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Linea. insta.ility of the electrified free interfa.e between two cylindrica. shells of viscoela.tic fluids through porous media

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a.ta.Mecha.ica.Sinica 2012年第6期28卷 1572-1589页

作者： magdy a. sirwah Depa.tment of Ma.hema.ics Faculty of Science Tanta University

In this pa.er, we ha.e discussed the linea. sta.il- ity a.a.ysis of the electrified surfa.e sepa.a.ing two coa.ia. Oldroyd-B fluid la.ers confined between two impermea.le rigid cylinders in the presence of both interfa.ia. insoluble surfa.ta.t a.d surfa.e cha.ge through porous media. The ca.e of long wa.es interfa.ia. sta.ility ha. been studied. The dispersion rela.ion is solved numerica.ly a.d hence the ef- fects of va.ious pa.a.eters a.e illustra.ed gra.hica.ly. Our results revea. tha. the influence of the physicochemica. pa. ra.eterβ is to shrink the insta.ility region of the surfa.e a.d reduce the growth ra.e of the unsta.le norma. modes. Such importa.t effects of the surfa.ta.t on the sha.e of in- terfa.ia. structures a.e more sensitive to the va.ia.ion of the βcorresponding to non-Newtonia. fluids-model compa.ed with the Newtonia. fluids model. In the ca.e of long wa.e limit, it is demonstra.ed tha. increa.ing r, ha. a.dua. role in- fluence （de-sta.ilizing effects） depending on the viscosity of the core fluid. It ha. a.desta.ilizing effect a. the la.ge va.ues of the core fluid viscosity coefficient, while this role is ex- cha.ged to a.regula.ly sta.ilizing influence a. sma.l va.ues of such coefficient.

关键词： Modified Da.cy's la. Oldroyd-B model Ca.-illa.y sta.ility flow Insoluble surfa.ta.t Surfa.e cha.ges Porous media

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a.Two-La.er Model for Superposed Electrified Ma.well Fluids in Presence of Hea. Tra.sfer

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Communica.ions in Theoretica. Physics 2011年第6期55卷 1077-1094页

作者： Ka.ry Za.a.ia.magdy a. sirwah Sa.eh a. a.kha.a.hi Depa.tment of Ma.hema.ics Faculty of ScienceTanta University

Ba.ed on a.modified-Da.cy-Ma.well model, two-dimensiona., incompressible a.d hea. tra.sfer flow of two bounded la.ers, through electrified Ma.well fluids in porous media.is performed. The driving force for the insta.ility under a. electric field, is a. electrosta.ic force exerted on the free cha.ges a.cumula.ed a. the dividing interfa.e. Norma. mode a.a.ysis is considered to study the linea. sta.ility of the disturba.ces la.ers. The solutions of the linea.ized equa.ions of motion with the bounda.y conditions lea. to a. implicit dispersion rela.ion between the growth ra.e a.d wa.e number. These equa.ions a.e pa.a.eterized by Weber number, Reynolds number, Ma.a.goni number, dimensionless conductivities, a.d dimensionless electric potentia.s. The ca.e of long wa.es interfa.ia. sta.ility ha. been studied. The sta.ility criteria.a.e performed theoretica.ly in which sta.ility dia.ra.s a.e obta.ned. In the limiting ca.es, some previously published results ca. be considered a. pa.ticula. ca.es of our results. It is found tha. the Reynolds number pla.s a.desta.ilizing role in the sta.ility criteria. while the da.ping influence is observed for the increa.ing of Ma.a.goni number a.d Ma.well rela.a.ion time.

关键词： modified-Da.cy-Ma.well model two la.ers sta.ility hea. tra.sfer surfa.e cha.ges porous media

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Ma.netohydrodyna.ics insta.ility of interfa.ia. wa.es between two immiscible incompressible cylindrica. fluids

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a.ta.Mecha.ica.Sinica 2008年第5期24卷 497-514页

作者： Ka.ry Za.a.ia.magdy a.sirwah a.med a.sa. Depa.tment of Ma.hema.ics Faculty of ScienceTanta UniversityTantaEgypt

The problem of nonlinea. insta.ility of interfa.ia. wa.es between two immiscible conducting cylindrica. fluids of a.wea. Oldroyd 3-consta.t kind is studied. The system is a.sumed to be influenced by a. a.ia. ma.netic field, where the effect of surfa.e tension is ta.en into a.count. The a.a.ysis, ba.ed on the method of multiple sca.e in both spa.e a.d time, includes the linea. a. well a. the nonlinea. effects. This scheme lea.s to imposing of two levels of the solva.ility conditions, which a.e used to construct like-nonlinea. Schr6dinger equa.ions （1-NLS） with complex coefficients. These equa.ions genera.ly describe the competition between nonlinea.ity a.d dispersion. The sta.ility criteria.a.e theoret- ica.ly discussed a.d thereby sta.ility dia.ra.s a.e obta.ned for different sets of physica. pa.a.eters. Proceeding to the nonlinea. step of the problem, the results show the a.pea.a.ce of dua. role of some physica. pa.a.eters. Moreover, these effects depend on the wa.e kind, short or long, except for the ordina.y viscosity pa.a.eter. The effect of the field on the system sta.ility depends on the existence of viscosity a.d differs in the linea. ca.e of the problem from the nonlinea. one. There is a. obvious difference between the effect of the three Oldroyd consta.ts on the system sta.ility. New insta.ility regions in the pa.a.eter spa.e, which a.pea. due to nonlinea. effects, a.e shown.

关键词： Ma.netohydrodyna.mics (MHD) Insta.ility ,Interfa.ia. wa.es Immiscible fluids

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