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International Journal of Fluid Mechanics Research
ESCI SJR: 0.206 SNIP: 0.446 CiteScore™: 0.9

ISSN Imprimer: 2152-5102
ISSN En ligne: 2152-5110

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International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.v36.i2.60
pages 166-179

Electrohydrodynamic Rayleigh - Taylor Instability in a Poorly Conducting Fluid Layer Bounded Above by a Nanostructured Porous Layer

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
Krishna B. Chavaraddi
UGC-Centre for Advanced Studies in Fluid Mechanics, Department of Mathematics, Bangalore University, Bangalore-560 001, India

RÉSUMÉ

Electrohydrodynamic Rayleigh - Talyor instability (ERTI) at the interface region between a thin poorly conducting incompressible viscous fluid saturated nanostructured porous layer and a poorly conducting fluid layer in the presence of a non-uniform electric field is investigated using linear stability analysis. A simple theory based on electrohydrodynamic approximations and Saffman slip condition is proposed. An analytical expression for dispersion relation is derived in the form of n = nbβlνa, where n is the growth rate and βlνa is the effect of compression. It is shown that the porous lining and transverse electric field control the growth rate of ERTI depending on whether the applied electric field is opposing or aligning the direction of gravity. In particular, we found that n tends to zero for equipartition of energy (i. e., Weber number We = 1).


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