Von Karman Integral Equation

Statement

The Von Kármán Integral Equation relates the wall shear stress to the rate of growth of the momentum thickness and the pressure gradient (expressed via the free stream velocity gradient).

Mathematical Form

$\frac{d\theta}{dx} + (2+H)\frac{\theta}{U_e} \frac{dU_e}{dx} = \frac{C_f}{2}$

Relationships

• Related: Momentum Thickness, Shape Factor, Skin Friction Coefficient