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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.
FUNDING
This research received no specific grant from any funding agency in the public, commercial, or not-for-profit sectors.
CONFLICT OF INTEREST
The authors declare that they have no conflict of interest.
DATA AVAILABILITY
All data generated or analysed during this study are included in this published article.
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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| eISSN: | 2353-9003 |
| ISSN: | 1734-4492 |
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