Library Subscription: Guest
Begell Digital Portal Begell Digital Library eBooks Journals References & Proceedings Research Collections
Journal of Porous Media
IF: 1.752 5-Year IF: 1.487 SJR: 0.43 SNIP: 0.762 CiteScore™: 2.3

ISSN Print: 1091-028X
ISSN Online: 1934-0508

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

Journal of Porous Media

DOI: 10.1615/JPorMedia.v12.i7.50
pages 667-682

A Nonlinear Stability Analysis for Thermoconvective Magnetized Ferrofluid with Magnetic-Field-Dependent Viscosity Saturating a Porous Medium

Sunil
Department of Mathematics, National Institute of Technology, Hamirpur, (H.P.) 177005, India
Poonam Sharma
Department of Applied Sciences, National Institute of Technology, Hamirpur, 177 005, India
Amit Mahajan
Department of Applied Sciences, National Institute of Technology, Hamirpur, 177 005, India; Department of Mathematics and Statistics, University of Windsor, Windsor, Ontario, N9B3P4, Canada

ABSTRACT

A nonlinear stability analysis of a magnetized ferrofluid with magnetic-field-dependent (MFD) viscosity heated from below, saturating a porous medium for the case of stress-free boundaries, is studied by a generalized energy method. A rigorous nonlinear stability result is derived by introducing a suitable generalized energy functional. The mathematical emphasis is on how to control the nonlinear terms caused by magnetic body and inertia forces. It is found that the nonlinear critical stability magnetic thermal Rayleigh number does not coincide with that of the linear one, thus indicating that subcritical instabilities are possible. It is also observed that a subcritical region of instability can be induced by a magnetic mechanism alone. However, the global nonlinear stability Rayleigh number is found to be exactly the same as that for linear instability in the case of a non-ferrofluid. For lower magnetic parameter values, this coincidence is immediately lost. The effect of the magnetic parameter (M3), medium permeability (Da), and MFD viscosity (δ) on the subcritical instability region has also been analyzed. It is shown that with the increase of the magnetic parameter (M3) and Darcy number (Da), the subcritical instability region obtained by the two theories decreases, whereas with the increase of MFD viscosity δ, the subcritical instability region expands.


Articles with similar content:

A Nonlinear Stability Analysis of a Rotating Double-Diffusive Magnetized Ferrofluid Saturating a Porous Medium
Heat Transfer Research, Vol.40, 2009, issue 4
Sunil, Poonam Sharma, Amit Mahajan
NONLINEAR FERROCONVECTION IN A POROUS LAYER USING A THERMAL NONEQUILIBRIUM MODEL
Special Topics & Reviews in Porous Media: An International Journal, Vol.1, 2010, issue 2
Sunil, Poonam Sharma, Amit Mahajan
MHD Instability of Rotating Superposed Walters B′ Viscoelastic Fluids through a Porous Medium
Journal of Porous Media, Vol.9, 2006, issue 5
Pardeep Kumar, Roshan Lal, Gursharn Jit Singh
FERROMAGNETIC CONVECTION IN A SPARSELY DISTRIBUTED POROUS MEDIUM WITH MAGNETIC FIELD DEPENDENT VISCOSITY REVISITED
Journal of Porous Media, Vol.21, 2018, issue 8
Jyoti Prakash, Shweta Manan, Pankaj Kumar
Effect of Magnetic-Field-Dependent Viscosity on a Rotating Ferromagnetic Fluid Heated and Soluted from Below, Saturating a Porous Medium
Journal of Porous Media, Vol.8, 2005, issue 6
Sunil, R. C. Sharma, Divya