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Electrohydrodynamic instability of a rotating Walters’ (model B’) fluid in a porous medium: Brinkman model

Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In this study, the instability of Walters’ (model B’) viscoelastic fluid in a Darcy-Brinkman-Boussinesq system heated from below saturating a porous medium in electrohydrodynamics is considered. By applying the linear stability analysis and normal modes, the dispersion relations accounting for the effect of Prandtl number, electric Rayleigh number, Darcy number, Brinkman-Darcy number, Taylor number and kinematic viscoelasticity parameter is derived. The effects of electric Rayleigh number, Darcy number, Brinkman-Darcy number and Taylor number on the onset of stationary convection have been investigated both analytically and graphically.
Rocznik
Strony
138--143
Opis fizyczny
Bibliogr. 24 poz., 1 il., wykr.
Twórcy
autor
  • Department of Mathematics, NSCBM Govt. P. G. College, Hamitpur-177 005, Himachal Pradesh, India
autor
  • Department of Mathematics, Government Arya College Nurpur-176 202, Himachal Pradesh, India
autor
  • Department of Mathematics and Statistics, Himachal Pradesh University, Shimla - 171 005, Himachal Pradesh, India
Bibliografia
  • [1] Khaled, A. R. A. and Vafai, K.: The role of porous media in modeling flow and heat transfer in biological tissues, Int. J. Heat Mass Transfer, 46, 4989-5003, 2003.
  • [2] Rana, G. C. and Jamwal, H. S.: Effect of rotation on the onset of compressible viscoelastic fluid saturating a Darcy-Brinkman porous medium, Engineering Mechanics, 19, 445-455, 2012.
  • [3] Rana, G. C., Kango, S. K. and Kumar, S.: Effect of rotation on the onset of convection in Walters’ (model B’) heated from below in a Brinkman porous medium. J. of Porous Media, 15, 1149-1153, 2012.
  • [4] Chandrasekhar, S.: Hydrodynamic and Hydromagnetic Stability, Dover Publication, New York, 1961.
  • [5] Landau, L. D.: Electrodynamics of Continuous Media, New York, Oxford, 1960.
  • [6] Roberts, P. H.: Electrohydrodynamic convection, Quarterly Journal of Mechanics and Applied Mathematics, 22, 211-220, 1969.
  • [7] Castellanos, A.: Electrohydrodynmics, New York, Springer-Verlag wien, 1998.
  • [8] Melcher, J. R. and Taylor, G. I.: Electrohydrodynamics: A review of the role of interfacial shear stresses, Annu. Rev. Fluid Mech., 1, 1-146, 1969.
  • [9] Jones, T. B.: Electrohydrodynamically enhanced heat transfer in liquids-A review. In T.F. Irvine Jr. & J.P. Hartnett (Eds.), Advances in Heat Transfer. Academic Press, pp. 107-144, 1978.
  • [10] Gross, M. J. and Porter, J. E.: Electrically induced convection in dielectric liquids, Nature, 212, 1343-1345, 1966.
  • [11] Turnbull, R. J.: Effect of dielectrophoretic forces on the Benard instability, Phys. Fluids, 12, 1809-1815, 1969.
  • [12] Maekawa, T., Abe, and Tanasawa, K. I.: Onset of natural convection under an electric field, Int. J. Heat Mass Trans., 35, 613-621, 1992.
  • [13] Smorodin, B. L.: Stability of plane flow of a liquid dielectric in a transverse alternating electric field, Fluid Dynamics, 36, 548- 555, 2001.
  • [14] Galal, M. M.: Electrohydrodynamic instability if two superposed viscous miscible streaming liquids, J. Electrostatics, 40,185-190, 1997.
  • [15] Chang, M. H., Ruo, A. C. and Chen, F.: Electrohydrodynamic instability in a horizontal fluid layer with electrical conductivity gradient subject to a weak shear flow, J. Fluid Mech., 634, 191- 215, 2009.
  • [16] Takashima, M.: The effect of rotation on electrohydrodynamic instability, Canadian Journal of Physics, 54, 342-347, 1976.
  • [17] Takashima M. and Ghosh, A. K.: Electrohydrodynamic instability in a viscoelastic liquid layer, J. Phys. Soc. Japan, 47, 1717-1722, 1979.
  • [18] Takashima, M. and Hamabata, H.: The stability of natural convection in a vertical layer of dielectric fluid in the presence of a horizontal ac electric field, J. Phys. Soc. Japan, 53, 1728-1736, 1984.
  • [19] Othman, M. I.: Electrohydrodynamic instability of a rotating layer of a viscoelastic fluid heated from below, Zeitschriftfür Angewandte Mathematik und Physik, 55, 468-482, 2004.
  • [20] Shivakumara, I. S., Nagashree, M. S. and Hemalatha, K.: Electroconvective instability in a heat generating dielectric fluid layer, International Communications in Heat and Mass Transfer, 34, 1041-1047, 2007.
  • [21] Shivakumara, I. S., Lee, J., Malashetty, M. S. and Sureshkumara, S.: Effect of thermal modulation on the onset of thermal convection inWalters’ B viscoelastic fluid in a porous medium, Transport in Porous Media, 87, 291-307, 2011.
  • [22] Shivakumara, I. S., Akkanagamma, M. and Chiu-on, Ng: Electrohydrodynamic instability of a rotating couple stress dielectric fluid layer, Int. J. Heat Mass Transfer, 62, 761-771, 2013.
  • [23] Rana, G. C., Chand, R. and Sharma, V.: On the onset of instability of a viscoelastic fluid saturating a porous medium in electrohydrodynamics, Rev. Cub. Fis., 33, 89-94, 2016.
  • [24] Rana, G. C., Chand, R. and Yadav, D.: The onset of electrohydrodynamic instability of an elastico-viscous Walters’ (Model B’) dielectric fluid layer, FME Transactions, 43, 154-160, 2015.
Uwagi
Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-a666d9cd-4b00-40fc-9763-a8b1c9feefa1
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