A mathematical model for turbulent flows involving supersonic, subsonic and recirculating regions

by T. H. Gawain

Publisher: Naval Postgraduate School in Monterey, California

Written in English
Published: Pages: 105 Downloads: 268
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Subjects:

  • Jets,
  • Turbulence,
  • Fluid dynamics,
  • Mathematical models

About the Edition

In connection with the development of a dual chamber rocket, the need arose for a mathematical model capable of simulating the flow field involved. The flow is turbulent and includes supersonic, subsonic and recirculating regions. Such a model is fully described in this report. Turbulence effects are accounted for by an eddy viscosity hypothesis, and by suitable coefficients of mass, energy and entropy transport. It was found that these turbulence effects radically change the elliptically/hyperbolic characteristics of the equations as compared with the classicial case of nonturbulent compressible flow. The equations of momentum, continuity and energy for turbulent flow are shown to be elliptical for both supersonic and subsonic regions. When the second law of thermodynamics is added, the equations assume a parabolic character. This report explains how the field may be subdivied into finite cells and the solution marched downstream cell by cell.

Edition Notes

Statementby T. H. Gawain
ContributionsNaval Postgraduate School (U.S.)
Classifications
LC ClassificationsQC880.4 .G38
The Physical Object
Paginationvii, 105 p. :
Number of Pages105
ID Numbers
Open LibraryOL25463452M
OCLC/WorldCa223797709

A mathematical model for turbulent flows involving supersonic, subsonic and recirculating regions by T. H. Gawain Download PDF EPUB FB2