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Rayleigh-Taylor instability in electrohydrodynamics bounded by rough surface in the presence of an electric field

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Języki publikacji
EN
Abstrakty
EN
The effects of slip due to roughness of nanostructured silicon, transverse time invariant but space variant electric field due to embedded electrodes and surface tension due to free surface on Rayleigh - Taylor instability (RTI) in electrohydrodynamics are investigated using a linear stability analysis. A simple theory based on considering a rough nanostructured silicon interface bounding a light poorly conducting liquid is proposed to find an analytical expression for the growth rate n of RTI, in the presence of suitably strong of electric field, in the form [...] is the cIassical growth rate in the absence of both electric field and roughness of the substrate [...] is the normal velocity, delta represents the effect of electric field, [...] the slip coefficient, [...] the wave number, B the Bond number and [...] will depend on whether the electric field is in the direction of gravity or opposing its direction. It is shown that the combined effect of electric field and roughness af the substrate is to reduce the growth rate of RTI considerably over the value it would have in the cIassical case.
Rocznik
Strony
183--196
Opis fizyczny
Bibliogr. 8 poz., wykr.
Twórcy
autor
  • UGC-Centre for Advanced Studies in Fluid Mechanics Departrnent of Mathematics, Bangalore University Bangalore - 560 001, INDIA National Research Institute for Applied Mathematics (NRlAM) 492/G, 7th Cross, 7th Block (West), Jayanagar, Bangalore - 560 0, rudraiahn@hotmail.com
Bibliografia
  • Babchin A.J., Frenkel A.L., Levich B.G. and Shivashinsky G.I. (1983): Nonlinear saturation of Rayleigh - Taylor instability in thin films. - Phys. Fluids, vol.26, pp.3159-3161.
  • Beavers G.S. and Joseph D.D. (1967): Boundary conditions at a naturally permeable wall. - J. of Fluid Mech., vol.30, pp.197-207.
  • Miksis M.J. and Davis S.H. (1994): Slip over rough and coated surfaces. - J. Fluid. Mech., vol.273, pp.125-139.
  • O'Bvien S.B.G. and Van Den Bure B.H. (1991): A mathematical model for the cleansing of silicon substrates by fluid immersion. - Colloid and Interface Science, vol.144, pp.210-221.
  • Richard Son S. (1971): A model for the boundary condition of a porous material Part II. - J. Fluid Mech., vol.49, pp.327-339.
  • Rudraiah N. (2003a): Effect of porous lining on reducing the growth rate of RTI in the IFE target. - Fusion Sci and Tech., vol.43, pp.1-5.
  • Rudraiah N. (2003b): Nonlinear convection in porous media. - J. of Porous Media, vol.6, No.1, pp.1-32.
  • Taylor G.I. (1971): A model for the boundary condition of a porous material Part I. - J. Fluid Mech., vol.49, pp.319-326.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ2-0028-0014
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