Paper Title:
Pressure Corrections for the Potential Flow Analysis of Kelvin-Helmholtz Instability
  Abstract

The present paper deals with the study of viscous contribution to the pressure for the viscous potential flow analysis of Kelvin-Helmholtz instability of two viscous fluids. Viscosity enters through normal stress balance in the viscous potential flow theory and tangential stresses for two fluids are not continuous at the interface. Here we have considered viscous pressure in the normal stress balance along with the irrotational pressure and it is assumed that the addition of this viscous pressure will resolve the discontinuity between the tangential stresses and the tangential velocities at the interface. The viscous pressure is derived by mechanical energy equation and this pressure correction applied to compute the growth rate of Kelvin-Helmholtz instability. A dispersion relation is obtained and a stability criterion is given in the terms of critical value of relative velocity. It has been observed that the inclusion of irrotational shearing stresses stabilizes the system.

  Info
Periodical
Chapter
Chapter 22: Metrology and Measurement
Edited by
Wu Fan
Pages
4628-4635
DOI
10.4028/www.scientific.net/AMM.110-116.4628
Citation
M. K. Awasthi, R. Asthana, G.S. Agrawal, "Pressure Corrections for the Potential Flow Analysis of Kelvin-Helmholtz Instability", Applied Mechanics and Materials, Vols. 110-116, pp. 4628-4635, 2012
Online since
October 2011
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Price
$32.00
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