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Thermal convection of magneto compressible couple-stress fluid saturated in a porous medium with Hall current

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Języki publikacji
EN
Abstrakty
EN
An investigation is made on the effect of Hall currents on thermal instability of a compressible couple-stress fluid in the presence of a horizontal magnetic field saturated in a porous medium. The analysis is carried out within the framework of the linear stability theory and normal mode technique. A dispersion relation governing the effects of viscoelasticity, Hall currents, compressibility, magnetic field and porous medium is derived. For the stationary convection a couple-stress fluid behaves like an ordinary Newtonian fluid due to the vanishing of the viscoelastic parameter. Compressibility, the magnetic filed and couple-stress parameter have stabilizing effects on the system whereas Hall currents and medium permeability have a destabilizing effect on the system, but in the absence of Hall current couple-stress has a destabilizing effect on the system. It has been observed that oscillatory modes are introduced due to the presence of viscoelasticity, magnetic field porous medium and Hall currents which were non-existent in their absence.
Rocznik
Strony
83--93
Opis fizyczny
Bibliogr. 18 poz., wykr.
Twórcy
autor
  • Department of Mathematics Centre of Excellence Govt. Degree College Sanjauli Distt Shimla (H.P), INDIA
autor
  • Department of Mathematics Govt. Post Graduate College Seema (Rohru) Distt Shimla (H.P), INDIA
autor
  • Department of Mathematics St. Bede’s College Shimla Distt Shimla (H.P), INDIA
Bibliografia
  • [1] Chandrasekhar S. (1961): Hydrodynamic and Hydromagnetic Stability. – Oxford: Clarendon Press.
  • [2] Stokes V.K. (1966): Couple-stress in fluids. – Phys. Fluids, vol.9, No.9, pp.1709-1715.
  • [3] Stokes V.K. (1984): Theories of Fluids with Microstructure. – New York: Springer-Verleg.
  • [4] Walicki E. and Walicka A. (1999): Inertia effect in the squeeze film of a couple-stress fluids in biological bearings. – Int. J. Appl. Mech. Engg., vol.4, No.2, pp.363-373.
  • [5] Sunil, Sharma R.C. and Chandel R.S. (2004): Effect of suspended particles on couple-stress fluid heated and soluted from below in porous medium. – J. Porous Media, vol.7, No.1, pp.9-18.
  • [6] Sharma R.C. and Sharma M. (2004): Effect of suspended particles on couple-stress fluid heated from below in the presence of rotation and magnetic field. – Indian J. Pure and Appl. Math., vol.35, No.8, pp.973-989.
  • [7] Chandra K. (1938): Instability of fluids heated from below. – Proc. Roy. Soc., A164, pp.231-242.
  • [8] Spiegal E.A. and Veronis G. (1960): On the boussinesq approximation for a compressible fluid. – Astrophys. J., vol.131, No.2, pp.442-444.
  • [9] Sharma R.C., Sunil, Sharma Y.D. and Chandel R.S. (2002): On couple-stress fluid permeated with suspended particles heated from below. – Arch. Mech., vol.54, No.3, pp.287-298.
  • [10] Malashetty M.S. and Kollur P. (2011): The onset of double-diffusive convection in a couple–stress fluid saturated anisotropic porous layer. – Transport in Porous Media, vol.86, pp.435-459.
  • [11] Singh M. (2011): Hall current effects on thermosolutal instability in a viscoelastic fluid flowing in a porous medium. – Int. J. Applied Mechanics and Engineering, vol.16, No.1, pp.69-82.
  • [12] Jaimala B., Jawla V. and Kumar V. (2013): Thermal convection in a couple-stress fluid in the presence of horizontal magnetic field with Hall currents. – AAM, Int. J., vol.8, No.1, pp.161-177.
  • [13] Singh V. and Dixit S. (2012): Hall effect on thermal instability of compressible couple-stress fluid in presence of suspended particles. – Int. J. Mathematical Arch., vol.3, No.4, pp.1701-1711.
  • [14] Singh M. and Kumar P. (2011): Magneto and rotatory thermosolutal convection in couple-stress fluid in porous medium. – Journal of Porous Media, vol.14, No.7, pp.637.
  • [15] Singh M. and Mehta C.B. (2013): On compressible couple-stress fluid heated and soluted from below in porous medium in presence of rotation and magnetic field. – Journal of Mechanical Engineering and Technology, vol.1, No.1, pp.21.
  • [16] Singh M. and Kumar P. (2012): Thermosolutal convection in a couple-stress fluid in uniform magnetic field. – Z. Naturforsch, vol.67a, pp.275-281.
  • [17] Krishna M.V. and Neeraja E. (2013): Hall effect on MHD flow of a couple-stress fluid in a parallel plate channel bounded by a porous bed on the lower half in presence of inclined magnetic field. – Int. J. Advanced Technology and Engineering Research, vol.3, No.3, pp.103.
  • [18] Rudraiah N., Shankar B.M. and Chiu N.G. (2011): Electro hydrodynamic stability of couple-stress fluid flow in a channel occupied by a porous medium. – Special Topics Rev. Porous Media., vol.2, pp.11-22.
Uwagi
PL
Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-ef45cfd4-9d47-4408-97d1-74a7cc4c0980
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