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 T_m (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 T_m.1 are identical for both cases, will the exit mean temperature T_m,2 for case A be greater than, equal to, or less than T_m,2 for case B? Briefly explain why.

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4 = constant Flow