Conservation Equations for a Nonsteady Flow of a Compressible Viscous Single-Phase Fluid in Various Coordinate Systems
Technical rept. 1 Jan-31 Dec 1984
R AND D ASSOCIATES MARINA DEL REY CA
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Based on a generalization of the Reynolds transport theorem the mass, momentum and energy conservation equations for a nonsteady flow of a compressible viscous single-phase fluid expressed in vector and dyadic notations are first formulated in integral form in terms of moving volume and surface elements, next converted into differential form and then transformed in terms of orthogonal curvilinear coordinates. Specialized equations are obtained for three dimensional flows in Cartesian, cylindrical and spherical coordinates. These equations can then be reduced to corresponding equations for one and two dimensional flows in various coordinates. Equations for the vorticity, entropy and enthalpy and Bernoulli equation are also summarized.
- Fluid Mechanics