The Instability of an Electrohydrodynamic Viscous Liquid Micro-Cylinder Buried in a Porous Medium: Effect of Thermosolutal Marangoni Convection
Joint Authors
Moatimid, Galal M.
Hassan, Mohamed A.
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-07-08
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
The electrohydrodynamic (EHD) thermosolutal Marangoni convection of viscous liquid, in the presence of an axial electric field through a micro cylindrical porous flow, is considered.
It is assumed that the surface tension varies linearly with both temperature and concentration.
The instability of the interface is investigated for the free surface of the fluid.
The expression of the free surface function is derived taking into account the independence of the surface tension of the heat and mass transfer.
The transcendental dispersion relation is obtained considering the dependence of the surface tension on the heat and mass transfer.
Numerical estimations for the roots of the transcendental dispersion relation are obtained indicating the relation between the disturbance growth rate and the variation of the wave number.
It is found that increasing both the temperature and concentration at the axial microcylinder has a destabilizing effect on the interface, according to the reduction of the surface tension.
The existence of the porous structure restricts the flow and hence has a stabilizing effect.
Also, the axial electric field has a stabilizing effect.
Some of previous analytical and experimental results are recovered upon appropriate data choices.
American Psychological Association (APA)
Moatimid, Galal M.& Hassan, Mohamed A.. 2013. The Instability of an Electrohydrodynamic Viscous Liquid Micro-Cylinder Buried in a Porous Medium: Effect of Thermosolutal Marangoni Convection. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-14.
https://search.emarefa.net/detail/BIM-1009339
Modern Language Association (MLA)
Moatimid, Galal M.& Hassan, Mohamed A.. The Instability of an Electrohydrodynamic Viscous Liquid Micro-Cylinder Buried in a Porous Medium: Effect of Thermosolutal Marangoni Convection. Mathematical Problems in Engineering No. 2013 (2013), pp.1-14.
https://search.emarefa.net/detail/BIM-1009339
American Medical Association (AMA)
Moatimid, Galal M.& Hassan, Mohamed A.. The Instability of an Electrohydrodynamic Viscous Liquid Micro-Cylinder Buried in a Porous Medium: Effect of Thermosolutal Marangoni Convection. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-14.
https://search.emarefa.net/detail/BIM-1009339
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1009339