Chapter 8, Problem 8.8P

At a particular axial station, velocity and temperature profiles for laminar flow in a parallel plate channel have the form

   $\begin{array}{l}u(y)=0.75\left[1-{\left(y/y_0\right)}^2\right]\\ T(y)=5.0+95.66{\left(y/y_0\right)}^2-47.83{\left(y/y_0\right)}^4\end{array}$

with units of m/s and °C. respectively.

Determine corresponding values of the mean velocity, $u_m$ , and mean (or hulk) temperature, $T_m$ . Plot the velocity and temperature distributions. Do your values of $u_m$ and $T_m$ appear reasonable?