The interface area increase produced by large-amplitude wave refraction through an interface that separates fluids with different densities can have important physiochemical consequences, such as a fuel consumption rate increase in the case of a shock–flame interaction. Using the results of numerical simulations along with a scaling analysis, a unified scaling law of the interface length increase was developed applicable to shock and expansion wave refractions and both types of interface orientation with the respect to the incoming wave. To avoid a common difficulty in interface length quantification in the numerical tests, a sinusoidally perturbed interface was generated using gases with different temperatures. It was found that the rate of interface increase correlates almost linearly with the circulation deposited at the interface. When combined with earlier developed models of circulation deposition in Richtmyer–Meshkov instability, the obtained scaling law predicts dependence of interface dynamics on the basic problem parameters.
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March 2013
Research-Article
Scaling Interface Length Increase Rates in Richtmyer–Meshkov Instabilities
V. Kilchyk,
V. Kilchyk
Department of Mechanical Engineering,
723 West Michigan Street, Indianapolis, IN 46202;Department of Mechanical Engineering,
585 Purdue Mall, West Lafayette, IN 47907
Indiana University–Purdue University
,723 West Michigan Street, Indianapolis, IN 46202;Department of Mechanical Engineering,
Purdue University
,585 Purdue Mall, West Lafayette, IN 47907
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R. Nalim,
R. Nalim
Department of Mechanical Engineering,
723 West Michigan Street, Indianapolis, IN 46202
Indiana University–Purdue University
,723 West Michigan Street, Indianapolis, IN 46202
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C. Merkle
C. Merkle
Department of Mechanical Engineering,
585 Purdue Mall, West Lafayette, IN 47907
Purdue University
,585 Purdue Mall, West Lafayette, IN 47907
Search for other works by this author on:
V. Kilchyk
Department of Mechanical Engineering,
723 West Michigan Street, Indianapolis, IN 46202;Department of Mechanical Engineering,
585 Purdue Mall, West Lafayette, IN 47907
Indiana University–Purdue University
,723 West Michigan Street, Indianapolis, IN 46202;Department of Mechanical Engineering,
Purdue University
,585 Purdue Mall, West Lafayette, IN 47907
R. Nalim
Department of Mechanical Engineering,
723 West Michigan Street, Indianapolis, IN 46202
Indiana University–Purdue University
,723 West Michigan Street, Indianapolis, IN 46202
C. Merkle
Department of Mechanical Engineering,
585 Purdue Mall, West Lafayette, IN 47907
Purdue University
,585 Purdue Mall, West Lafayette, IN 47907
Manuscript received February 25, 2012; final manuscript received December 7, 2012; published online February 22, 2013. Assoc. Editor: Ye Zhou.
J. Fluids Eng. Mar 2013, 135(3): 031203 (7 pages)
Published Online: February 22, 2013
Article history
Received:
February 25, 2012
Revision Received:
December 7, 2012
Citation
Kilchyk, V., Nalim, R., and Merkle, C. (February 22, 2013). "Scaling Interface Length Increase Rates in Richtmyer–Meshkov Instabilities." ASME. J. Fluids Eng. March 2013; 135(3): 031203. https://doi.org/10.1115/1.4023191
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