Volume No. :   9

Issue No. :  1

Year :  2017

ISSN Print :  0975-4393

ISSN Online :  2349-2988


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Limitations to the Growth Rate of Perturbation in Rotatory Convection in Couple-Stress Fluid in the presence of Magnetic Field



Address:   Monika Khanna1, Ajaib S. Banyal2
1Department of Mathematics, Govt. College Amb, Dist. Una, (HP) INDIA
2Department of Mathematics, Govt. College Nadaun, Dist. Hamirpur, (HP) INDIA
*Corresponding Author
DOI No: 10.5958/2349-2988.2017.00007.9

ABSTRACT:
The thermal instability of a couple-stress fluid acted upon by uniform vertical magnetic field and rotation heated from below is investigated. Following the linearized stability theory and normal mode analysis, the paper through mathematical analysis of the governing equations of couple-stress fluid convection with a uniform vertical magnetic field and rotation, for the case of rigid boundaries shows that the complex growth rate of oscillatory perturbations, neutral or unstable for all wave numbers, must lie inside a semi-circle in the right half of a complex -plane, where Q is the Chandrasekhar number, is the Taylor number, and F is the couple-stress parameter, which prescribes the upper limits to the complex growth rate of arbitrary oscillatory motions of growing amplitude in a rotatory couple-stress fluid in porous medium heated from below.
KEYWORDS:
Thermal convection; Couple-Stress Fluid; Rotation; Magnetic Field; PES; Chandrasekhar number; Taylor number. MSC 2000 No.: 76A05, 76E06, 76E15; 76E07.
Cite:
Monika Khanna, Ajaib S. Banyal. Limitations to the Growth Rate of Perturbation in Rotatory Convection in Couple-Stress Fluid in the presence of Magnetic Field. Research J. Science and Tech. 2017; 9(1):41-47.
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