Suscripción a Biblioteca: Guest
Portal Digitalde Biblioteca Digital eLibros Revistas Referencias y Libros de Ponencias Colecciones
Journal of Porous Media
Factor de Impacto: 1.752 Factor de Impacto de 5 años: 1.487 SJR: 0.43 SNIP: 0.762 CiteScore™: 2.3

ISSN Imprimir: 1091-028X
ISSN En Línea: 1934-0508

Volumes:
Volumen 23, 2020 Volumen 22, 2019 Volumen 21, 2018 Volumen 20, 2017 Volumen 19, 2016 Volumen 18, 2015 Volumen 17, 2014 Volumen 16, 2013 Volumen 15, 2012 Volumen 14, 2011 Volumen 13, 2010 Volumen 12, 2009 Volumen 11, 2008 Volumen 10, 2007 Volumen 9, 2006 Volumen 8, 2005 Volumen 7, 2004 Volumen 6, 2003 Volumen 5, 2002 Volumen 4, 2001 Volumen 3, 2000 Volumen 2, 1999 Volumen 1, 1998

Journal of Porous Media

DOI: 10.1615/JPorMedia.v16.i6.40
pages 527-536

BOUNDS FOR THE GROWTH RATE OF PERTURBATION IN A COUPLE-STRESS FLUID IN THE PRESENCE OF ROTATION AND MAGNETIC FIELD IN A POROUS MEDIUM

Ajaib S. Banyal
Department of Mathematics, Govt. College Nadaun, Dist. Hamirpur, (HP) India 177033
Monika Khanna
Department of Mathematics, Govt. College Dehri, Dist. Kangra, (HP) India 176022

SINOPSIS

A layer of couple-stress fluid heated from below in a porous medium is considered in the presence of uniform vertical magnetic field and rotation. 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 in porous medium, for any combination of perfectly conducting free and rigid boundaries of infinite horizontal extension at the top and bottom of the fluid, established that the complex growth rate о of oscillatory perturbations, neutral or unstable for all wave numbers, must lie inside a semi-ring enclosed by the two semi-circles of radii, ε/2 { Q − √(Q2 + 4TA )} and ε/2 { Q + √(Q2 + 4TA )}, in the right half of the σr−σi plane whose centers are at the origin, where TA is the Taylor number, Q is the Chandrasekhar number, and ε is the porosity of the porous medium. Further, it has been established that the sufficient condition for the validity of the "principle of exchange of stability" in magneto-rotatory thermal convection in a couple-stress fluid in a porous medium is that Q/√(Q2 + 4TA) ≤ 1, and that the existence of oscillatory motions of growing amplitude in the present configuration depends crucially upon the magnitude of the nondimensional number Q/√(Q2 + 4TA), in the sense so long as 0<Q/(√(Q2 +4TA)) ≤ 1, no such motions are possible, and in particular principle of exhange of stability (PES) is valid.


Articles with similar content:

Effect of Permeability on Steady Flow in a Dendrite Layer
Journal of Porous Media, Vol.9, 2006, issue 2
Daniel N. Riahi
On arresting the Complex Growth Rates in Magnetohydrodynamic Triply Diffusive Convection
International Journal of Fluid Mechanics Research, Vol.42, 2015, issue 5
Renu Bala, Jyoti Prakash, Kanu Vaid
The Necessary Condition for the Onset of Stationary Convection in Couple-Stress Fluid
International Journal of Fluid Mechanics Research, Vol.38, 2011, issue 5
Ajaib S. Banyal
Onset of Soret-driven convection in porous medium under vertical vibration
International Heat Transfer Conference 12, Vol.26, 2002, issue
Mejdi Azaiez, Marie-Catherine Charrier-Mojtabi, Olivier Sovran, Abdelkader Mojtabi
NUMERICAL STUDIES OF MIXED CONVECTION FLOWS IN THE ANNULUS BETWEEN VERTICAL CONCENTRIC CYLINDERS WITH ROTATING INNER CYLINDER
International Heat Transfer Conference 8, Vol.2, 1986, issue
Kenneth S. Ball, Bakhtier Farouk