctly written? Thanks in advance.