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Energy stability of Benard-Darcy two-component convection of Maxwell fluid

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Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Energy stability of a horizontal layer of a two-component Maxwell fluid in a porous medium heated and salted from below is studied under the Oberbeck-Boussinesq-Darcy approximation using the Lyapunov direct method. The effect of stress relaxation on the linear and non-linear critical stability parameters is clearly brought out with coincidence between the two when the solute concentration is dilute. Qualitatively, the result of porous and clear fluid cases is shown to be similar. In spite of lack of symmetry in the problem it is shown that non linear exponential stability can be handled.
Rocznik
Strony
125--135
Opis fizyczny
Bibliogr. 24 poz.
Twórcy
autor
  • Department of Mathematics, Art and Science Faculty Ondokuz Mayis University 55139 Atakum/Samsun-TURKEY
autor
  • Department of Mathematics, Art and Science Faculty Ondokuz Mayis University 55139 Atakum/Samsun-TURKEY
  • Bangalore University, Central College Campus Bangalore 560 001, INDIA
Bibliografia
  • Alloui Z., Vasseur P., Robillard L. and Bahloul A. (2010): Onset of double-diffusive convection in a horizontalBrinkman cavity. - Chemical Engineering Communications, vol.197, pp.387-399.
  • Awad F.G., Sibanda P. and Motsa S.S. (2010): On the linear stability analysis of a Maxwell fluid with double-diffusiveconvection. - Applied Mathematical Modelling, vol.34, pp.3509-3517.
  • Bejan A. (2004): Convection Heat Transfer. - New Jersey: John Wiley and Sons.
  • Fu C., Zhang Z. and Tan W. (2007): Numerical simulation of thermal convection of a viscoelastic fluid in a poroussquare box heated from below. - Physics of Fluids, vol.19, 104-107.
  • Haro M.L., Rio J.A.P. and Whitaker S. (1996): Flow of Maxwell fluid in porous media. - Transport in Porous Media 25, pp.167-192.
  • Kim M.S., Lee S.B., Kim S. and Chung B.J. (2003): Thermal instability of viscoelastic fluids in porous media. - Int. J. Heat and Mass Transfer, vol.46, pp.5065-5072.
  • Kumar P. and Singh M. (2006): On a viscoelastic fluid heated from below in a porous medium. - Journal of Non- Equilibrium Thermodynamics, vol.31, No.2, pp.189-203.
  • Lombardo S., Mulone G. and Straughan B. (2001): Non-linear stability in the Benard problem for double-diffusivemixture in a porous medium. - Mathematical Methods in the Applied Sciences, Math. Meth. Appl. Sci., vol.24, pp.1229-1246.
  • Long J.S., Chen J.H., Chen H.K., Tam L.M. and Chao Y.C. (2009): A unified system describing dynamics of chaoticconvection. - Chaos, Solitons and Fractals, vol.41, pp.123-130.
  • Long J.S., Tam L.M., Chen J.H., Chen H.K., Lin K.T. and Yuan Kang (2008): Chaotic convection of viscoelastic fluidsin porous media. - Chaos, Solitons and Fractals, vol.37, pp.113-124.
  • Malashetty M.S. and Kulkarni S. (2009): The convective instability of Maxwell fluid-saturated porous layer using athermal non-equilibrium model. - J. Non-Newtonian Fluid Mech., vol.162, pp.29-37.
  • Malashetty M.S., Swamy M. and Heera R. (2009): The onset of convection in a binary viscoelastic fluid saturatedporous layer. - ZAMM. Z. Angew. Math. Mech., vol.89, No.5, pp.356-369.
  • Malashetty M.S., Tan W. and Swamy M. (2009): The onset of double diffusive convection in a binary viscoelastic fluidsaturated anisotropic porous layer. - Physics of Fluids, vol.21, pp.084101.
  • Mulone G. and Rionero S. (1998): Unconditional nonlinear exponential stability in the Benard problem for a mixture:necessary and sufficient conditions. - Rendiconti Mat. Acc. Lincei, series 9, 9, pp.221-236.
  • Nield D.A. and Bejan A. (2006): Convection in Porous Media. - New York: Springer-Verlag.
  • Sharma R.C. and Sunil (1994): Thaermal instability of Oldroydian viscoelastic fluid with suspended particles inhydromagnetics in porous medium. - Polymer-Plastics Technology and Engineering, vol.33, No.3.
  • Shivakumara I.S. and Sureshkumar S. (2008): Effect of throughflow and quadratic drag on the stability of a doublydiffusive Oldroyd-B fluid-saturated porous layer. - J. Geophys. Eng., vol.5, pp.268-280.
  • Siddheshwar P.G. and Sri Krishna C.V. (2001): Rayleigh -Benard convection in a viscoelastic fluid-filled high-porositymedium with non uniform basic temperature gradient. - IJMMS, vol.25, No.9, pp.609-619.
  • Siddheshwar P.G. and Sri Krishna C.V. (2003): Linear and non - linear analyses of convection in a micropolar fluidoccupying a porous medium. - Int. J. Nonlinear Mech., vol.38, pp.1561-1579.
  • Sri Krishna C.V. (2001): Effects of non-inertial acceleration on the onset of convection in a second-order fluidsaturatedporous medium. - International Journal of Engineering Science, vol.39, pp.599-609.
  • Tan W.C. and Masouka T. (2007): Stability analysis of Maxwell fluid in a porous medium heated from below. - Phys. Lett. A 360, pp.454-460.
  • Vafai K. (Ed.) (2000): Handbook of Porous Media. - New York: Marcel Dekker.
  • Wang S. and Tan W.C. (2008): Stability analysis of double-diffusive convection of Maxwell fluid in a porous mediumheated from below. - Phys Lett. A 372, pp.3046-3050.
  • Wang S. and Tan W. (2011): Stability analysis of Soret-driven double-diffusive convection of Maxwell fluid in a porousmedium. - International Journal of Heat and Fluid Flow, vol.32, pp.88-94.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-36637333-a47d-4d56-91ba-1c23a1538d7c
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