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Experimental and numerical investigation of the Richtmyer–Meshkov instability under re-shock conditions

Published online by Cambridge University Press:  10 May 2009

E. LEINOV ,
G. MALAMUD ,
Y. ELBAZ ,
L. A. LEVIN ,
G. BEN-DOR ,
D. SHVARTS  and
O. SADOT
E. LEINOV
Affiliation:
Pearlstone Center for Aeronautical Engineering Studies, Department of Mechanical Engineering, Ben-Gurion University of the Negev, P.O.B. 653, Be'er-Sheva, Israel
G. MALAMUD
Affiliation:
Pearlstone Center for Aeronautical Engineering Studies, Department of Mechanical Engineering, Ben-Gurion University of the Negev, P.O.B. 653, Be'er-Sheva, Israel Department of Physics, Nuclear Research Center-Negev, P.O.B. 2001, Be'er-Sheva, Israel
Y. ELBAZ
Affiliation:
Department of Physics, Nuclear Research Center-Negev, P.O.B. 2001, Be'er-Sheva, Israel
L. A. LEVIN
Affiliation:
Pearlstone Center for Aeronautical Engineering Studies, Department of Mechanical Engineering, Ben-Gurion University of the Negev, P.O.B. 653, Be'er-Sheva, Israel Department of Physics, Nuclear Research Center-Negev, P.O.B. 2001, Be'er-Sheva, Israel
G. BEN-DOR
Affiliation:
Pearlstone Center for Aeronautical Engineering Studies, Department of Mechanical Engineering, Ben-Gurion University of the Negev, P.O.B. 653, Be'er-Sheva, Israel
D. SHVARTS
Affiliation:
Pearlstone Center for Aeronautical Engineering Studies, Department of Mechanical Engineering, Ben-Gurion University of the Negev, P.O.B. 653, Be'er-Sheva, Israel Department of Physics, Nuclear Research Center-Negev, P.O.B. 2001, Be'er-Sheva, Israel
O. SADOT*
Affiliation:
Pearlstone Center for Aeronautical Engineering Studies, Department of Mechanical Engineering, Ben-Gurion University of the Negev, P.O.B. 653, Be'er-Sheva, Israel Department of Physics, Nuclear Research Center-Negev, P.O.B. 2001, Be'er-Sheva, Israel
*
‡E-mail address for correspondence: sorens@bgu.ac.il
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Abstract

An experimental and numerical systematic study of the growth of the Richtmyer–Meshkov instability-induced mixing following a re-shock is made, where the initial shock moves from the light fluid to the heavy one, over an incident Mach number range of 1.15–1.45. The evolution of the mixing zone following the re-shock is found to be independent of its amplitude at the time of the re-shock and to depend directly on the strength of the re-shock. A linear growth of the mixing zone with time following the passage of the re-shock and before the arrival of the reflected rarefaction wave is found. Moreover, when the mixing zone width is plotted as a function of the distance travelled, the growth slope is found to be independent of the re-shock strength. A comparison of the experimental results with direct numerical simulation calculations reveals that the linear growth rate of the mixing zone is the result of a bubble competition process.

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Papers
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Journal of Fluid Mechanics , Volume 626 , 10 May 2009 , pp. 449 - 475
Copyright
Copyright © Cambridge University Press 2009

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References

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