Solve the following problem:
Q: Consider flow in a circular tube within the test section length (between 1 and 2) a constant heat flux q"s is maintained.
(a) For the following two cases, sketch the surface temperature Ts(x) and the fluid mean temperature Tm (x) as a function of distance along the test section x. In case A, flow is hydro-dynamically and thermally fully developed. In case B, flow is not developed.
(b) Assuming that the surface flux q"s and the inlet mean temperature Tm.1 are identical for both cases, will the exit mean temperature Tm,2 for case A be greater than, equal to, or less than Tm,2 for case B? Briefly explain why.
