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The influence of the downstream pressure on the shock wave reflection phenomenon in steady flows

Published online by Cambridge University Press:  10 May 1999

G. BEN-DOR ,
T. ELPERIN ,
H. LI  and
E. VASILIEV
G. BEN-DOR
Affiliation:
Pearlstone Center for Aeronautical Engineering Studies, Department of Mechanical Engineering, Ben-Gurion University of the Negev, Beer-Sheva, Israel
T. ELPERIN
Affiliation:
Pearlstone Center for Aeronautical Engineering Studies, Department of Mechanical Engineering, Ben-Gurion University of the Negev, Beer-Sheva, Israel
H. LI
Affiliation:
Pearlstone Center for Aeronautical Engineering Studies, Department of Mechanical Engineering, Ben-Gurion University of the Negev, Beer-Sheva, Israel
E. VASILIEV
Affiliation:
Department of Computational Mechanics, Volgograd University, Volgograd, Russia
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Abstract

The effect of the downstream pressure (defined here as the wake pressure behind the tail of the reflecting wedge) on shock wave reflection in steady flows is investigated both numerically and analytically. The dependence of the shock wave configurations on the downstream pressure is studied. In addition to the incident-shock-wave-angle-induced hysteresis, which was discovered a few years ago, a new downstream- pressure-induced hysteresis has been found to exist. The numerical study reveals that when the downstream pressure is sufficiently high, an inverse-Mach reflection wave configuration, which has so far been observed only in unsteady flows, can be also established in steady flows. Very good agreement between the analytical predictions and the numerical results is found.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 386 , 10 May 1999 , pp. 213 - 232
Copyright
© 1999 Cambridge University Press

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