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The Weak Interaction Induced Pressure due to the Stepwise‐Deceleration of a Flat Plate in Hypersonic Flow
Author(s) -
Rodkiewicz Cz M.,
Gupta R. N.
Publication year - 1980
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19800601105
Subject(s) - hypersonic speed , mechanics , boundary layer , hypersonic flow , displacement (psychology) , shearing (physics) , physics , shear stress , flow (mathematics) , boundary layer thickness , materials science , classical mechanics , thermodynamics , psychology , psychotherapist
A semi‐infinite plate is exposed to the stepwise‐decelerated hypersonic flow at zero angle of attack. The boundary layer reconfiguration gives rise to an induced pressure. To obtain this temporal pressure distribution, the transformed momentum and energy equations have been solved using the approach of Ref. [1]. These solutions are used to evaluate the displacement thickness for the unsteady boundary layer. The differentiated displacement thickness is finally used in the induced pressure expression involving the acoustic approximation. The shearing stress and heat transfer at the wall are obtained.