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Hydromagnetic thermal instability of compressible Walters' (Model B') rotating fluid permeated with suspended particles in porous medium

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Języki publikacji
EN
Abstrakty
EN
In this paper, the thermal instability of compressible Walters’ (Model B′) rotating fluid permeated with suspended particles (fine dust) in porous medium in hydromagnetics is considered. By applying normal mode analysis method, the dispersion relation has been derived and solved analytically. It is observed that the rotation, magnetic field, suspended particles and viscoelasticity introduce oscillatory modes. For stationary convection, Walters’ (Model B′) elastico-viscous fluid behaves like an ordinary Newtonian fluid and it is observed that rotation has stabilizing effect, suspended particles are found to have destabilizing effect on the system, whereas the medium permeability has stabilizing or destabilizing effect on the system under certain conditions. The magnetic field has destabilizing effect in the absence of rotation, whereas in the presence of rotation, magnetic field has stabilizing or destabilizing effect under certain conditions.
Wydawca
Rocznik
Strony
75--88
Opis fizyczny
Bibliogr. 14 poz., rys.
Twórcy
autor
  • Department of Mathematics, Sidharth Govt. Degree College, Nadaun-177 033, Himachal Pradesh, India
autor
  • Department of Mathematics, NSCBM Govt. P. G. College, Hamirpur-177 005, Himachal Pradesh, India
Bibliografia
  • [1] CHANDRASEKHAR S., Hydrodynamic and Hydromagnetic Stability, Dover Publication, New York, 1981.
  • [2] CHANDRA K., Instability of fluids heated from below, Proc. Roy. Soc. London, 1938, A164, 231.
  • [3] BHATIA P.K., STEINER J.M., Thermal instability of fluid layer in Hydromagnetics, J. Math. Anal. Appl., 1973, 41, 271.
  • [4] SHARMA R.C., Effect of rotation on thermal instability of a visco-elastic fluid, Acta Physica Hungarica, 1976, 40, 11–17.
  • [5] LAPWOOD E.R., Convection of a fluid in porous medium, Proc. Camb. Phil. Soc., 1948, 44, 508–519.
  • [6] WOODING R.A., Rayleigh instability of a thermal boundary layer in flow through a porous medium, J. Fluid Mech., 1960, 9, 183.
  • [7] SCANLON J.W., SEGEL L.A., Effect of suspended particles on the onset of Bénard convection, Phys-ics Fluids, 1973, 16, 1573.
  • [8] SHARMA R.C., SUNIL, Thermal instability of an Oldroydian viscoelastic fluid with suspended particles in hydromagnetics in porous medium, J. Polymer Plastic Technology and Engineering, 1994, 33, 323
  • [9] WALTERS’ K., The solution of flow problems in the case of materials with memory, J. Mecanique, 1962, 1, 469.
  • [10] SPIEGAL E.A., VERONIS G, On Boussnesq approximation for compressible fluid, Astrophysics J., 1960, 131, 442.
  • [11] SHARMA V., RANA G.C., Thermal instability of a Walters’ ((Model B′) elastico-viscous fluid in the presence of variable gravity field and rotation in porous medium, J. Non-Equilib. Thermodyn., 2001, 26, 31.
  • [12] SHARMA V., RANA G.C., Thermosolutal instability of a Walters’ ((Model B′) elastico-viscous rotating fluid in the presence of magnetic field and variable gravity field in porous medium, Proc. Nat. Acad. Sci. India, 2003, 73, 93.
  • [13] RANA G.C., KUMAR S., Thermal instability of a Rivlin-Ericksen elastico-viscous rotating fluid permeated with suspended particles and variable gravity field in porous medium, Studia Geotechnica et Mechanica, 2010, XXXII, 39.
  • [14] RANA G.C., KANGO S.K., Effect of rotation on thermal instability of compressible Walters’ (Model B′) fluid in porous medium, J. Adv. Res. Appl. Math., 2011, 3, 44
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-25cfa9b3-6156-4a4f-a713-c0961db157ce
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