Starting from the general form of the heat equation in cylindrical coordinates for a system , write an equation for the steady state condition with 2-D heat flow in the radial direction and axial direction-The pipes are being joined by a polymeric material that undergoes an exothermic curing process when heat is applied to its outer surface. Assume the thermal conductivity is linearly dependent on temperature.
A.) What boundary condition would you expect on the surface and inside the pipe?