Interaction of a turbulent boundary layer with a shock wave at transonic flow velocities
type: Item
instance of: scholarly article
title: Interaction of a turbulent boundary layer with a shock wave at transonic flow velocities
zbMATH Open document ID: 0541.76080
DOI: 10.1007/BF01091104
author: S. A. Velichko
author: Yu. B. Lifshits
published in: Fluid Dynamics
publication date: 1983-01-01T00:00:00Z
review text: The authors develop an asymptotic theory of the interaction of a turbulent boundary layer on a flat plate with a normal shock wave, assuming that the velocity in the undisturbed boundary layer satisfies a power law with an exponent depending on the Reynolds number, instead of a logarithmic law. The plate is situated in a gas flow with \(M_{\infty}>1\), and the shock wave impinges on it at a distance L from the tip. Some estimates for the basic averaged parameters are firstly obtained, then three different regions are distinguished in the flow field. In the first region a boundary value problem is obtaind, i.e.: \((1+\phi_{\xi})\phi_{\xi \xi}-\phi_{\eta \eta}=0\), \(\phi_{\eta}(\xi,0)=-\phi_{\xi \xi}(\xi,0), \phi \to 0 (\xi^ 2+\eta^ 2\to \infty\), \(\xi<0)\), \(\phi_{\xi}\to -2 (\xi^ 2+\eta^ 2\to \infty\), \(\xi>0)\). A solution of the problem is constructed numerically, and compared with experimental results.
Mathematics Subject Classification ID: 76H05
Mathematics Subject Classification ID: 76L05
Mathematics Subject Classification ID: 76D10
zbMATH DE Number: 3860715
zbMATH Keywords: power law of velocity
zbMATH Keywords: asymptotic theory
zbMATH Keywords: turbulent boundary layer
zbMATH Keywords: flat plate
zbMATH Keywords: normal shock wave
zbMATH Keywords: Reynolds number
reviewed by: Silvio Nocilla
MaRDI profile type: Publication
cites work: Q4105430
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description: scientific article; zbMATH DE number 3860715