年間 12 号発行
ISSN 印刷: 1091-028X
ISSN オンライン: 1934-0508
Indexed in
ELECTROHYDRODYNAMIC INSTABILITY CONDITIONS FOR TWO SUPERPOSED DIELECTRIC BOUNDED FLUIDS STREAMING WITH FINE DUST INA POROUS MEDIUM
要約
The electrohydrodynamic Kelvin-Helmholtz instability of the plane interface between two uniform superposed dielectric fluids of finite depths permeated with suspended particles through a porous medium is considered under the influence of general applied horizontal or vertical (in the absence and presence of surface charges) electric fields. Applying appropriate boundary conditions, the corresponding dispersion relations are obtained in these cases. Using a novel technique, the stability conditions are derived, separately, and some limiting cases are recovered. The maximum growth rates and corresponding critical dominant wavenumbers are discussed in detail if the two fluids are bounded or not, and also in the absence or presence of surface charges. It is found that the horizontal electric field, porosity of a porous medium, and surface tensions have stabilizing effects, while the vertical electric fields and fluid velocities have destabilizing effects. Also, the fluid viscosities are found to have stabilizing as well as destabilizing effects, and the medium permeability has an opposite effect, while the number densities of suspended particles have no effect on the stability of the considered system.
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El-Sayed M. F., Moussa M. H. M., Hassan A. A. A., Hafez N. M., Electrohydrodynamic Instability of Two Thin Viscous Leaky Dielectric Fluid Films in a Porous Medium, ISRN Applied Mathematics, 2011, 2011. Crossref
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El-Sayed M.F., Moussa M.H.M., Hassan A.A.A., Hafez N.M., Stability of Viscoelastic Fluid Flowing Through Porous Medium Down Non-uniformly Heated Inclined Plane, Heat Transfer-Asian Research, 44, 2, 2015. Crossref