A mathematical model for turbulent flows involving supersonic, subsonic and recirculating regions
Gawain, T. H.
MetadataShow full item record
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
NPS Report NumberNPS67Gn78003
Showing items related by title, author, creator and subject.
An analytical study of incompressible free turbulent mixing in adverse and favorable pressure gradients Hokenson, Gustave John (Monterey, California. Naval Postgraduate School, 1973-02); NPS-57HW73021AThe equations governing free turbulent mixing are derived from the Navier-Stokes equations and transformed into a mathematical plane which is explicitly independent of the eddy viscosity model. The coupled momentum and ...
Application of a Flux Vector Splitting Methodology Towards the Solution of Unsteady Transonic Flows, With Future Emphasis On the Blade Flutter Problem Fransson, Torsten H. (Monterey, California. Naval Postgraduate School, 1987-07); NPS-67-87-006The study presents a method, based on the flux vector splitting approach, to the problem of unsteady two-dimensional inviscid transonic flows, with emphasis on the numerical determination of the shock position through ...
Cricelli, Antonio M. (Monterey, California. Naval Postgraduate School, 1992-12);Subsonic and transonic steady and unsteady flowfields over airfoils are investigated with the numerical solution of the governing equations. This study aims to enhance the performance of rotary wing and fixed wing aircraft ...