The velocity and temperature profiles for boundary layer flow over a flat plate are given by:
u(x,y) = 1.5*(u_inf)*[y/delta(x)] - 0.5*(u_inf)*[y/delta(x)]^3 and [T(x,y)-(T_w)]/[(T_inf)-(T_w)] = 1.5*[y/delta_t(x)]-0.5*[y/delta_t(x)]^3

Develop expressions for both average friction factor and average heat transfer coefficient over a distance x=L from the leading edge of the plate.

Question

The velocity and temperature profiles for boundary layer flow over a flat plate are given by:
u(x,y) = 1.5*(u_inf)*[y/delta(x)] - 0.5*(u_inf)*[y/delta(x)]^3     and   [T(x,y)-(T_w)]/[(T_inf)-(T_w)] = 1.5*[y/delta_t(x)]-0.5*[y/delta_t(x)]^3

Develop expressions for both average friction factor and average heat transfer coefficient over a distance x=L from the leading edge of the plate.