Effect of compressibility and suspended particles on thermal convection in a Walters' B' elastico-viscous fluid in hydromagnetics

• Autorzy: Sharma R. C. , Aggarwal A. K.
• Języki publikacji: EN

Abstrakty

EN

A layer of a compressible, electrically conducting Walters' B' elastico-viscous fluid permeated with suspended particles heated from below in the presence of a magnetic field is considered. For the case of stationary convection, the Walters'(model B') elastico-viscous fluid behaves like a Newtonian fluid and the compressibility, magnetic field are found to have stabilizing effects, whereas the suspended particles have a destabilizing effect on the thermal convection. The presence of each - viscoelasticity, magnetic field and suspended particles introduces oscillatory modes in the system which were non-existent in their absence.

Słowa kluczowe

EN

thermal convection; elastico-viscous fluid; compressibility

PL

materiały elastyczne; teoria sprężystości

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2006
• Tom: Vol. 11, no 2
• Strony: 391--399
• Opis fizyczny: Bibliogr. 12 poz.

Twórcy

autor

Sharma R. C.

autor

Aggarwal A. K.

• Department of Mathematics, Himachal Pradesh University Summer-Hill, Shimla-171005, Himachal Pradesh, INDIA,

Bibliografia

• Bhatia P.K. and Steiner J.M. (1972): Convective instability in a rotating viscoelastic fluid layer. - Z. Angew. Math. Mech., vol.52, pp.321-324.
• Bhatia P.K. and Steiner J.M. (1973): Thermal instability in a viscoelastic fluid layer in hydromagnetics. - J. Math. Anal. Appl., vol.41, pp.271-283.
• Chandra K. (1938): Instability of fluid heated from below. - Proc. Roy. Soc. (Lon.), vol.A164, pp.231-258.
• Chandrasekhar S. (1981): Hydrodymanic and Hydromagnetic Stability. - New York: Dover Publication.
• Scanlon J.W. and Segel L.A. (1973): Some effects of suspended particles on the onset of Bénard convection. - Phys. Fluids, vol.16, pp.1573-78.
• Sharma R.C. (1975): Thermal instability in a viscoelestic fluid in hydromagnetics. - Acta Physica Hungarica, vol.38, pp.293-298.
• Sharma R.C. (1977): Thermal instability in compressible fluids in the presence of rotation and magnetic field. - J. Math. Anal. Appl., vol.60, pp.227-235.
• Sharma R.C., Kumar P. and Sharma S. (2002): Rayleigh-Taylor instability of Walters' B' elastico-viscous fluid through porous medium. - Int. J. Appl. Mech. Eng., vol.7, pp.433-44.
• Sharma R.C., Prakash K. and Dube S.N. (1976): Effect of suspended particles on the onset of Bénard convection in hydromagnetics . - Acta Physica Hungarica, vol.40, pp.3-10.
• Sharma R.C., Sunil and Chand S. (1999): Thermosolutal instability of Walters' rotating fluid (model B') in porous medium. - Arch. Mech., vol.51, pp.181-191.
• Spiegel E.A. and Veronis G. (1960): On the boussinesq approximation for a compressible fluid. - Astrophys. J., vol.131, pp.442-444.
• 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.