Electric and viscous correction for viscous potential flow analysis of electrohydrodynamic instability of an electrified leaky-dielectric jet

2021 ◽  
Vol 33 (11) ◽  
pp. 114109
Author(s):  
Luo Xie ◽  
Hai-bao Hu ◽  
Feng Ren ◽  
Xiao Huang ◽  
Peng Du ◽  
...  
Keyword(s):  
Potential Flow ◽  
Flow Analysis ◽  
Viscous Potential Flow ◽  
Electrohydrodynamic Instability ◽  
Leaky Dielectric

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.

scholarly journals Viscous Potential Flow Analysis of Electroaerodynamic Instability of a Liquid Sheet Sprayed with an Air Stream

2013 ◽  
Vol 2013 ◽  
pp. 1-6
Author(s):  
Mukesh Kumar Awasthi ◽  
Vineet K. Srivastava ◽  
M. Tamsir
Keyword(s):  
Electric Field ◽  
Potential Flow ◽  
Thin Sheet ◽  
Flow Analysis ◽  
Liquid Sheet ◽  
Liquid Stream ◽  
Viscous Potential Flow ◽  
Two Fluids ◽  
Air Stream ◽  
The Stability

The instability of a thin sheet of viscous and dielectric liquid moving in the same direction as an air stream in the presence of a uniform horizontal electric field has been carried out using viscous potential flow theory. It is observed that aerodynamic-enhanced instability occurs if the Weber number is much less than a critical value related to the ratio of the air and liquid stream velocities, viscosity ratio of two fluids, the electric field, and the dielectric constant values. Liquid viscosity has stabilizing effect in the stability analysis, while air viscosity has destabilizing effect.

Viscous potential flow analysis of radial fingering in a Hele-Shaw cell

2009 ◽  
Vol 21 (7) ◽  
pp. 074106 ◽  
Author(s):  
Hyungjun Kim ◽  
Toshio Funada ◽  
Daniel D. Joseph ◽  
G. M. Homsy
Keyword(s):  
Potential Flow ◽  
Flow Analysis ◽  
Viscous Potential Flow ◽  
Hele Shaw Cell
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