Q$4)$ In flow over a surface, velocity and temperature profiles are of the forms

$u(y)=A+By+C{y}^2-D{y}^3$ and

$T(y)=E+Fy+G{y}^2-H{y}^3$

where the coefficients A through $H$ are constants. Obtain expressions for the friction coefficient $C_f$ and the convection coefficient $h$ in terms of $u_{},T_{},$ and appropriate profile coefficients and fluid properties. $($ : dynamic viscosity, $v$ : kinematic viscosity, $$: density, $k$ : thermal conductivity$)$