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Title: Viscous potential flow analysis of electrified miscible finitely conducting fluid through porous media

Journal Article · · Physics of Plasmas
DOI:https://doi.org/10.1063/1.4798502· OSTI ID:22130415
 [1]
  1. Department of Mathematics, Faculty of Science, Assiut University, Assiut (Egypt)

In this work, a viscous potential flow analysis is used to investigate capillary surface waves between two horizontal finite fluid layers. The two layers have finite conductivities and admit mass and heat transfer. A general dispersion relation is derived. The presence of finite conductivities together with the dielectric permeabilities makes the horizontal electric field play a dual role in the stability criterion. The phenomenon of negative viscosity is observed. A new growth rate parameter, depending on the kinematical viscosity of the lower fluid layer, is found and has a stabilizing effect on the unstable modes. The growth rates and neutral stability curve are given and applied to air-water interface. The effects of various parameters are discussed for the Kelvin-Helmholtz and the Rayleigh-Taylor instabilities.

OSTI ID:
22130415
Journal Information:
Physics of Plasmas, Vol. 20, Issue 4; Other Information: (c) 2013 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 1070-664X
Country of Publication:
United States
Language:
English