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Research Papers

Effect of Thermal Modulation on the Onset of Electrothermoconvection in a Dielectric Fluid Saturated Porous Medium

[+] Author and Article Information
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, Indiarudraiahn@hotmail.com

M. S. Gayathri

Department of Mathematics, BMS College of Engineering, Basavanagudi, Bangalore 19, Karnataka, Indiagayathrinaren@gmail.com

J. Heat Transfer 131(10), 101009 (Jul 31, 2009) (7 pages) doi:10.1115/1.3180709 History: Received August 27, 2008; Revised March 12, 2009; Published July 31, 2009

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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Copyright © 2009 by American Society of Mechanical Engineers
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Figures

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Figure 1

Physical configuration

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Figure 2

Variation in Ra2 with ω for the case of symmetric temperature modulation

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Figure 3

Variation in Ra2 with ω for the case of asymmetric temperature modulation

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Figure 4

Variation in Ra2 with ω for the case of lower wall temperature modulation

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Figure 5

Variation in Ra2 with ω for different values of Da

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