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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Format: | Article |
Language: | English |
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Elsevier
2014-03-01
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Series: | Ain Shams Engineering Journal |
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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. |
first_indexed | 2024-12-15T00:22:50Z |
format | Article |
id | doaj.art-484c516f76a24910b25b3e57064a9041 |
institution | Directory Open Access Journal |
issn | 2090-4479 |
language | English |
last_indexed | 2024-12-15T00:22:50Z |
publishDate | 2014-03-01 |
publisher | Elsevier |
record_format | Article |
series | Ain Shams Engineering Journal |
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 |