Open Access

Upper Bounds for the Complex Growth Rate of a Disturbance in Ferrothermohaline Convection


Cite

Banerjee M.B., Katoch D.C., Dube G.S., Banerjee, K. (1981), Bounds for growth rate of perturbation in thermohaline convection, Proc. Roy. Soc. London A, 378, 301–304. BanerjeeM.B. KatochD.C. DubeG.S. BanerjeeK. 1981 Bounds for growth rate of perturbation in thermohaline convection Proc. Roy. Soc. London A 378 301 304 10.1098/rspa.1981.0153 Search in Google Scholar

Finlayson B.A. (1970), Convective instability of ferromagnetic fluids, J. Fluid Mech., 40, 753–767. FinlaysonB.A. 1970 Convective instability of ferromagnetic fluids J. Fluid Mech. 40 753 767 10.1017/S0022112070000423 Search in Google Scholar

Gupta M.D., Gupta A.S. (1979), Convective instability of a layer of a ferromagnetic fluid rotating about a vertical axis, Int. J. Eng. Sci., 17, 271–277. GuptaM.D. GuptaA.S. 1979 Convective instability of a layer of a ferromagnetic fluid rotating about a vertical axis Int. J. Eng. Sci. 17 271 277 10.1016/0020-7225(79)90090-9 Search in Google Scholar

Gupta J.R., Sood.S.K., Shandil.R.G., Banerjee M.B., Banerjee K. (1983), Bounds for the growth of a perturbation in some double-diffusive convection problems, J. Aust. Math. Soc. Ser. B, 25, 276–285. GuptaJ.R. SoodS.K. ShandilR.G. BanerjeeM.B. BanerjeeK. 1983 Bounds for the growth of a perturbation in some double-diffusive convection problems J. Aust. Math. Soc. Ser. B 25 276 285 10.1017/S0334270000004069 Search in Google Scholar

Lalas D.P., Carmi S. (1971), Thermoconvective stability of ferrofluids, Phys. Fluids, 14(2), 436–437. LalasD.P. CarmiS. 1971 Thermoconvective stability of ferrofluids Phys. Fluids 14 2 436 437 10.1063/1.1693446 Search in Google Scholar

Nataraj R., Bhavya S. (2019), Effect of Exponentially Temperature-Dependent Viscosity on the Onset of Penetrative Ferro-Thermal-Convection in a Saturated Porous Layer via Internal Heating, Journal of Electromagnetic Analysis and Applications, 11, 101–116. NatarajR. BhavyaS. 2019 Effect of Exponentially Temperature-Dependent Viscosity on the Onset of Penetrative Ferro-Thermal-Convection in a Saturated Porous Layer via Internal Heating Journal of Electromagnetic Analysis and Applications 11 101 116 10.4236/jemaa.2019.117007 Search in Google Scholar

Odenbach S. (2002), Ferrofluids: Magnetically controllable fluids and their applications, Springer-Verlag, Berlin, Heidelberg. OdenbachS. 2002 Ferrofluids: Magnetically controllable fluids and their applications Springer-Verlag Berlin, Heidelberg 10.1007/3-540-45646-5 Search in Google Scholar

Odenbach S. (2002a), Magnetoviscous effects in ferrofluids, Springer-Verlag, Berlin, Heidelberg. OdenbachS. 2002a Magnetoviscous effects in ferrofluids Springer-Verlag Berlin, Heidelberg 10.1007/3-540-45646-5_10 Search in Google Scholar

Prakash J. (2012), On stationary convection and oscillatory motions in ferromagnetic convection in a ferrofluid layer, J. Magn. Magn. Mater. 324(8), 1523–1527. PrakashJ. 2012 On stationary convection and oscillatory motions in ferromagnetic convection in a ferrofluid layer J. Magn. Magn. Mater. 324 8 1523 1527 10.1016/j.jmmm.2011.11.058 Search in Google Scholar

Prakash J. (2013), On arresting the complex growth rates in ferromagnetic convection in a ferrofluid saturated porous layer, J. Porous Media, 16(3), 217–226. PrakashJ. 2013 On arresting the complex growth rates in ferromagnetic convection in a ferrofluid saturated porous layer J. Porous Media 16 3 217 226 10.1615/JPorMedia.v16.i3.40 Search in Google Scholar

