Hence equation 8 can be rewritten as


This equation may be applicable to various types of flow as indicated. This arrangement shows how the nonuniformity and unsteadiness of flows introduce extra terms into the governing dynamic equation.

Diffusion Hydrodynamic Model
One Dimensional Diffusion Hydrodynamic Model

The mathematical relationships in a one-dimensional diffusion hydro dynamic (DHM) model are based upon the flow equations of continuity (2) and momentum (11) which can be rewritten (Akan and Yen, 1981) as



9

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