Numerical Calculation of Variable Property Flows in Curvilinear Orthogonal Coordinates,

Abstract

In an earlier communication (dealing with flow in curved pipes) a numerical procedure capable of calculating variable property flows in arbitrary curvilinear orthogonal coordinates was reported. Convective and diffusive base vector variation source terms appearing in the differential momentum equation were tabulated but their derivation was not described. In addition, and because of the cases studied, only brief mention was made with regard to the extra source terms arising in variable property flows. The purpose of this document is to provide a concise derivation of the differential momentum equation which is the basis for the numerical procedure described in a previous work and to tabulate general expressions for all the sources which can arise. From a knowledge of the metric tensor in the curvilinear system of interest the forms of these terms are readily derived from the tables for calculation purposes.

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1978
Accession Number
ADA132138

Entities

People

  • Joseph A. C. Humphrey

Organizations

  • Princeton University

Tags

Communities of Interest

  • Space

DTIC Thesaurus Topics

  • Buoyancy
  • Difference Equations
  • Equations
  • Fluid Mechanics
  • Mechanical Properties
  • Mechanics
  • Momentum
  • Notation
  • Physical Properties
  • Square Roots
  • Steady State
  • Tensor Analysis
  • Tensors
  • Universities
  • Viscosity

Readers

  • Computer Science.
  • Linear Algebra
  • Ocean-Atmosphere Mesoscale Modeling, Data Assimilation, and Flux Boundary Layers