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ISSN: 1091-028X Print
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DOI: 10.1615/JPorMedia.v10.i5
Pages: 105
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DOI: 10.1615/JPorMedia.v10.i5.10
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Article price - $35.00 |
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Effect of Combined Brinkman-Electric Boundary Layer on the Onset of Marangoni Electroconvection in a Poorly Conducting Fluid-Saturated Porous Layer Cooled from Below in the Presence of an Electric Field
N. Rudraiah
National Research Institute for Applied Mathematics, 492/G, 7th Cross, 7th Block (West), Jayanagar, Bangalore 560 082, and UGC-DSA Centre in Fluid Mechanics, Department of Mathematics, Bangalore University, Bangalore 560 001, India
T. Masuoka
The University of Kitakyushu, and Department of Mechanical Engineering, Kyushu University, Kyushu, Japan
Premini Nair
Department of Mathematics, Mount Carmel College, Bangalore 560 052, India
ABSTRACT
The effect of Brinkman-electric boundary layer on the onset of electroconvection driven by the electric force and surface tension gradient, in a thin horizontal Poorly electrically conducting, fluid-saturated, sparsely packed porous layer bounded by adiabatic free boundaries is studied. The energy method combined with single term Galerkin expansion technique is shown to be convenient and useful to determine eigenvalues. The convergence of the result obtained by Galerkin technique is checked by comparing the result with those obtained using a regular perturbation technique. We found that the single-term Galerkin expansion is accurate only for small values of the combined porous and electric parameter d1. The effect of large values of d1 on the onset of Marangonielectroconvection is determined using the method of matched asymptotic expansion. The effect of boundary layer that exists for large values of d1 is shown to increase the critical Marangoni number by an amount of 2d1 compared to that for small values of d1. The results obtained are useful in the manufacture of smart materials of nanonstructure free from impurities.
pages 421-434
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