Effective interfacial tension effect on the instability of streaming Rivlin-Ericksen elastico-viscous fluid flow through a porous medium

• Autorzy: Singh M.

Identyfikatory

DOI

10.1515/ijame-2016-0014

• Języki publikacji: EN

Abstrakty

EN

The instability of the plane interface between two uniform, superposed and streaming Rivlin-Ericksen elastico-viscous fluids through porous media, including the ‘effective interfacial tension’ effect, is considered. In the absence of the ‘effective interfacial tension’ stability/instability of the system as well as perturbations transverse to the direction of streaming are found to be unaffected by the presence of streaming if perturbations in the direction of streaming are ignored, whereas for perturbation in all other directions, there exists instability for a certain wave number range. The ‘effective interfacial tension’ is able to suppress this Kelvin-Helmholtz instability for small wavelength perturbations, the medium porosity reduces the stability range given in terms of a difference in streaming velocities.

Słowa kluczowe

EN

Kelvin-Helmholtz instability; Rivlin-Ericksen elastico-viscous fluids in porous medium

PL

niestabilność Kelvina-Helmholtza; płyn Rivlina-Ericksena; lepkość; porowatość

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2016
• Tom: Vol. 21, no. 1
• Strony: 221--229
• Opis fizyczny: Bibliogr. 6 poz.

Twórcy

autor

Singh M.

• Department of Mathematics, Govt. Post Graduate College Seema (Rohru), Distt Shimla (H.P), INDIA

Bibliografia

• [1] Chandrasekhar S. (1981): Hydrodynamic and Hydromagnetic Stability. – New York: Dover Publication, pp.1-704.
• [2] Rivlin R.S. and Ericksen J.L. (1955): Stress-deformation relations for isotropic materials. – J. Rational Mech. and Analysis, vol.4, pp.323-425.
• [3] Phillips O.M. (1991): Flow and reaction in permeable rocks. – Cambridge: Cambridge University Press, X+285.
• [4] Chuoke R.L., Van Meurs P. and Van der Poel C. (1959): Instability of slow immiscible viscous liquid –liquid displacement in permeable media. – Trans. AIME 216, pp.188-194.
• [5] Sharma R.C. and Spanos T.J.T. (1982): The instability of streaming fluids in a porous medium. – Canadian J. Phy., vol.60, No.10, pp.1391-1395.
• [6] Sharma R.C., Kumar P. and Sharma S. (2002): Rayleigh-Taylor instability of Walter’s B’ elastic-viscous fluid through porous medium. – Int. J. Appl. Mech. Engng., vol.7, No.2, pp.433-444.

Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę