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Shock-Driven Multi-mode Interface Evolution

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Fundamental Studies of Shock-Driven Hydrodynamic Instabilities

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Abstract

This chapter focuses on the evolution of a multi-mode interface induced by a shock wave. To understand the deviation of a multi-mode RM unstable interface from a single-mode one, the development of 2D single-mode interfaces, 2D quasi-single-mode interfaces, 2D multi-mode interfaces, and 3DMS interfaces induced by a shock wave are studied experimentally and theoretically. The soap film technique is first developed to form a 2D gaseous interface free of short-wavelength perturbation, diffusion layer, and three-dimensionality. The dependence of the amplitude growth of a multi-mode interface on its initial spectrum is quantified. A universal nonlinear model is finally established to cover the RM instability of a multi-mode interface from the quasi-linear regime to the late nonlinear regime considering various initial conditions, including different amplitude-wavelength ratios, Atwood numbers and Mach numbers. Finally, the universal nonlinear model is extended to describe the RM instability of a 3DMS interface considering the coupling between 3D modes.

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Authors and Affiliations

  1. Department of Modern Mechanics, University of Science and Technology of China, Hefei, Anhui, China

    Dr. Yu Liang

  2. Research Center on Stability, Instability, and Turbulence, New York University Abu Dhabi, Abu Dhabi, United Arab Emirates

    Dr. Yu Liang

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Liang, Y. (2022). Shock-Driven Multi-mode Interface Evolution. In: Fundamental Studies of Shock-Driven Hydrodynamic Instabilities. Springer Theses. Springer, Singapore. https://doi.org/10.1007/978-981-19-2992-2_2

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