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

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.

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Document Details

Document Type
Technical Report
Publication Date
Dec 31, 1984
Accession Number
ADA171813

Entities

People

  • Allen L. Kuhl
  • Gordon C. Yeh

Tags

Communities of Interest

  • Energy and Power Technologies
  • Weapons Technologies

DTIC Thesaurus Topics

  • Air Force
  • Boundary Layer
  • Computational Fluid Dynamics
  • Coordinate Systems
  • Energy Conservation
  • Enthalpy
  • Equations
  • Flow Fields
  • Fluid Dynamics
  • Fluid Flow
  • Fluid Mechanics
  • Gas Dynamics
  • Hydrodynamics
  • Integrals
  • Mechanics
  • Three Dimensional
  • Viscous Flow

Fields of Study

  • Mathematics

Readers

  • Combustion and Flow Dynamics.
  • Computational Fluid Dynamics (CFD)
  • Graph Algorithms and Convex Optimization.