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Abstrakty
A compressible Walters' (Model B') elastico-viscous dusty fluid layer heated from below in the presence of a vertical magnetic field to include the effect of Hall currents is considered. For the case of stationary convection, Walters' (Model B') elastico-viscous fluid behaves like an ordinary Newtonian fluid. The Hall currents and dust particles are found to have a destabilizing effect on the thermal convection, whereas compressibility and the magnetic field are found to have a stabilizing effect on the thermal convection. The viscoelasticity and magnetic field (and hence the Hall currents) introduce oscillatory modes in the system, which were non-existent in their absence. Graphs are also plotted for the critical Rayleigh number and various parameters by giving some numerical values to the parameters
Rocznik
Tom
Strony
1189--1203
Opis fizyczny
Bibliogr. 21 poz., wykr.
Twórcy
autor
autor
autor
- Department of Mathematics Ch. Charan Singh University (Campus), Meerut (Uttar Pradesh), INDIA, vikrant_jawla@yahoo.com
Bibliografia
- Bhatia P.K. and Steiner J.M. (1973): Thermal instability in viscoelastic fluid layer in hydromagnetics. - J. Math. Anal. Appl., vol.41, pp.271-283.
- Chandrasekhar S. (1981): Hydrodynamic and Hydromagnetic Stability. - New York: Dover Publications.
- Gupta A. (1967): Hall effect on thermal instability. - Rev. Roumaine Math. Pures. Appl., vol.12, pp.665-677.
- Joseph D.D. (1976): Stability of Fluid Motions. - Vols. I and II, Springer-Verlag, Berlin, Heidelberg and New York.
- Scanlon J.M. and Segel L.A. (1973): Some effect of suspended particles on the onset of Benard convection. - Phys. Fluids, vol.16, pp.1573-78.
- Sherman A. and Sutton G.W. (1962): Magnetohydrodynamics. - Evanston, Illinois: Northwestern Univ. Press.
- Sharma R.C. and Gupta U. (1993): Thermal instability of compressible fluids with Hall currents and suspended particles in porous medium. - Int. J. Eng. Sci., vol.31, No.7, pp.1053-1060.
- Sharma R.C. (1976): Thermal instability in a viscoelastic fluid layer in hydromagnetics. - Acta Physica Hungarica, vol.38, pp.293-298.
- Sharma V. and Rana G.C. (2001): Thermal instability of a Walters' (Model B') elastico-viscous fluid in the presence of a variable gravity field and rotation in porous medium. - J. Non-Equilib. Thermodyn., vol.26, pp.31-40.
- Sharma R.C. (1976): Effect of rotation on thermal instability of a visco-elastic fluid. - Acta Physica Hungarica, vol.40, pp.11-17.
- Sharma R.C. and Kumar P. (1996): Effect of rotation on thermal instability in Rivlin-Ericksen elastico-viscous fluid. - Zeitschrift fur Naturforschung, vol.51, No.9, pp.821-824.
- Sharma R.C., Sunil and Chand S. (1999): Thermosolutal instability of Walters' (Model B') rotating fluid in porous medium. - Arch. Mech., vol.51, pp.181-191.
- Sharma R.C. (1997): Thermal instability in compressible fluid in the presence of rotation and magnetic field. - J. Math. Anal. Appl., vol.60, pp.227-235.
- Sharma R.C., Sunil and Chand S. (2000): Hall currents on thermal instability of Rivlin-Ericksen fluid. - Indian Journal of Pure and Applied Physics, vol.31, No.1, pp.49-59.
- Sunil, Divya, Sharma R.C. and Sharma V. (2003): Compressible couple-stress fluid permeated with suspended particles heated and soluted from below in porous medium. - Indian Journal of Pure and Applied Physics, vol.41, August, pp.612-620.
- Sharma V. and Kishor K. (2001): Hall effects on thermsolutal instability of Rivlin-Ericksen fluid with varying gravity field in porous medium. - Indian Journal of Pure and Applied Physics, vol.32, No.11, Nov., pp.1643-1657.
- Sharma R.C. and Aggarwal A.K. (2006): Effect of compressibility and suspended particles on thermal convection in a Walters' B' elastico-viscous fluid in hydromagnetics. - Int. J. of Applied Mechanics and Engineering, vol.11, No.2, pp.391-399.
- Spiegel E.A. and Veronis G. (1960): On the Boussinesq approximation for a compressible fluid. - Astrophys. J., vol.131, pp.442-444.
- Sunil and Singh P. (2000): Thermal instability of a porous medium with relaxation and inertia in the presence of Hall effects. - Archive of Applied Mechanics, vol.70, No.8/9, pp.649-658.
- Sunil, Sharma Y.D. and Bharti P.K. (2004): Thermosolutal instability of compressible Rivlin-Erickson fluid with Hall currents. - Int. J. Appl. Mech. Eng., vol.10, No.2, pp.329-343.
- Walters K. (1962): Non-Newtonian effects in some elastico-viscous liquids whose behavior at small rates of shear is characterized by a general linear equation of state. - Quart. J. Mech. Appl. Math., vol.15, pp.76-96.
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Bibliografia
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bwmeta1.element.baztech-article-BPZ5-0018-0018