Journal :   International Journal of Technology

Volume No. :   5

Issue No. :  1

Year :  2015

Pages :   41-49

ISSN Print :  2231-3907

ISSN Online :  2231-3915


Registration

Allready Registrered
Click to Login

Upper Limits to the Complex growth Rate in Rotatory-Thermal Instability in a Couple-Stress Fluid in a Porous Medium



Address:   Monika Khanna1, Ajaib S. Banyal2*
1Research Scholar, Department of Mathematics, Singhania University, Jhunjhunu, (Raj.) India
2Department of Mathematics, Govt. College Nadaun, Dist. Hamirpur, (HP) India 177033
*Corresponding Author
DOI No:

ABSTRACT:
The thermal instability of a couple-stress fluid acted upon by uniform vertical rotation and heated from below in a porous medium 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 rotation in porous medium, 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 is the Taylor number, is the dimensionless medium permeability of the porous medium 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. Further, It is established that the existence of oscillatory motions of growing amplitude in the present configuration, depends crucially upon the magnitude of the non-dimensional number, in the sense so long as, no such motions are possible, and in particular PES is valid.
KEYWORDS:
Thermal convection; Couple-Stress Fluid; Rotation; PES; Taylor number.
Cite:
. Upper Limits to the Complex growth Rate in Rotatory-Thermal Instability in a Couple-Stress Fluid in a Porous Medium. Int. J. Tech. 5(1): Jan.-June 2015; Page 41-49
[View HTML]      [View PDF]



Visitor's No. :   105264