Journal of Fluid Mechanics



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On upstream influence in supersonic flows


R. KRECHETNIKOV a1 and I. I. LIPATOV a2
a1 California Institute of Technology, Pasadena, CA 91125, USA
a2 Central Aero-Hydrodynamic Institute, Zhukovsky-3, 140160, Russia

Article author query
krechetnikov r   [Google Scholar] 
lipatov ii   [Google Scholar] 
 

Abstract

The general problem of propagation of three-dimensional disturbances in viscous supersonic flows is considered in the framework of characteristic analysis. Unlike previous results for linear disturbances we deduce a condition determining nonlinear characteristic surfaces which is exact and therefore allows both qualitative and quantitative studies of the speed of propagation as a function of various physical phenomena. These include negative and adverse pressure gradients, and effects of wall cooling and suction–blowing, which are studied in this work as an illustration of the general theory.

(Published Online September 5 2005)
(Received October 1 2004)
(Revised March 29 2005)



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