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ORIGINAL PAPER
Thermal convection of magneto compressible couple-stress fluid saturated in a porous medium with Hall current
1
Department of Mathematics, Centre of Excellence Govt. Degree College Sanjauli, Distt Shimla (H.P), INDIA
2
Department of Mathematics, Govt. Post Graduate College Seema (Rohru), Distt Shimla (H.P), INDIA
3
Department of Mathematics, St. Bede’s College Shimla, Distt Shimla (H.P), INDIA
Online publication date: 2016-03-07
Publication date: 2016-02-01
International Journal of Applied Mechanics and Engineering 2016;21(1):83-93
KEYWORDS
ABSTRACT
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.
REFERENCES (18)
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.
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