Page 462 - Introduction to Continuum Mechanics

446 Integral Formulation of General Principles

i.e.,

where u denotes the uniform horizontal velocity of the upstream flow and the uniform
component of velocity at the trailing edge, vj, and V2 are the velocity components of the fluid
particles on the surface S c and <5 is the thickness of the boundary layer. Thus,

Fig. 7.5

From the principle of conservation of mass, we have

i.e.,

Thus,