Supersonic flows of Bethe-Zel'dovich-Thompson fluids in cascade configurations

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1994
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Virginia Tech
Abstract

We examine the dense gas behavior of Bethe-Zel'dovich-Thompson (BZT) fluids in two-dimensional, steady, inviscid, supersonic cascade configurations. Bethe-Zel'dovichThompson fluids are single-phase gases having specific heats so large that the fundamental derivative of gas dynamics, Γ, is negative over a finite range of pressures and temperatures. The equation of state is the well-known Martin-Hou equation, and the numerical scheme is the explicit predictor-corrector method of MacCormack. Numerical comparisons between BZT fluids and more classical fluids such as steam are presented in order to illustrate the possible advantages of using BZT fluids in supersonic cascades. It was found that the natural dynamics of BZT fluids can result in significant reductions in the adverse pressure gradients associated with the collision of compression waves with neighboring turbine blades. A numerical example of an entirely isentropic supersonic cascade flow using a BZT fluid is also presented.

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