An experimental nuclear core simulation device consists of a long thin?walled metallic tube with diameter D and length L. It is electrically heated to produce a sinusoidal surface heat flux distribution: ??" = sin(pi x/L)
?
where x is the distance from the tube inlet. Fluid flows through the tube with a
flowrate of ?? and an inlet temperature of Tm, i and can be considered turbulent and fully developed over
its entire length. Using the supplied variables, develop expressions for:
(a) the total rate of heat transfer (??) from the tube to the fluid
(b) the fluid outlet temperature Tm, a
(c) the axial distribution of the wall temperature, ??s(X)
(d) the magnitude and x?location of the highest wall temperature.