Simplified form of the momentum integral equation

For the flat plate dp/dx = 0 and Ue = Ux = const, so that dUe/dx = 0. Accordingly, the momentum integral equation (7.59) reduces to the simple form

Simplified form of the momentum integral equation(7.66)

Now the shape factor / = 6/6 is simply a numerical quantity which depends only on the shape of the velocity profile.

So Eqn (7.66) may then be expressed in the alternative form

Simplified form of the momentum integral equation(7.67)

where / has been assumed to be independent of x. Equations (7.66) and (7.67) are forms of the simple momentum integral equation.