## ABSTRACT

The equations governing the flow of a fluid and the associated heat transfer are based on the conservation principles for mass, momentum, and energy. These equations are first presented for a compressible, viscous, Newtonian fluid, and then particularized for simpler cases. It is assumed that the reader has some background in this field. Thus, a complete derivation of the gov erning equations is not included. The reader is referred to Schlichting (1979) for the derivation. For the general case of three-dimensional motion, the flow field is specified by the velocity vector

V = ui + vj + wk

where u, v, w are the three orthogonal components, by the pressure p, density p, and temperature T, all conceived as functions of the space coor dinates and time t. For the determination of these six quantities, there exist six equations: the continuity equation (conservation of mass), the three equations of motion (conservation of momentum), the energy equation (conservation of energy), and the thermodynamic equation of state p = p(p, T).