APPENDIX C

Derivation of Von Karman Integral Equation

We shall now get the von Karman integral equations for a steady, two-dimensional and incompressible flow for which the Euler equation in Cartesian coordinates are

app3-ueq1-1

We integrate this equation from y = 0 to δ, the edge of the boundary layer. This gives

app3-eq1-1

Integration by parts of the second term on the left hand side of Eq. C.1 gives

app3-ueq1-2

Substituting this result in Eq. C.1 and writing dp/dx for

Get Fluid Mechanics and Hydraulic Machines now with the O’Reilly learning platform.

O’Reilly members experience books, live events, courses curated by job role, and more from O’Reilly and nearly 200 top publishers.