The viscous boundary layer velocity profile shown in Fig. 2.15 can be approximated by a cubic equation,

\[u(y)=a+b\left(\frac{y}{\delta}\right)+c\left(\frac{y}{\delta}\right)^{3}\]

The boundary condition is \(u=U\) (the free stream velocity) at the boundary edge \(\delta\) (where the viscous friction becomes zero). Find the values of  (a, b), and (c).

Figure 2.15

Transcribed Image Text:

Inviscid flow Viscous boundary layer