Chapter 6, Problem 6.3P

In a particular application involving airflow over a heated surface, the boundary layer temperature distribution may be approximated as
$\frac{T-T_s}{T_{\infty }-T_s}=1-\exp \left(-\mathrm{Pr}\frac{u_{\infty }y}{v}\right)$
where y is the distance normal to the surface and the Prandtl number, ${\mathrm{P}}_r=c_p\mu /k=0.7,$ is a dimensionless fluid property. If $T_{\infty }=400\text{K,}{T}_s=300\text{K,}$ and $u_{\infty }/v=5000{\text{m}}^{-1},$ what is the surface heat flux?