Chapter 8, Problem 8.16P

In a particular application involving fluid flow at a rate m through a circular tube of length L and diameter D, the surface heat flux is known to have a sinusoidal variation with r, which is of the form $q_s^n\left(x\right)=q_{s,m}^n\sin \left(\pi x/L\right)$ .The maximum flux, $q_{s,m}^n$ , is a known constant, and thefluid enters the tube at a known temperature, $T_{m,i}$ . Assuming the convection coefficient to be constant, how do the mean temperature of the fluid and the surface temperature vary with x?