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, Kaka [1 ]
Thakur, Jitender [1 ]
Kumar, Pankaj [1 ]
Prakash, Jyoti [1 ]
机构：
[1] Himachal Pradesh Univ, Dept Math & Stat, Summer Hill 171005, Shimla, India
来源：
SPECIAL TOPICS & REVIEWS IN POROUS MEDIA-AN INTERNATIONAL JOURNAL | 2021年 / 12卷 / 03期
关键词：
ferrofluid; ferrothermohaline convection; magnetic-field-dependent viscosity; Darcy model; FERROMAGNETIC CONVECTION; HEAT-TRANSFER; NATURAL-CONVECTION; THERMOHALINE CONVECTION; NANOFLUID; CAVITY; LAYER; INSTABILITY; FLUID; ONSET;
D O I：
10.1615/SpecialTopicsRevPorousMedia.2021033873
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
It is proved analytically that the complex growth rate omega = omega(r) + i omega(i) (omega(r) and omega(i) are respectively the real and imaginary parts of omega) 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 omega(r)omega(i) plane whose center is at the origin and radius = root epsilon Rs[1 - M'(1)(1 - 1/M-s)]/P-s, where R-s is the concentration Rayleigh number, epsilon is the porosity of the medium, P-s is the solutal Prandtl number, M'(1) is the ratio of magnetic flux due to concentration fluctuation to the gravitational force, and M-5 is the ratio of concentration effect on magnetic field to pyromagnetic coefficient. Bounds for the case of rigid boundaries are also derived separately.
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页码：89 / 104
页数：16
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