On the upper limits for complex growth rate in rotatory electrothermoconvection in a dielectric fluid layer saturating a sparsely distributed porous medium
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Banerjee, M.B., Katoch, D.C., Dube, G.S., Banerjee, K. (1981): Bounds for growth rate of perturbation in thermohaline convection. Proceedings of the Royal Society of London. Series A, 378, 301–304.BanerjeeM.B.KatochD.C.DubeG.S.BanerjeeK.1981Bounds for growth rate of perturbation in thermohaline convectionProceedings of the Royal Society of London. Series A378301304Search in Google Scholar
Bradley, R. (1978): Overstable electroconvective instabilities. The Quarterly Journal of Mechanics and Applied Mathematics, 31(3), 381–390.BradleyR.1978Overstable electroconvective instabilitiesThe Quarterly Journal of Mechanics and Applied Mathematics313381390Search in Google Scholar
Castellanos, A., Velarde, M. G. (1981): Electrohydrodynamic stability in the presence of a thermal gradient. Physics of Fluids, 24(10), 1784–1786.CastellanosA.VelardeM. G.1981Electrohydrodynamic stability in the presence of a thermal gradientPhysics of Fluids241017841786Search in Google Scholar
Castellanos, A., Atten, P., Velarde, M.G. (1984): Oscillatory and steady convection in dielectric liquid layers subjected to unipolar injection and temperature gradient. Physics of Fluids, 27, 1607–1615.CastellanosA.AttenP.VelardeM.G.1984Oscillatory and steady convection in dielectric liquid layers subjected to unipolar injection and temperature gradientPhysics of Fluids2716071615Search in Google Scholar
Chandrasekhar, S. (1981). Hydrodynamic and Hydromagnetic Stability. Dover publication, Inc. New York.ChandrasekharS.1981Hydrodynamic and Hydromagnetic StabilityDover publication, Inc.New YorkSearch in Google Scholar
Choudhary, S., Sunil (2019): Global stability for double-diffusive convection in a couple-stress fluid saturating a porous medium. Studia Geotechnica et Mechanica, 41(1), 13–20.ChoudharyS.Sunil2019Global stability for double-diffusive convection in a couple-stress fluid saturating a porous mediumStudia Geotechnica et Mechanica4111320Search in Google Scholar
Del Río, J.A., Whitaker, S. (2001): Electrohydrodynamics in porous media. Transport in Porous Media, 44(2), 385–405.Del RíoJ.A.WhitakerS.2001Electrohydrodynamics in porous mediaTransport in Porous Media442385405Search in Google Scholar
El-Sayed, M.F., Moatimid, G.M., Metwaly, T.M.N. (2011): Nonlinear electrohydrodynamic stability of two superposed streaming finite dielectric fluids in porous medium with interfacial surface charges. Transport in Porous Media. 86, 559–578.El-SayedM.F.MoatimidG.M.MetwalyT.M.N.2011Nonlinear electrohydrodynamic stability of two superposed streaming finite dielectric fluids in porous medium with interfacial surface chargesTransport in Porous Media86559578Search in Google Scholar
El-sayed, M.F., Moussa, M.H.M., Hassan, A.A.A., Hafez, N.M. (2014): Nonlinear electrohydromagnetic stability of conducting fluid flowing through porous medium down an inclined plane. Journal of Porous Media, 17(8), 685–703.El-sayedM.F.MoussaM.H.M.HassanA.A.A.HafezN.M.2014Nonlinear electrohydromagnetic stability of conducting fluid flowing through porous medium down an inclined planeJournal of Porous Media178685703Search in Google Scholar
Gross, M.J., Porter, J.E. (1966): Electrically induced convection in dielectric liquids. Nature, 212, 1343–1345.GrossM.J.PorterJ.E.1966Electrically induced convection in dielectric liquidsNature21213431345Search in Google Scholar
Ingham, D.B., Pop, I. (1998). Transport Phenomena in Porous Media. Pergamon, Oxford.InghamD.B.PopI.1998Transport Phenomena in Porous MediaPergamonOxfordSearch in Google Scholar
Jones, T.B. (1978), Electrohydrodynamically enhanced heat transfer in liquids—a review. in Advances in Heat Transfer, Academic Press, New York, 107–148.JonesT.B.1978Electrohydrodynamically enhanced heat transfer in liquids—a reviewinAdvances in Heat TransferAcademic PressNew York107148Search in Google Scholar
