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Viscous potential flow analysis of Kelvin–Helmholtz instability with mass transfer and vaporization

Author

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  • Asthana, Rishi
  • Agrawal, G.S.

Abstract

Viscous potential flow analysis of Kelvin–Helmholtz instability with heat and mass transfer has been studied. A dispersion relation has been obtained. Stability criterion is given by a critical value of relative velocity. It has been found that heat and mass transfer has destabilizing effect on relative velocity when lower fluid viscosity is low while it has stabilizing effect when lower fluid viscosity is high. Various graphs have been plotted for relative velocity and growth rate. In statically unstable situation viscosity has stabilizing effect while in statically stable situation it has destabilizing effect.

Suggested Citation

  • Asthana, Rishi & Agrawal, G.S., 2007. "Viscous potential flow analysis of Kelvin–Helmholtz instability with mass transfer and vaporization," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 382(2), pages 389-404.
  • Handle: RePEc:eee:phsmap:v:382:y:2007:i:2:p:389-404
    DOI: 10.1016/j.physa.2007.04.037
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    Citations

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    Cited by:

    1. Mohanta, Lokanath & Cheung, Fan-Bill & Bajorek, Stephen M., 2016. "Stability of coaxial jets confined in a tube with heat and mass transfer," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 443(C), pages 333-346.
    2. M. H. Obied Allah, 2013. "Viscous potential flow analysis of magnetohydrodynamic interfacial stability through porous media," Indian Journal of Pure and Applied Mathematics, Springer, vol. 44(4), pages 419-441, August.

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