The effect of temperature modulation on the onset of thermal convection in an electrically conducting fluid-saturated-porous medium, heated from below, has been studied using linear stability analysis. The amplitudes of temperature modulation at the lower and upper surfaces are considered to be very small. The porous medium is confined between two horizontal walls and subjected to a vertical magnetic field; flow in porous medium is characterized by Brinkman–Darcy model. Considering only infinitesimal disturbances, and using perturbation procedure, the combined effect of temperature modulation and vertical magnetic field on thermal instability has been studied. The correction in the critical Rayleigh number is calculated as a function of frequency of modulation, Darcy number, Darcy Chandrasekhar number, magnetic Prandtl number, and the nondimensional group number . The influence of the magnetic field is found to be stabilizing. Furthermore, it is also found that the onset of convection can be advanced or delayed by proper tuning of the frequency of modulation. The results of the present model have been compared with that of Darcy model.
Skip Nav Destination
e-mail: drbsbhadauria@yahoo.com
Article navigation
Research Papers
Combined Effect of Temperature Modulation and Magnetic Field on the Onset of Convection in an Electrically Conducting-Fluid-Saturated Porous Medium
B. S. Bhadauria
B. S. Bhadauria
Department of Mathematics, Faculty of Science,
e-mail: drbsbhadauria@yahoo.com
Banaras Hindu University
, Varanasi 321005, India
Search for other works by this author on:
B. S. Bhadauria
Department of Mathematics, Faculty of Science,
Banaras Hindu University
, Varanasi 321005, Indiae-mail: drbsbhadauria@yahoo.com
J. Heat Transfer. May 2008, 130(5): 052601 (9 pages)
Published Online: April 10, 2008
Article history
Received:
December 11, 2006
Revised:
September 18, 2007
Published:
April 10, 2008
Citation
Bhadauria, B. S. (April 10, 2008). "Combined Effect of Temperature Modulation and Magnetic Field on the Onset of Convection in an Electrically Conducting-Fluid-Saturated Porous Medium." ASME. J. Heat Transfer. May 2008; 130(5): 052601. https://doi.org/10.1115/1.2885871
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
Magnetofluidconvection in a Rotating Porous Layer Under Modulated Temperature on the Boundaries
J. Heat Transfer (July,2007)
Stability and Convection in Impulsively Heated Porous Layers
J. Heat Transfer (November,2008)
Effect of Boundary Conditions on the Onset of Thermomagnetic Convection in a Ferrofluid Saturated Porous Medium
J. Heat Transfer (October,2009)
Effect of Thermal Modulation on the Onset of Electrothermoconvection in a Dielectric Fluid Saturated Porous Medium
J. Heat Transfer (October,2009)
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