Pressure corrections for viscous potential flow analysis of Rayleigh-Taylor instability of swirling annular layer

2020 ◽  
Author(s):  
Shivam Agarwal ◽  
Mukesh Kumar Awasthi
Keyword(s):  
Potential Flow ◽  
Flow Analysis ◽  
Taylor Instability ◽  
Viscous Potential Flow ◽  
Annular Layer ◽  
Rayleigh Taylor Instability

Viscous Corrections for the Viscous Potential Flow Analysis of Rayleigh–Taylor Instability With Heat and Mass Transfer

2013 ◽  
Vol 135 (7) ◽  
Author(s):  
Mukesh Kumar Awasthi
Keyword(s):  
Mass Transfer ◽  
Normal Stress ◽  
Heat And Mass Transfer ◽  
Potential Flow ◽  
Flow Analysis ◽  
Viscous Potential Flow ◽  
Stabilizing Effect ◽  
Rayleigh Taylor Instability ◽  
The Stability ◽  
Viscous Pressure

Viscous corrections for the viscous potential flow analysis of Rayleigh–Taylor instability of two viscous fluids when there is heat and mass transfer across the interface have been considered. Both fluids are taken as incompressible and viscous with different kinematic viscosities. In viscous potential flow theory, viscosity enters through a normal stress balance and the effects of shearing stresses are completely neglected. We include the viscous pressure in the normal stress balance along with irrotational pressure and it is assumed that this viscous pressure will resolve the discontinuity of the tangential stresses at the interface of the two fluids. It has been observed that heat and mass transfer has a stabilizing effect on the stability of the system. It has been shown that the irrotational viscous flow with viscous corrections gives rise to exactly the same dispersion relation as the dissipation method in which no pressure term is required and the viscous effect is accounted for by evaluating viscous dissipation using irrotational flow. It has been observed that the inclusion of irrotational shearing stresses has a stabilizing effect on the stability of the system.

VISCOUS POTENTIAL FLOW ANALYSIS OF STRESS-INDUCED CAVITATION IN AN APERTURE FLOW

2006 ◽  
Vol 16 (7) ◽  
pp. 763-776 ◽  
Author(s):  
T. Funada ◽  
J. Wang ◽  
Daniel D. Joseph
Keyword(s):  
Potential Flow ◽  
Flow Analysis ◽  
Viscous Potential Flow

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

2011 ◽  
Vol 110-116 ◽  
pp. 4628-4635 ◽  
Author(s):  
Mukesh Kumar Awasthi ◽  
Rishi Asthana ◽  
G.S. Agrawal
Keyword(s):  
Normal Stress ◽  
Potential Flow ◽  
Energy Equation ◽  
Mechanical Energy ◽  
Flow Analysis ◽  
Helmholtz Instability ◽  
Viscous Potential Flow ◽  
Two Fluids ◽  
Tangential Stresses ◽  
Viscous Pressure

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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