The dependence of the Richtmyer-Meshkov instability on the atwood number and dimensionality - Theory and experiments

O. Sadot, A. Yosef-Hai, D. Oron, A. Rikanati, D. Kartoon, L. Arazi, Y. Elbaz, E. Sarid, G. Ben-Dor, D. Shvarts

Research output: Contribution to journalArticlepeer-review

Abstract

In order to verify the predictions of the 2D high Atwood number potential flow model for the evolution of the shock wave induced Richtmyer-Meshkov instability, 1 shock-tube experiments were performed with a single-mode perturbation and two competing bubbles as the initial conditions.2 The experimental results were compared to theoretical model and to numerical simulation. In the present work the dependence of the instability on the Atwood number and the dimensionality of the instability were investigated in a shock tube apparatus. A high speed schlieren photography system were used to monitor the evolution of the unstable contact surface. Different Atwood numbers were achieved by using different gases. The results of those experiments were found to be in very good agreement with the predictions of theoretical model and numerical simulation. These results verify the key elements of the Atwood number scaling of the bubble-merger model used for the prediction of the multi-mode bubble an d spike front evolution at all Atwood numbers. The dimensionality investigation of the instability evolution was done using a pyramid like initial perturbation. The results reveal the same two key elements of the bubble-merger model to describe the bubble and spike front evolution as in the 2D case2 except for different scaling constants.

Original languageEnglish
Pages (from-to)798-806
Number of pages9
JournalProceedings of SPIE - The International Society for Optical Engineering
Volume4183
Issue number1
DOIs
StatePublished - 17 Apr 2001

Keywords

  • High speed photography
  • Hydrodynamic instability
  • Richtmyer-Meshkov instability
  • Schlieren photography

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