Chapter 5, Problem 5.28P

For flow over a slightly curved isothermal surface, the temperature distribution inside the boundary layer ${\text{δ}}_t$ can be approximated by the polynomial $T\left(y\right)=a+by+c{y}^2+d^3(y<{\text{ δ}}_t)$, where y is the distance normal to the surface. (a) By applying appropriate boundary conditions, evaluate the constants a, b, c, and d.

Fluid

(b) Then obtain a dimensionless relation for the temperature distribution in the boundary layer.