A Mathematical Model for Turbulent Flows Involving Supersonic, Subsonic and Recirculating Regions.
Final rept. 1977-1978,
NAVAL POSTGRADUATE SCHOOL MONTEREY CALIF
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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 ellipticallyhyperbolic 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. Author
- Numerical Mathematics
- Fluid Mechanics
- Rocket Engines