Prakash J., and Gupta S. (2013), On arresting the complex growth rates in ferromagnetic convection with magnetic field dependent viscosity in a rotating ferrofluid layer, J. Magn. Magn. Mater. 345, 201–207. PrakashJ. GuptaS. 2013 On arresting the complex growth rates in ferromagnetic convection with magnetic field dependent viscosity in a rotating ferrofluid layer J. Magn. Magn. Mater. 345 201 207 10.1016/j.jmmm.2013.06.025 Search in Google Scholar

Prakash J. (2014), On exchange of stabilities in ferromagnetic convection in a rotating ferrofluid saturated porous layer, J. Appl. Fluid Mech. 7(1), 147–154. PrakashJ. 2014 On exchange of stabilities in ferromagnetic convection in a rotating ferrofluid saturated porous layer J. Appl. Fluid Mech. 7 1 147 154 10.36884/jafm.7.01.19347 Search in Google Scholar

Prakash J., Vaid K., Bala R. (2014), Upper limits to the complex growth rates in triply diffusive convection, Proc. Indian Nat. Sci. Acad., 80(1), 115–122. PrakashJ. VaidK. BalaR. 2014 Upper limits to the complex growth rates in triply diffusive convection Proc. Indian Nat. Sci. Acad. 80 1 115 122 10.16943/ptinsa/2014/v80i1/55090 Search in Google Scholar

Prakash J., Bala R., Kumari K. (2017), Upper bounds for the complex growth rates in ferromagnetic convection in a rotating porous medium: Darcy-Brinkman Model, Bull. Cal. Math. Soc. 109(2), 153–170. PrakashJ. BalaR. KumariK. 2017 Upper bounds for the complex growth rates in ferromagnetic convection in a rotating porous medium: Darcy-Brinkman Model Bull. Cal. Math. Soc. 109 2 153 170 Search in Google Scholar

Prakash J., Kumar R., Kumari K. (2017a), Thermal convection in a ferromagnetic fluid layer with magnetic field dependent viscosity: A correction applied, Studia Geotech. et Mech. 39(3), 39–46. PrakashJ. KumarR. KumariK. 2017a Thermal convection in a ferromagnetic fluid layer with magnetic field dependent viscosity: A correction applied Studia Geotech. et Mech. 39 3 39 46 10.1515/sgem-2017-0028 Search in Google Scholar

Rahman, H., and Suslov S.A. (2015), Thermomagnetic convection in a layer of ferrofluids placed in a uniform oblique external magnetic field, J. Fluid Mech. 764, 316–348. RahmanH. SuslovS.A. 2015 Thermomagnetic convection in a layer of ferrofluids placed in a uniform oblique external magnetic field J. Fluid Mech. 764 316 348 10.1017/jfm.2014.709 Search in Google Scholar

Rosensweig R.E., Zahn M., Volger T. (1978), Stabilization of fluid penetration through a porous medium using magnetisable fluids, in: Thermomechanics of magnetic fluids (Ed. B. Berkovsky), Hemisphere, Washington, DC, 195–211. RosensweigR.E. ZahnM. VolgerT. 1978 Stabilization of fluid penetration through a porous medium using magnetisable fluids in: Thermomechanics of magnetic fluids Ed. BerkovskyB. Hemisphere Washington, DC 195 211 Search in Google Scholar

Rosensweig. R. E. (1985), Ferrohydrodynamics, Cambridge University Press, Cambridge. RosensweigR. E. 1985 Ferrohydrodynamics Cambridge University Press Cambridge Search in Google Scholar

Sekar. R. and Vaidyanathan G. (1993), Convective instability of a magnetized ferrofluid in a rotating porous medium, Int. J. Eng. Sci. 31, 1139–1150. SekarR. VaidyanathanG. 1993 Convective instability of a magnetized ferrofluid in a rotating porous medium Int. J. Eng. Sci. 31 1139 1150 10.1016/0020-7225(93)90087-B Search in Google Scholar

Sekar R., Vaidyanathan G., Ramanathan A. (1993), The ferroconvection in fluids saturating a rotating densely packed porous medium, Int. J. Eng. Sci. 13, 241–250. SekarR. VaidyanathanG. RamanathanA. 1993 The ferroconvection in fluids saturating a rotating densely packed porous medium Int. J. Eng. Sci. 13 241 250 10.1016/0020-7225(93)90037-U Search in Google Scholar

Sekar R., Vaidyanathan G., Ramanathan A. (1996), Ferroconvection in an anisotropic porous medium, Int. J. Engng. Sci. 34(4), 399–405. SekarR. VaidyanathanG. RamanathanA. 1996 Ferroconvection in an anisotropic porous medium Int. J. Engng. Sci. 34 4 399 405 10.1016/0020-7225(95)00113-1 Search in Google Scholar

