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Double - diffusive electro-convection in aqueous solutions of polymeric liquids

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Języki publikacji
EN
Abstrakty
EN
The linear stability analysis of double-diffusive electroconvection in an aqueous- solution of a polymeric liquid is performed when a uniform DC electric field is applied. The polymeric liquid is assumed to be viscoelastic and the viscoelastic correction to the momentum equation is effected by considering the Jeffry constitutive equation. The eigenvalue at the onset of convection is obtained by employing the Rayleigh-Ritz technique for isothermal and isohaline boundary combination. The results of the study reveal that the strengths of the electric field and salinity delay the onset of convection. The classical results of the effect of the viscoelastic parameter on the onset of convection are found to be unaltered by the inducted electric field. The problem has industrial applications.
Rocznik
Strony
543--555
Opis fizyczny
Bibliogr. 14 poz., wykr.
Twórcy
Bibliografia
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  • Finlayson (1972): Method of Weighted Residuals. - London: Academic Press.
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  • Rajagopal K.R., Ruzicka. M. and Srinivasa A.R. (1996): On the Oberbeck-Boussinesq approximation. - Math Model Methods Appl.Sci., vol.6, pp.1157.
  • Sharma R.C. and Sunil (1994): Thermal instability of Oldroydian viscoelastic fluid with suspended particles in hydro magnetics in porous medium, polymer plastic. - Tech. and Sci., vol.33, No.3, pp.323.
  • Sharma R.C. and Kumar (1996): Thermal instability of an Oldroydian viscoelastic fluid in porous medium. - Polish Acc. Sci., vol.1, pp.99.
  • Siddheshwar P.G and Sri Krishna C.V. (2001): Rayleigh Benard convection in a viscoelastic fluid - filled high - porosity medium with non-cruciform basic temperature gradient. - Int. J. Math and Math. Sci, vol.25, pp.609.
  • Siddheshwar P.G and Srikrishna C.V (2002): Unsteady non-linear convection in a second - order fluid. - Int. J. Non-linear Mech., vol.37, pp.321.
  • Siddheshwar P.G and Srikrishna C.V (2003): Linear and non-linear analyses of convection in a Rivlin-Ericksen fluid saturated porous medium. - Int. J. Appl. Mech., and Engg., vol.04, pp.840.
  • Srikrishna C.V. (2001): Effect of non-inertial acceleration on the onset of convection in a second-order fluid saturated porous medium. - Int. J. Engng., Sci., vol 39, No.5, pp.599.
  • Siddheshwar P.G. and Srikrishna (2008): Effect of time - periodic modulation on convection in solutions of dilute polymeric liquids in a porous medium". - Int. J. Appl. Mech. Engg, vol.13, No.3, pp.753-780.
  • Vest C.M. and Arpaci V.S. (1969): Over stability of a viscoelastic fluid layer heated rom below. - J. Fluid Mech., vol.36, pp.613.
  • Yang H. and Farrington G.C. (1993): Poly (Ethylene Oxide) Electrolytes Containing Mixed Salts. - John Wiley and Sons, Inc.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ5-0017-0017
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