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

(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

(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.