Sekar R., Vaidyanathan G., Ramanathan A. (2000), Effect of rotation on ferrothermohaline convection, J. Magn. Magn. Mater. 218, 266–272. SekarR. VaidyanathanG. RamanathanA. 2000 Effect of rotation on ferrothermohaline convection J. Magn. Magn. Mater. 218 266 272 10.1016/S0304-8853(00)00358-9 Search in Google Scholar

Sekar R., Raju K., Vasanthakumari R. (2013), A linear analytical study on Soret-driven ferrothermohaline convection in an anisotropic porous medium, J. Magn. Magn. Mater. 331, 122–128. SekarR. RajuK. VasanthakumariR. 2013 A linear analytical study on Soret-driven ferrothermohaline convection in an anisotropic porous medium J. Magn. Magn. Mater. 331 122 128 10.1016/j.jmmm.2012.10.028 Search in Google Scholar

Sekar, R. and Raju K. (2015), Effect of sparse distribution pores in thermohaline convection in a micropolar ferromagnetic fluid, J. Appl. Fluid Mech., 8(4), 899–910. SekarR. RajuK. 2015 Effect of sparse distribution pores in thermohaline convection in a micropolar ferromagnetic fluid J. Appl. Fluid Mech. 8 4 899 910 10.18869/acadpub.jafm.67.223.23735 Search in Google Scholar

Sekar R., and Murugan D. (2018), Stability analysis of ferrothermohaline convection in a Darcy porous medium with Soret and MFD viscosity effects, Tecnica Italiana-Ita. J. Engng. Sci. 61+1(2), 151–161. SekarR. MuruganD. 2018 Stability analysis of ferrothermohaline convection in a Darcy porous medium with Soret and MFD viscosity effects Tecnica Italiana-Ita. J. Engng. Sci. 61+1 2 151 161 10.18280/ti-ijes.620214 Search in Google Scholar

Shliomis M. I. (1974), Magnetic Fluids, Sov. Phys. Uspekhi, 17, 153–169. ShliomisM. I. 1974 Magnetic Fluids Sov. Phys. Uspekhi. 17 153 169 10.1070/PU1974v017n02ABEH004332 Search in Google Scholar

Sunil, Bharti P.K., Sharma R.C. (2004), Thermosolutal convection in ferromagnetic fluid, Arch. Mech., 56(2), 117–135. SunilBharti P.K. SharmaR.C. 2004 Thermosolutal convection in ferromagnetic fluid Arch. Mech. 56 2 117 135 Search in Google Scholar

Sunil, Divya, and Sharma R.C. (2004a), Effect of rotation on ferromagnetic fluid heated and soluted from below saturating a porous medium, J. Geophys. Eng., 1, 116–127. SunilDivya SharmaR.C. 2004a Effect of rotation on ferromagnetic fluid heated and soluted from below saturating a porous medium J. Geophys. Eng. 1 116 127 10.1088/1742-2132/1/2/003 Search in Google Scholar

Vaidyanathan G., Sekar R., Balasubramanian R. (1991), Ferroconvective instability of fluids saturating a porous medium, Int. J. Engng. Sci., 29, 1259–1267. VaidyanathanG. SekarR. BalasubramanianR. 1991 Ferroconvective instability of fluids saturating a porous medium Int. J. Engng. Sci. 29 1259 1267 10.1016/0020-7225(91)90029-3 Search in Google Scholar

Vaidyanathan G., Sekar R., Ramanathan A. (1995), Ferro thermohaline convection in a porous medium, J. Magn. Magn. Mater. 149, 137–142. VaidyanathanG. SekarR. RamanathanA. 1995 Ferro thermohaline convection in a porous medium J. Magn. Magn. Mater. 149 137 142 10.1016/0304-8853(95)00356-8 Search in Google Scholar

Vaidyanathan G., Sekar R., Ramanathan A. (1997), Ferrothermohaline convection, J. Magn. Magn. Mater. 176, 321–330. VaidyanathanG. SekarR. RamanathanA. 1997 Ferrothermohaline convection J. Magn. Magn. Mater. 176 321 330 10.1016/S0304-8853(97)00468-X Search in Google Scholar

eISSN:
2083-831X
Language:
English
Publication timeframe:
4 times per year
Journal Subjects:
Geosciences, other, Materials Sciences, Composites, Porous Materials, Physics, Mechanics and Fluid Dynamics