Thermal instability of Rivlin-Ericksen elastico-viscous fluid permeated with suspended particles in hydrodynamics in a porous medium

• Autorzy: Singh M. , Gupta R. K.
• Języki publikacji: EN

Abstrakty

EN

The thermal instability of a layer of a Rivlin-Ericksen elastico-viscous fluid permeated with suspended particles in a porous medium acted on by a uniform magnetic field is considered. For stationary convection, the Rivlin-Ericksen elastico-viscous field behaves like a Newtonian fluid. The magnetic field is found to have a stabilizing effect, whereas suspended particles and medium permeability have a destabilizing effect for the case of stationary convection. The magnetic field introduces oscillatory modes in the systems, which were non-existent in its absence.

Słowa kluczowe

EN

Rivlin-Ericksen elastico-viscous fluid; thermal instability; suspended particles; magnetic field; porous medium

PL

lepkości płynu; niestabilność termiczna; cząstki zawieszone; pole magnetyczne; materiały porowate

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2011
• Tom: Vol. 16, no 4
• Strony: 1169--1179
• Opis fizyczny: Bibliogr. 13 poz., wykr.

Twórcy

autor

Singh M.

autor

Gupta R. K.

• Department of Mathematics Govt P.G. College Seema-171207 Himachal Pradesh University INDIA,

Bibliografia

• Chandrasekhar S. (1981): Hydrodynamic and Hydromagnetic Stability. - New York: Dover Publications.
• Garg A., Srivastava R.K. and Singh K.K. (1994): Drag on a sphere oscillating in conducting dusty Rivlin-Ericksen elastico-viscous fluid. - Proc. Nat. Acad. Sci., India, vol.A64, pp.355-363.
• Joseph D.D. (1976): Stability of Fluid Motion. - Vol.1 and 2, Berlin: Springer-Verlag.
• Kumar P. (2000): Rayleigh-Taylor instability of Rivlin-Ericksen elastico-viscous fluids in presence of suspended particles through porous medium. - Ind. J. Pure Appl. Math., vol.31, pp.533-539.
• Lapwood E.R. (1948): Convection of a fluid in a porous medium. - Proc. Camb. Phil. Soc., vol.44, pp.508-521.
• Palaniswamy V.I. and Purushotham C.M. (1981): Stability of shear flow of stratified fluids with fine dust. - Phys. Fluids, vol.24, pp.1224-1228.
• Rivlin R.S. and Ericksen J.L. (1955): Stress-deformation relaxations for isotropic materials. - J. Rational Mech. Anal., vol.4, pp.323-425.
• Scanlon J.W. and Segel L.A. (1973): Some effect of suspended particles on the onset of Bénard convection. - Phys. Fluids, vol.16, pp.1573-1578.
• Sharma R.C. and Kumar P. (1995): Rayleigh-Taylor instability of fluids in porous medium in presence of suspended particles and variable magnetic field. - J. Math. Phys. Sci., vol.29, pp.81-90.
• Sharma R.C. and Kumar P. (1999): The effect of suspended particles on thermal instability in Rivlin-Ericksen elastico-viscous fluid. - Ind. J. Pure Appl. Math., vol.30, pp.477-484.
• Sharma R.C. and Sharam K.N. (1982): Thermal instability of fluids through a porous medium in the presence of suspended particles, rotation and solute gradient. - J. Math. Phys. Sci., vol.16, pp.167-181.
• Srivastava R.K. and Singh K.K. (1988): Drag on a sphere oscillating in a conducting dusty viscous fluid in presence of uniform magnetic field. - Cal. Math. Soc., vol.80, pp.286-292.
• Wooding R.A. (1960): Rayleigh instability of a thermal boundary layer in flow through a porous medium. - J. Fluid Mech., vol.9, pp.183-192.