Author(s):
Monika Khanna, Ajaib S. Banyal
Email(s):
khannamonika1501@gmail.com , ajaibbanyal@rediffmail.com
DOI:
10.5958/2349-2988.2017.00007.9 
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
Published In:
Volume - 9,
Issue - 1,
Year - 2017
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.
Cite this article:
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. doi: 10.5958/2349-2988.2017.00007.9
Cite(Electronic):
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. doi: 10.5958/2349-2988.2017.00007.9 Available on: https://rjstonline.com/AbstractView.aspx?PID=2017-9-1-7