Electrohydrodynamic capillary instability with heat and mass transfer

We study the linear analysis of capillary instability of a cylindrical interface between two viscous and dielectric fluids, when the fluids are subjected to a constant axial electric field and, when there is heat and mass transfer across the interface. We use viscous correction for the viscous poten...

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Main Author: Mukesh Kumar Awasthi
Format: Article
Language:English
Published: Elsevier 2014-03-01
Series:Ain Shams Engineering Journal
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2090447913000890
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author Mukesh Kumar Awasthi
author_facet Mukesh Kumar Awasthi
author_sort Mukesh Kumar Awasthi
collection DOAJ
description We study the linear analysis of capillary instability of a cylindrical interface between two viscous and dielectric fluids, when the fluids are subjected to a constant axial electric field and, when there is heat and mass transfer across the interface. We use viscous correction for the viscous potential flow theory in which the discontinuities in the irrotational tangential velocity and shear stress are eliminated in the global energy balance by taking viscous contributions to the irrotational pressure. A quadratic dispersion relation that accounts for the growth of axisymmetric waves is obtained and stability criterion is given in terms of a critical value of wave number as well as electric field. It is observed that heat transfer and electric field both have stabilizing effect while vapor fraction has destabilizing effect on the stability of the system.
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spelling doaj.art-484c516f76a24910b25b3e57064a90412022-12-21T22:42:14ZengElsevierAin Shams Engineering Journal2090-44792014-03-015126327010.1016/j.asej.2013.09.003Electrohydrodynamic capillary instability with heat and mass transferMukesh Kumar AwasthiWe study the linear analysis of capillary instability of a cylindrical interface between two viscous and dielectric fluids, when the fluids are subjected to a constant axial electric field and, when there is heat and mass transfer across the interface. We use viscous correction for the viscous potential flow theory in which the discontinuities in the irrotational tangential velocity and shear stress are eliminated in the global energy balance by taking viscous contributions to the irrotational pressure. A quadratic dispersion relation that accounts for the growth of axisymmetric waves is obtained and stability criterion is given in terms of a critical value of wave number as well as electric field. It is observed that heat transfer and electric field both have stabilizing effect while vapor fraction has destabilizing effect on the stability of the system.http://www.sciencedirect.com/science/article/pii/S2090447913000890Capillary instabilityViscous correctionHeat and mass transferAxial electric field
spellingShingle Mukesh Kumar Awasthi
Electrohydrodynamic capillary instability with heat and mass transfer
Ain Shams Engineering Journal
Capillary instability
Viscous correction
Heat and mass transfer
Axial electric field
title Electrohydrodynamic capillary instability with heat and mass transfer
title_full Electrohydrodynamic capillary instability with heat and mass transfer
title_fullStr Electrohydrodynamic capillary instability with heat and mass transfer
title_full_unstemmed Electrohydrodynamic capillary instability with heat and mass transfer
title_short Electrohydrodynamic capillary instability with heat and mass transfer
title_sort electrohydrodynamic capillary instability with heat and mass transfer
topic Capillary instability
Viscous correction
Heat and mass transfer
Axial electric field
url http://www.sciencedirect.com/science/article/pii/S2090447913000890
work_keys_str_mv AT mukeshkumarawasthi electrohydrodynamiccapillaryinstabilitywithheatandmasstransfer