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Effect of magnetic field on thermal instability of Oldroydian viscoelastic rotating fluid in porous medium

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In this paper, we investigate the effect of a vertical magnetic field on thermal instability of an Oldroydian visco-elastic rotating fluid in a porous medium. By applying the normal mode analysis method, the dispersion relation governing the effects of rotation, magnetic field and medium permeability is derived and solved analytically and numerically. For the case of stationary convection, the Oldroydian viscoelastic fluid behaves like an ordinary Newtonian fluid and it is observed that rotation has a stabilizing effect while the magnetic field and medium permeability have a stabilizing/destabilizing effect under certain conditions on thermal instability of the Oldroydian viscoelastic fluid in a porous medium. The oscillatory modes are introduced due to the presence of rotation, the magnetic field and gravity field. It is also observed that the ‘principle of exchange of stability’ is invalid in the presence of rotation and the magnetic field.
Rocznik
Strony
555--569
Opis fizyczny
Bibliogr. 12 poz., rys., wykr.
Twórcy
autor
  • Department of Mathematics Government P.G. College Dhaliara- 177103 Himachal Pradesh, India
autor
  • Department of Mathematics NSCBM Govt. P. G. College, Hamirpur-177 005 Himachal Pradesh, India
Bibliografia
  • Bhatia P.K. and Steiner J.M. (1972): Convective instability in a viscoelastic fluid layer. - J. Angew. Math. Mech., vol.52, pp.321-32.
  • Chandrasekhar S. (1981): Hydrodynamic and Hydromagnetic Stability. - New York: Dover Publications.
  • Green P. (1968): Convective instability of viscoelastic fluid heated from below. - Phy. Fluids, vol.11, pp.1410.
  • Ingham D.D. and Pop L. (1981): Transport Phenomena in Porous Media. - New York: Elsevier.
  • Nield D.A. and Bejan A. (2006): Convection in Porous Medium. - New York: Springer.
  • Rana G.C. and Kumar S. (2010): Thermal instability of Rivlin-Ericksen rotating fluid permeated with suspendedparticles under variable gravity field in porous medium. - Studia Geotechnica et Mechanica, vol. XXXII, pp.39-54.
  • Rana G.C. and Kango S.K. (2011): Effect of rotation on thermal instability of compressible Walters, (Model B’) fluid inporous medium. - Vol.3, pp.44-53.
  • Sharma R.C. (1975): Effect of rotation on thermal instability of a viscoelastic fluid. - Acta Physica Hungarica, vol.40, pp.11-17.
  • Sharma R.C. (1975): Effect of magnetic field on thermal instability of a viscoelastic fluid. - Acta Physica Hungarica, vol.33, pp.293.
  • Vafai K. and Hadim H.A. (2000): Hand Book of Porous Media. - New York: Mureel Decker.
  • Vest C.M. and Arpaci V. (1969): Overstability of viscoelastic fluid heated from below. - J. Fluid Mech., vol.36, pp.613.
  • Wooding R.A. (1960): Rayleigh instability of a thermal boundary layer in flow through a porous medium. - J. Fluid Mech., vol.9, pp.183-192.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-eb0c5fd9-8115-415e-a8e2-3e15749c9c0e
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