Accession Number:

ADA171813

Title:

Conservation Equations for a Nonsteady Flow of a Compressible Viscous Single-Phase Fluid in Various Coordinate Systems

Descriptive Note:

Technical rept. 1 Jan-31 Dec 1984

Corporate Author:

R AND D ASSOCIATES MARINA DEL REY CA

Personal Author(s):

Report Date:

1984-12-31

Pagination or Media Count:

44.0

Abstract:

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.

Subject Categories:

  • Fluid Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE