Suppose heat is lost from the lateral surface of a thin rod

Last updated: 6/11/2023

Suppose heat is lost from the lateral surface of a thin rod of length L into a surrounding medium at temperature zero If the linear law of heat transfer applies then the heat equation takes on the form a u au hu 0 x L t 0 at h a constant Find the temperature u x t if the initial temperature is f x throughout and the ends x 0 and x L are insulated insulated 0 insulated 0 heat transfer from lateral surface of the rod X