Nonlinear theory of unstable fluid mixing driven by shock wave

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journal

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Author(s)

Detail(s)

Original languageEnglish
Pages (from-to)1106-1124
Journal / PublicationPhysics of Fluids
Volume9
Issue number4
Publication statusPublished - Apr 1997
Externally publishedYes

Abstract

A shock driven material interface between two fluids of different density is unstable. This instability is known as Richtmyer-Meshkov (RM) instability. In this paper, we present a quantitative nonlinear theory of compressible Richtmyer-Meshkov instability in two dimensions. Our nonlinear theory contains no free parameter and provides analytical predictions for the overall growth rate, as well as the growth rates of the bubble and spike, from early to later times for fluids of all density ratios. The theory also includes a general formulation of perturbative nonlinear solutions for incompressible fluids (evaluated explicitly through the fourth order). Our theory shows that the RM unstable system goes through a transition from a compressible and linear one at early times to a nonlinear and incompressible one at later times. Our theoretical predictions are in excellent agreement with the results of full numerical simulations from linear to nonlinear regimes. © 1997 American Institute of Physics.

Citation Format(s)

Nonlinear theory of unstable fluid mixing driven by shock wave. / Zhang, Qiang; Sohn, Sung-Ik.

In: Physics of Fluids, Vol. 9, No. 4, 04.1997, p. 1106-1124.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journal