Stability of incompressible Rivlin-Ericksen elastico-viscous superposed fluid in porous medium

• Autorzy: Rana G. C. , Sharma V. , Kango S. K.
• Języki publikacji: EN

Abstrakty

EN

The stability of a Rivlin-Ericksen elastico-viscous superposed fluid in a porous medium is considered. The system is found to be stable/unstable for bottom heavy / top heavy configurations density wise as in a Newtonian viscous fluid. For an exponential varying density, viscosity, viscoelasticity, medium porosity and medium permeability, the system is found to be stable for all wave numbers for becomes stable stratifications and unstable for the unstable stratifications. The behavior of growth with respect to fluid kinematic viscosity, viscoelasticity, medium porosity and medium permeability is examined analytically and graphically.

Słowa kluczowe

EN

Rivlin-Ericksen elastico-viscous fluid; porous medium; viscosity; viscoelasticity; medium permeability

PL

płyn Rivlina-Ericksena; porowatość; lepkość; lepkosprężystość

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2012
• Tom: Vol. 17, no. 2
• Strony: 471--480
• Opis fizyczny: Bibliogr. 10 poz., wykr.

Twórcy

autor

Rana G. C.

autor

Sharma V.

autor

Kango S. K.

• Department of Mathematics NSCBM Govt. P. G. College Hamirpur-177 005, Himachal Pradesh, INDIA,

Bibliografia

• Chandrasekhar S. (1981): Hydrodynamic and Hydromagnetic Stability. - New York: Dover Publication.
• Lapwood E.R. (1948): Convection of a fluid in a porous medium. - Proc. Camb. Phil. Soc., vol.44, pp.508-519.
• Oldroyd J.G. (1958): Non-Newtonian effect in steady motion of some idealized elastic-viscous liquid. - Proc. Roy. Soc., vol.A245, pp.278-297.
• Ried W.H. (1961): The effect of surface tension and viscosity on the stability of two superposed fluids. - Proc. Camb. Phil. Soc., vol.57, pp.415-427.
• Rivlin R.S. and Ericksen J.L. (1955): Stress-deformation relations for isotropic materials. - J. Rational Mech. Anal., vol.1, pp.323-334.
• Sharma R.C. and Kumar P. (1997): Stability of two superposed Walters, (Model B') viscoelastic fluids. - Czech. J. of Physics, vol.47, pp.459-472.
• Sharma R.C. and Sharma V. (1991): Hydromagnetic instability of streaming fluid in porous medium. - Czech. J. of Physics, vol.42, pp.459-472.
• Sharma V. and Rana G.C. (2000): Thermal instability of finite-larmor-radius hall plasma under rotation and variable gravitational field in porous medium. - J. Non-Equil. Thermodyn., vol.26, pp.31-40.
• Sharma V., Kishore K. and Rana G.C. (2001): The instability of streaming Rivlin-Ericksen fluids in porous medium. - Studia Geotechnica et Mechanica, vol.XXIII, pp.83-93.
• 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.