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Title of Article

ASYMPTOTICALLY CONCORDANT CONTINUUM MODELS FOR THE HYPERSONIC RAREFIED GAS FLOW OVER BLUNT BODIES IN A TRANSITIONAL REGIME


Issue
4
Date
2011

Article type
scientific article
UDC
533.5
Pages
664-666
Keywords
 


Authors
Brykina I.G.
NII mekhaniki Moskovskogo gosuniversiteta im. M.V. Lomonosova

Rogov B.V.
Institut prikladnoy matematiki im. M.V. Keldysha RAN, Moskva


Abstract
Asymptotically concordant continuum models ? the viscous shock layer (VSL) and the thin viscous shock layer (TVSL) ? are introduced for the investigation of heat-transfer and skin friction in the hypersonic rarefied gas flow over blunt bodies. Asymptotically correct shock and wall boundary conditions for these models are derived. For the VSL model, it is shown that at low Reynolds numbers it is essential to account for boundary condition terms related with shock and surface curvatures and effective wall conditions for the slip velocity and the temperature jump are proposed. The analytical solutions for heat-transfer, skin-friction and pressure coefficients are obtained by the asymptotic method for 2D and some 3D flows in transitional regime. The numerical simulation of the hypersonic flow over blunt bodies is carried out within the framework of VSL and TVSL models over a wide range of Reynolds numbers to determine the scope of applicability of continuum flow models.

File (in Russian)