Indian Journal of Physics

, Volume 87, Issue 9, pp 929–937 | Cite as

Bubble and spike growth rate of Rayleigh Taylor and Richtmeyer Meshkov instability in finite layers

Original paper
First Online:
Received:
Accepted:

Abstract

Growth rates of Rayleigh Taylor (RT) and Richtmeyer Meshkov (RM) instability arising at the perturbed interface of two fluid both of which are of finite extent (d h  = height of the upper heavier fluid and d l  = depth of the lower lighter fluid) are studied. It is found that the RT growth rate of bubble for a given height d h is nearly independent of d l but for RM, there exists a weak dependence. However, for both RT and RM spikes the dependence on d h and d l is quite appreciable. Analytic expressions of the growth rate for finite values of d h and d l are obtainable only in linear approximation and these agree with earlier results. Nonlinear approximation results are obtainable by numerical integration of set of nonlinear ordinary differential equations.

Keywords

Rayleigh-Taylor instability Richtmyer-Meshkov instability;Bubbles Bubbles Spikes Shock waves Gravitational force 

PACS Nos.

52.57.Fg 52.57.Bc 52.35.Tc 
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Notes

Acknowledgments

This work is supported by the Council of Scientific and Industrial Research, Government of India under grant no. R-10/B/1/09.

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Copyright information

© Indian Association for the Cultivation of Science 2013

Authors and Affiliations

  • R. Banerjee
    • 1
    • 2
  • L. Mandal
    • 2
  • M. Khan
    • 2
  • M. R. Gupta
    • 2
  1. 1.St Paul’s Cathedral Mission CollegeKolkataIndia
  2. 2.Department of Instrumentation Science and Centre for Plasma StudiesJadavpur UniversityKolkataIndia

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