ON THE COMPLEX GROWTH RATE OF A PERTURBATION IN FERROTHERMOHALINE CONVECTION WITH MAGNETIC-FIELD-DEPENDENT VISCOSITY IN A DENSELY PACKED POROUS MEDIUM

被引：1

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.

引用

页码：89 / 104

页数：16

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