The instability of an electrohydrodynamic viscous liquid micro-cylinder buried in a porous medium: effect of thermosolutal Marangoni convection
type: Item
instance of: scholarly article
title: The instability of an electrohydrodynamic viscous liquid micro-cylinder buried in a porous medium: effect of thermosolutal Marangoni convection
zbMATH Open document ID: 1296.76150
DOI: 10.1155/2013/416562
author: Mohamed A. Hassan
author: Galal M. Moatimid
published in: Mathematical Problems in Engineering
publication date: 2014-10-13T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 76S05
Mathematics Subject Classification ID: 76E06
Mathematics Subject Classification ID: 76W05
zbMATH DE Number: 6354293
Wikidata QID: Q59027315
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/416562
OpenAlex ID: W1968369820
cites work: Augmentation of heat transfer from a solid cylinder wrapped with a porous layer
cites work: Temporal instability of viscous liquid microjets with spatially varying surface tension
cites work: Nonlinear analysis of the deformation and breakup of viscous microjets using the method of lines
cites work: Instability of non-Newtonian jets with a surface tension gradient
cites work: Temporal analysis of power law liquid jets
cites work: Electrohydrodynamic stability of a liquid jet
cites work: Thermodynamics and dynamics of pure interfaces
cites work: Coupled marangoni boundary layers
cites work: The effect of surfactant on the stability of a fluid filament embedded in a viscous fluid
cites work: The effect of surfactant on the stability of a liquid thread
cites work: Effect of surfactants on the instability of a liquid thread
cites work: Pinchoff and satellite formation in surfactant covered viscous threads
cites work: Effects of insoluble surfactants on the nonlinear deformation and breakup of stretching liquid bridges
cites work: ON A HIERARCHY OF APPROXIMATE MODELS FOR FLOWS OF INCOMPRESSIBLE FLUIDS THROUGH POROUS SOLIDS
cites work: Convection in Porous Media
cites work: Advanced Transport Phenomena
cites work: The prediction of Marangoni convection in binary liquid-liquid systems with added surfactants.
description: scientific article; zbMATH DE number 6354293