At a particular axial station, velocity and temperature profiles for laminar flow in a parallel plate channel have the form u(y) = 0.75[1 – (y/y_o) ²] T(y) = 5.0 + 95.66(y/y_o) ² – 47.83(y/yo)⁴ with units of m/s and ^oC, respectively.

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

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Yo Fluid