Computation of Three-Dimensional Flows in Ducts of Varying Cross Sections.

Abstract

A calculation procedure is developed for the three-dimensional flow in ducts of varying cross section. The procedure is of the fully parabolic variety; i.e., the solution for the whole duct is obtained by a marching scheme that proceeds from the upstream end to the downstream region solving the flow over one cross section at each marching step. The procedure for each cross section is based on the finite element method of Baliga and Patankar. The report describes a major improvement incorporated in the method and some examples of the use of the method. The adaptation of the method for a marching procedure for duct flows is also described. Among the examples presented as test problems are the developing flows: in a square duct, over a rod bundle, in a square diffuser, and in an elliptic duct of varying cross-sectional shape. All numerical solutions are shown to be in satisfactory agreement with exact solutions and/or other available solutions and experimental data. (Author)

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1983
Accession Number
ADA130194

Entities

People

  • Suhas V. Patankar

Organizations

  • University of Minnesota

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Boundary Layer
  • Computational Fluid Dynamics
  • Computational Science
  • Coordinate Systems
  • Differential Equations
  • Diffusion
  • Energy Systems
  • Engineering
  • Fluid Flow
  • Fluid Mechanics
  • Heat Transfer
  • Mechanical Engineering
  • Pressure Gradients
  • Reynolds Number
  • Stratified Fluids
  • Three Dimensional
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Combustion and Flow Dynamics.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Fluid Dynamics.