An electroconvection in a horizontal dielectric fluid saturated with a densely packed porous layer is investigated under the simultaneous action of vertical electric field and vertical temperature gradient when the walls of the layer are subjected to time periodic temperature modulation. The dielectric constant is assumed to be a linear function of temperature. A regular perturbation method based on small amplitude of applied temperature field is used to compute the critical values of Rayleigh number and wave number. The shift in the critical Rayleigh number is calculated as a function of frequency of modulation, electric Rayleigh number, Prandtl number, and Darcy number, and their effects on the critical Rayleigh number are discussed. The situations which are favorable for the design of artificial organs without the side effect of hemolysis are explained.
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Effect of Thermal Modulation on the Onset of Electrothermoconvection in a Dielectric Fluid Saturated Porous Medium
N. Rudraiah,
e-mail: rudraiahn@hotmail.com
N. Rudraiah
National Research Institute for Applied Mathematics
, 492/G, 7th Cross, 7th Block (West), Jayanagar, Bangalore 560 070, Karnataka, India; Department of Mathematics, UGC Centre for Advanced Studies in Fluid Mechanics, Central College Campus, Bangalore University
, Bangalore 560 001, Karnataka, India
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M. S. Gayathri
M. S. Gayathri
Department of Mathematics,
e-mail: gayathrinaren@gmail.com
BMS College of Engineering
, Basavanagudi, Bangalore 19, Karnataka, India
Search for other works by this author on:
N. Rudraiah
National Research Institute for Applied Mathematics
, 492/G, 7th Cross, 7th Block (West), Jayanagar, Bangalore 560 070, Karnataka, India; Department of Mathematics, UGC Centre for Advanced Studies in Fluid Mechanics, Central College Campus, Bangalore University
, Bangalore 560 001, Karnataka, Indiae-mail: rudraiahn@hotmail.com
M. S. Gayathri
Department of Mathematics,
BMS College of Engineering
, Basavanagudi, Bangalore 19, Karnataka, Indiae-mail: gayathrinaren@gmail.com
J. Heat Transfer. Oct 2009, 131(10): 101009 (7 pages)
Published Online: July 31, 2009
Article history
Received:
August 27, 2008
Revised:
March 12, 2009
Published:
July 31, 2009
Citation
Rudraiah, N., and Gayathri, M. S. (July 31, 2009). "Effect of Thermal Modulation on the Onset of Electrothermoconvection in a Dielectric Fluid Saturated Porous Medium." ASME. J. Heat Transfer. October 2009; 131(10): 101009. https://doi.org/10.1115/1.3180709
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