On the complex growth rate of a perturbation in ferrothermohaline convection with magnetic-field-dependent viscosity in a densely packed porous medium

被引：0

作者：

Ram K. ^{[1
]}

Thakur J. ^{[1
]}

Kumar P. ^{[1
]}

Prakash J. ^{[1
]}

机构：

[1] Department of Mathematics and Statistics, Himachal Pradesh University, Summer Hill, Shimla

来源：

Special Topics and Reviews in Porous Media | 2021年 / 12卷 / 03期

关键词：

Darcy model; Ferrofluid; Ferrothermohaline convection; Magnetic-field-dependent viscosity;

D O I：

10.1615/SPECIALTOPICSREVPOROUSMEDIA.2021033873

中图分类号：

学科分类号：

摘要：

It is proved analytically that the complex growth rate ω = ωr + iωi (ωr and ωi are respectively the real and imaginary parts of ω) of an arbitrary oscillatory motion of growing amplitude in ferrothermohaline convection with magnetic-field-dependent viscosity in a densely packed porous medium for the case of free boundaries lies inside a semicircle in the right half of the ωr ωi plane whose center is at the origin and radius = q εRs [1 − M1′ (1 − 1/M5)] /Ps, where Rs is the concentration Rayleigh number, ε is the porosity of the medium, Ps is the solutal Prandtl number, M1′ is the ratio of magnetic flux due to concentration fluctuation to the gravitational force, and M5 is the ratio of concentration effect on magnetic field to pyromagnetic coefficient. Bounds for the case of rigid boundaries are also derived separately. © 2021 by Begell House, Inc. www.begellhouse.com

引用

页码：89 / 104

页数：15

共 48 条

[1]

Alkasassbeh M., Omar Z., Mebarek-Oudina F., Raza J., Chamkha A., Heat Transfer Study of Convective Fin with Temperature-Dependent Internal Heat Generation by Hybrid Block Method, Heat Transf.-Asian Res, 48, 4, pp. 1225-1244, (2019)

[2]

Alsabery A.I., Ismael M.A., Chamkha A.J., Hashim I., Effect of Nonhomogeneous Nanofluid Model on Transient Natural Convection in a Non-Darcy Porous Cavity Containing an Inner Solid Body, Int. Commun. Heat Mass Transf, 110, (2020)

[3]

Banerjee M.B., Katoch D.C., Dube G.S., Banerjee K., Bounds for Growth Rate of Perturbation in Thermohaline Convection, Proc. Roy. Soc. London Ser. A, 378, pp. 301-304, (1981)

[4]

Dogonchi A.S., Tayebi T., Chamkha A.J., Ganji D.D., Natural Convection Analysis in a Square Enclosure with a Wavy Circular Heater under Magnetic Field and Nanoparticles, J. Therm. Anal. Calorim, 139, pp. 661-671, (2020)

[5]

Ekaterina D.V., Ekaterina A.E., Thermodynamic and Magnetic Properties of Ferrofluids in External Uniform Magnetic Field, J. Magn. Magn. Mater, 431, pp. 218-221, (2017)

[6]

Finlayson B.A., Convective Instability of Ferromagnetic Fluids, J. Fluid Mech, 40, pp. 753-767, (1970)

[7]

Ghahremannezhad A., Vafai K., Thermal and Hydraulic Performance Enhancement of Microchannel Heat Sinks Utilizing Porous Substrates, Int. J. Heat Mass Transf, 122, pp. 1313-1326, (2018)

[8]

Ghalambaz M., Mehryan S.A.M., Izadpanahi E., Chamkha A.J., Wen D., MHD Natural Convection of Cu–Al2O3 Water Hybrid Nanofluids in a Cavity Equally Divided into Two Parts by a Vertical Flexible Partition Membrane, J. Therm. Anal. Calorim, 138, 2, pp. 1723-1743, (2019)

[9]

Ghalambaz M., Chamkha A.J., Wen D., Natural Convective Flow and Heat Transfer of Nano-Encapsulated Phase Change Materials (NEPCMs) in a Cavity, Int. J. Heat Mass Transf, 138, pp. 738-749, (2019)

[10]

Ghalambaz M., Zadeh S.M.H., Mehryan S.A.M., Pop I., Wen D., Analysis of Melting Behavior of PCMs in a Cavity Subject to a Non-Uniform Magnetic Field Using a Moving Grid Technique, Appl. Math. Model, 77, 2, pp. 1936-1953, (2020)

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