1. In class, we derived the heat equation for a one-dimensional rod of constant cross-sectional area, A. If the rod has
Posted: Fri Jul 08, 2022 6:28 am
1. In class, we derived the heat equation for a one-dimensional rod of constant cross-sectional area, A. If the rod has a variable cross-sectional area, say A(x), derive the modified form of the heat equation. Assume no internal heat sources. Hint: Use similar rationale as the class derivation. dA(x) The area A(x + Ax) can be approximated as A(x) + Ax etc. dx