Pressure Corrections for the Potential Flow Analysis of Kelvin-Helmholtz Instability

Mukesh Kumar Awasthi; Rishi Asthana; G.S. Agrawal

doi:10.4028/www.scientific.net/AMM.110-116.4628

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 110-116Pressure Corrections for the Potential Flow...

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.

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Periodical:

Applied Mechanics and Materials (Volumes 110-116)

Pages:

4628-4635

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.110-116.4628

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Online since:

October 2011

Authors:

Mukesh Kumar Awasthi, Rishi Asthana, G.S. Agrawal

Keywords:

Incompressible Fluid, Interfacial Flows, Kelvin-Helmholtz Instability, Potential Flow, Pressure Correction

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