When the expressions (37.7) for are introduced in Eq. (37.17), and relations of the form (38.5) are used, the following expressions evolve for the diffusion fluxes and

	(38.6)

	(38.7)

Note once again that and also is defined analogously to as the scalar product of the surface vector and the distance vector

(38.8)

For the V-momentum equation the convection and diffusion fluxes are obtained as:

	(38.9)

and

	(38.10)

	(38.11)

The source terms in the momentum equations are integrated over the control volume. The integral is evaluated as

(38.12)

The gradients and (refer. Eq. (37.4) ) need to be evaluated at point P ( Fig. 37.1) now.