Title: Viscous contribution to the pressure for electroviscous potential flow analysis of capillary instability

Authors: M.K. Awasthi; G.S. Agrawal

Addresses: Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee 247667, India. ' Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee 247667, India

Abstract: Viscous contribution for the Viscous Potential Flow (VPF) analysis of capillary instability with axial electric field at the interface of two viscous fluids has been analysed. In VPF, viscosity enters through normal stress balance and the effects of shearing stresses are completely ignored. To include the effect of shearing stresses, viscous pressure is included in normal stress balance along with irrotational pressure and it is assumed that the viscous contribution to the irrotational pressure will resolve the discrepancy between the tangential stresses at the interface. Stability criterion is given in terms of critical value of electric field. Various graphs have been drawn to show the effect of the parameters, such as electric field, inner fluid fraction, Ohnesorge number, conductivity ratio and permittivity ratio.

Keywords: viscous contribution; viscous potential flow; capillary instability; interfacial flows; axial electric field; electroviscous flow; viscous fluids; viscosity; shearing stress.

DOI: 10.1504/IJTAMM.2011.043535

International Journal of Theoretical and Applied Multiscale Mechanics, 2011 Vol.2 No.2, pp.130 - 145

Published online: 31 Oct 2011 *

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