For the linear approximation of Prob. 10–99, use the definition of local skin friction coefficient and the Kármán integral equation to generate an expression for δ/x. Compare your result to the Blasius expression for δ/x.

Data from problem 99

The streamwise velocity component of a steady, incompressible, laminar, flat plate boundary layer of boundary layer thickness δ is approximated by the simple linear expression, u = Uy/δ for y < δ, and u = U for y > δ (Fig. P10–99). Generate expressions for displacement thickness and momentum thickness as functions of d, based on this linear approximation. Compare the approximate values of δ*/δ and θ/δ to the values of δ*/δ and u/d obtained from the Blasius solution.

FIGURE P10–99

Transcribed Image Text:

V ·x 8(x) U(x) = V