The concept of the generalized hypersonic equivalence principle for viscous flows is proposed in this paper. The traditional hypersonic equivalence principle applies only to the inviscid flows and pressure prediction. The present generalized principle indicates that the skin friction and the heat flux resulting from a steady viscous flow over a slender body could also be approximately analogous to the counterparts in an equivalent unsteady flow in one less space dimension. The key point is that the hypersonic velocity component perpendicular to the reduced unsteady flow plane should be retained and its evolution with time be properly treated to produce strong shear and dissipation effects. The generalized principle is specifically implemented by using the direct simulation Monte Carlo method to study the fundamental boundary-layer flow models and a practical complex viscous-interaction flow over a typical vehicle model. The results of the pressure, skin friction, and heat flux from the steady flows and the corresponding reduced unsteady flows are compared and analyzed. This study points out an inherent similarity between the hypersonic steady flow and the dimension-reduced unsteady flow, and also shows a potential application value in the engineering practice.
Generalized Hypersonic Equivalence Principle
AIAA Journal ; 58 , 1 ; 255-264
2019-09-25
10 pages
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch
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