Landau, L. D., Lifshitz, E. M. (1984): Course of Theoretical Physics— Electrodynamics of Continuous Media. Butterworth Heinemann, Oxford.LandauL. D.LifshitzE. M.1984Course of Theoretical Physics— Electrodynamics of Continuous MediaButterworth HeinemannOxfordSearch in Google Scholar
Maekawa, T., Abe, K., Tanasawa, I. (1992): Onset of natural convection under an electric field. International Journal of Heat and Mass Transfer, 35(3), 613–621.MaekawaT.AbeK.TanasawaI.1992Onset of natural convection under an electric fieldInternational Journal of Heat and Mass Transfer353613621Search in Google Scholar
Martin P.J., Richardson, A.T. (1982): Overstable electrothermal instabilities in a plane layer of dielectric liquid. Journal of Electrostatics, 12, 435–439.MartinP.J.RichardsonA.T.1982Overstable electrothermal instabilities in a plane layer of dielectric liquidJournal of Electrostatics12435439Search in Google Scholar
Martin P.J., Richardson, A.T. (1984): Conductivity models of electrothermal convection in a plane layer of dielectric liquid. Journal of Heat Transfer, 106(1), 131–136.MartinP.J.RichardsonA.T.1984Conductivity models of electrothermal convection in a plane layer of dielectric liquidJournal of Heat Transfer1061131136Search in Google Scholar
Moreno, R.Z., Bonet, E.J., Trevisan, O.V. (1996): Electric alternating current effects on flow of oil and water in porous media. In: Proceedings of International Conference on Porous Media and their Applications in Science, Hawaii: Engineering and Industry, 147–172.MorenoR.Z.BonetE.J.TrevisanO.V.1996Electric alternating current effects on flow of oil and water in porous mediaIn:Proceedings of International Conference on Porous Media and their Applications in ScienceHawaii: Engineering and Industry147172Search in Google Scholar
Nield, D.A., Bejan, A. (2006). Convection in Porous Media. 3rd edn. Springer-Verlag, New York.NieldD.A.BejanA.2006Convection in Porous Media3rd edn.Springer-VerlagNew YorkSearch in Google Scholar
Nield, D.A., Bejan, A. (2013). Convection in Porous Media. 4th edn. Springer-Verlag, New York.NieldD.A.BejanA.2013Convection in Porous Media4th edn.Springer-VerlagNew YorkSearch in Google Scholar
Pellew A., Southwell, R.V. (1940). On the maintained convective motion in a fluid heated from below. In: Proceedings of the Royal Society of London. Series A, 176, 312–343.PellewA.SouthwellR.V.1940On the maintained convective motion in a fluid heated from belowIn:Proceedings of the Royal Society of London. Series A176312343Search in Google Scholar
Prakash, J. (2013): On arresting the complex growth rates in ferromagnetic convection in a ferrofluid saturated porous layer. Journal of Porous Media, 16, 217–226.PrakashJ.2013On arresting the complex growth rates in ferromagnetic convection in a ferrofluid saturated porous layerJournal of Porous Media16217226Search in Google Scholar
Prakash, J., Vaid K., Bala, R. (2014). Upper limits to the complex growth rates in triply diffusive convection. Proceedings of the Indian National Science Academy, 80(1), 115–122.PrakashJ.VaidK.BalaR.2014Upper limits to the complex growth rates in triply diffusive convectionProceedings of the Indian National Science Academy801115122Search in Google Scholar
Prakash, J., Kumari, K., Kumar, R. (2016): Triple diffusive convection in a maxwell fluid saturated porous layer: Darcy Brinkman-Maxwell Model. Journal of Porous Media, 19(10), 871–883.PrakashJ.KumariK.KumarR.2016Triple diffusive convection in a maxwell fluid saturated porous layer: Darcy Brinkman-Maxwell ModelJournal of Porous Media1910871883Search in Google Scholar
Prakash, J., Manan, S., Kumar, P. (2018): Ferromagnetic convection in a sparsely distributed porous medium with magnetic field dependent viscosity revisited. Journal of Porous Media, 21(8), 749–762.PrakashJ.MananS.KumarP.2018Ferromagnetic convection in a sparsely distributed porous medium with magnetic field dependent viscosity revisitedJournal of Porous Media218749762Search in Google Scholar
