Thermal instability in an electrically conducting fluid saturated porous medium, confined between two horizontal walls, has been investigated in the presence of an applied vertical magnetic field and rotation, using the Brinkman model. The temperature gradient between the walls of the fluid layer consists of a steady part and a time-dependent oscillatory part. Only infinitesimal disturbances are considered. The combined effect of permeability, rotation, vertical magnetic field, and temperature modulation has been investigated using Galerkin’s method and Floquet theory. The value of the critical Rayleigh number is calculated as function of amplitude and frequency of modulation, Chandrasekhar number, Taylor number, porous parameter, Prandtl number, and magnetic Prandtl number. It is found that rotation, magnetic field, and porous medium all have a stabilizing influence on the onset of thermal instability. Further, it is also found that it is possible to advance or delay the onset of convection by proper tuning of the frequency of modulation of the walls’ temperature. In addition the results corresponding to the Brinkman model and Darcy model have been compared for neutral instability.
Skip Nav Destination
Article navigation
Technical Papers
Magnetofluidconvection in a Rotating Porous Layer Under Modulated Temperature on the Boundaries
B. S. Bhadauria
B. S. Bhadauria
Department of Mathematics and Statistics,
Jai Narain Vyas University
, Jodhpur-342005, India
Search for other works by this author on:
B. S. Bhadauria
Department of Mathematics and Statistics,
Jai Narain Vyas University
, Jodhpur-342005, IndiaJ. Heat Transfer. Jul 2007, 129(7): 835-843 (9 pages)
Published Online: July 12, 2006
Article history
Received:
February 13, 2006
Revised:
July 12, 2006
Citation
Bhadauria, B. S. (July 12, 2006). "Magnetofluidconvection in a Rotating Porous Layer Under Modulated Temperature on the Boundaries." ASME. J. Heat Transfer. July 2007; 129(7): 835–843. https://doi.org/10.1115/1.2712851
Download citation file:
Get Email Alerts
Cited By
Entropic Analysis of the Maximum Output Power of Thermoradiative Cells
J. Heat Mass Transfer
Molecular Dynamics Simulations in Nanoscale Heat Transfer: A Mini Review
J. Heat Mass Transfer
Related Articles
Thermovibrational Instability in a Fluid Saturated Anisotropic Porous Medium
J. Heat Transfer (May,2011)
Combined Effect of Temperature Modulation and Magnetic Field on the Onset of Convection in an Electrically Conducting-Fluid-Saturated Porous Medium
J. Heat Transfer (May,2008)
The Impact of Normal Magnetic Fields on Instability of Thermocapillary Convection in a Two-Layer Fluid System
J. Heat Transfer (June,2009)
Effects of a Magnetic Modulation on the Stability of a Magnetic Liquid Layer Heated From Above
J. Heat Transfer (June,2001)
Related Proceedings Papers
Related Chapters
Numerical Simulation for Nature Convection Heat Transfer of Liquid Metal Flow with Fusion Magnetic Fields
Inaugural US-EU-China Thermophysics Conference-Renewable Energy 2009 (UECTC 2009 Proceedings)
Completing the Picture
Air Engines: The History, Science, and Reality of the Perfect Engine
Extended Surfaces
Thermal Management of Microelectronic Equipment, Second Edition