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Effect of the magnetic field and suspended particles on thermosolutal instability of a rotating Rivlin-Ericksen fluid with varying gravity field in a porous medium

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Abstrakty
EN
In the paper we consider thermal instability of a rotating Rivlin-Ericksen viscoelastic fluid in the presence of suspended particles in a porous medium, the effect of magnetic field with varying gravity field are also studied. It is found that for stationary convection, a Rivlin-Ericksen fluid behaves like an ordinary Newtonian fluid while the magnetic field has both stabilizing and destabilizing effect on the system. Other different aspects affecting stability are also considered.
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559--570
Opis fizyczny
Bibliogr. 13 poz.
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Bibliografia
  • Aggarwal A.K. (2010): Effect of rotation on thermosolutal convection in a Rivlin-Ericksen fluid permeated with suspended particles in porous medium. - Adv. Theor. Appl. Mech., vol.3, No.4, pp.177-188.
  • Benard H. (1900): Les tourbillons cellulaires dans une nappe liquid. - Revue Generale des Sciences Pures et Appliquees, vol.11, 1261-1271, 1309-1328.
  • Bhatia P.K. and Steiner J.M. (1973): Thermal instability in a visco-elastic fluid layer in hydromagnetics. - J. Math. Anal. Appl., vol.41, 271.
  • Chandrashekhar S. (1981): Hydrodynamics and Hydromagnetic Stability. - New York: Dover Publication.
  • Garg A., Srivastava R.K. and Singh K.K. (1994): Drag on spehere oscillating in conducting dusty Rivlin-Ericksen elastico-viscous liquid. - Proceedings of the National Academy of Sciences, India A 64, No.3, pp.355-363.
  • Jeffreys H. (1926): The stability of a fluid layer heated from below. - Philosophical Magzine 2, pp.833-844.
  • Oldroyd J.G. (1958): Non-Newtonian effects in steady motion of some idealized elastic-viscous liquids. - Proceedings of the Royal Society of London A 245, pp.278-297.
  • Pradhan G.K. and Samal P.C. (1987): Thermal stability of a fluid layer under variable body forces. - J. Math. Anal. Appl., vol.122, 487-495.
  • Rayleigh L. (1916): On convective currents in a horizontal layer of fluid when the higher temperature is on the under side. - Philosophical Magzine, vol.32, pp.529-546.
  • Srivastava R.K. and Singh K.K. (1988): Drag on a sphere oscillating in a conducting dusty viscous fluid in presence of uniform magnetic field. - Bulletin of the Calcutta Mathematical Society, vol.80, pp.286-292.
  • Sharma R.C. (1975): Thermal instability in a viscoelastic fluid in hydromagnetics. - Acta Physica Hungarica, vol.38, pp.293-298.
  • Sharma R.C. (1976): Effect of rotation on thermal instability of a viscoelastic fluid. - Acta Physica Hungarica, vol.40, pp.11-17.
  • Sharma R.C. and Kumar P. (1996): Effect of rotation on thermal instability in Rivlin-Ericksen elastic-viscous fluid. - Zeitschrift fur Naturforschung 51a, pp.821-824.
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Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ5-0027-0013
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