Prakash, J., Singh, V., Manan, S. (2017): On the limitations of linear growth rates in triply diffusive convection in porous medium. Journal of the Association of Arab Universities for Basic and Applied Sciences, 22, 91–97.PrakashJ.SinghV.MananS.2017On the limitations of linear growth rates in triply diffusive convection in porous mediumJournal of the Association of Arab Universities for Basic and Applied Sciences229197Search in Google Scholar
Ram, K., Prakash, J., Kumari, K., Kumar, P. (2022): Upper bounds for the complex growth rate of a disturbance in ferrothermohaline convection. Studia Geotechnica et Mechanica, 44(2), 114–122.RamK.PrakashJ.KumariK.KumarP.2022Upper bounds for the complex growth rate of a disturbance in ferrothermohaline convectionStudia Geotechnica et Mechanica442114122Search in Google Scholar
Roberts P.H. (1969): Electrohydrodynamic convection. Quarterly Journal of Mechanics and Applied Mathematics, 22(2), 211–220.RobertsP.H.1969Electrohydrodynamic convectionQuarterly Journal of Mechanics and Applied Mathematics222211220Search in Google Scholar
Rudraiah, N., Gayathri, M.S. (2009): Effect of thermal modulation on the onset of electrothermoconvection in a dielectric fluid saturated porous medium. ASME Journal of Heat Transfer. 131, 10100(1-15).RudraiahN.GayathriM.S.2009Effect of thermal modulation on the onset of electrothermoconvection in a dielectric fluid saturated porous mediumASME Journal of Heat Transfer131101001-15Search in Google Scholar
Saville, D.A. (1997): Electrohydrodynamics: The Taylor-Melcher leaky dielectric model, The Annual Review of Fluid Mechanics, 29, 27–64.SavilleD.A.1997Electrohydrodynamics: The Taylor-Melcher leaky dielectric modelThe Annual Review of Fluid Mechanics292764Search in Google Scholar
Shivakumara, I. S., Rudraiah, N., Lee, J., Hemalatha, K. (2011): The onset of Darcy–Brinkman electroconvection in a dielectric fluid saturated porous layer, Transport in Porous Media, 90, 509–528.ShivakumaraI. S.RudraiahN.LeeJ.HemalathaK.2011The onset of Darcy–Brinkman electroconvection in a dielectric fluid saturated porous layerTransport in Porous Media90509528Search in Google Scholar
Shivakumara, I.S., Ng, C., Nagashree, M.S. (2011): The onset of electrothermoconvection in a rotating brinkman porous layer, International Journal of engineering science, 49, 646–663.ShivakumaraI.S.NgC.NagashreeM.S.2011The onset of electrothermoconvection in a rotating brinkman porous layerInternational Journal of engineering science49646663Search in Google Scholar
Takashima, M. (1976): The Effect of rotation on electrohydrodynamic instability, Canadian Journal of Physics, 54(3), 342–347.TakashimaM.1976The Effect of rotation on electrohydrodynamic instabilityCanadian Journal of Physics543342347Search in Google Scholar
Turnbull, R. J. (1968): Electroconvective instability with a stabilizing temperature gradient. I, Theory, Physics of Fluids, 11, 2588–2596.TurnbullR. J.1968Electroconvective instability with a stabilizing temperature gradient. I, TheoryPhysics of Fluids1125882596Search in Google Scholar
Turnbull, R. J. (1968): Electroconvective instability with a stabilizing temperature gradient. II, Experimental Results, Physics of Fluids, 11, 2597–2603.TurnbullR. J.1968Electroconvective instability with a stabilizing temperature gradient. II, Experimental ResultsPhysics of Fluids1125972603Search in Google Scholar
Turnbull, R. J. (1969): Effect of dielectrophoretic forces on the Bénard instability. Physics of Fluids, 12, 1809–1815.TurnbullR. J.1969Effect of dielectrophoretic forces on the Bénard instabilityPhysics of Fluids1218091815Search in Google Scholar
Vafai, K. (2005). Handbook of Porous Media, CRC Press, Boca Raton.VafaiK.2005Handbook of Porous MediaCRC PressBoca RatonSearch in Google Scholar