A mathematical model for turbulent flows involving supersonic, subsonic and recirculating regions
By: by T. H. Gawain
Contributors: Naval Postgraduate School (U.S.)
Publisher: Naval Postgraduate School
Published: 1978
Place of publication: Monterey, California
Language: eng
Number of pages: 105
Subjects: Jets; Turbulence; Fluid dynamics; Mathematical models
Description: 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.
Notes: Title from cover.

"Prepared for: Naval Weapons Center, China Lake, CA 93555."

"NPS67Gn78003"--Cover.

"July 1978"--Cover.

Includes bibliographical references (p. 96-101).

"Approved for public release; distribution is unlimited"--Cover.

Technical report; 1978.

ck/ 6/29/09.