Combined Richtmyer-Meshkov and Kelvin-Helmholtz Instability with Surface Tension

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Rahul Banerjee
Rahul Banerjee
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S. Kanjilal
S. Kanjilal
α University of Calcutta University of Calcutta

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Combined Richtmyer-Meshkov and Kelvin-Helmholtz Instability with Surface Tension

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Abstract

A nonlinear theoretical model of the combined Richtmyer-Meshkov and Kelvin-Helmholtz instability between two different density fluids with surface tension is proposed. The model is based on the extended Layzer’s potential flow model. It is observed that, the surface tension decreases the velocity but does not affect the curvature of the bubble tip, provided surface tension is greater than a critical value. Under a certain condition it is also observed that surface tension stabilized the motion with nonlinear oscillations. The nonlinear oscillations depend on surface tension and relative velocity shear of two fluids. All results are obtained theoretically and supported by numerical technique.

References

17 Cites in Article
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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

Rahul Banerjee. 2014. \u201cCombined Richtmyer-Meshkov and Kelvin-Helmholtz Instability with Surface Tension\u201d. Global Journal of Science Frontier Research - A: Physics & Space Science GJSFR-A Volume 14 (GJSFR Volume 14 Issue A3): .

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Issue Cover
GJSFR Volume 14 Issue A3
Pg. 41- 50
Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Version of record

v1.2

Issue date

July 20, 2014

Language
en
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Published Article

A nonlinear theoretical model of the combined Richtmyer-Meshkov and Kelvin-Helmholtz instability between two different density fluids with surface tension is proposed. The model is based on the extended Layzer’s potential flow model. It is observed that, the surface tension decreases the velocity but does not affect the curvature of the bubble tip, provided surface tension is greater than a critical value. Under a certain condition it is also observed that surface tension stabilized the motion with nonlinear oscillations. The nonlinear oscillations depend on surface tension and relative velocity shear of two fluids. All results are obtained theoretically and supported by numerical technique.

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Combined Richtmyer-Meshkov and Kelvin-Helmholtz Instability with Surface Tension

Rahul Banerjee
Rahul Banerjee University of Calcutta
S. Kanjilal
S. Kanjilal

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