Czasopismo
2012
|
Vol. 17, no. 1
|
191-201
Tytuł artykułu
Autorzy
Wybrane pełne teksty z tego czasopisma
Warianty tytułu
Języki publikacji
Abstrakty
The Kelvin-Helmholtz instability of a Newtonian viscous fluid overlying a viscoelastic fluid in a porous medium is considered separately for Walters B' and Rivlin-Ericksen viscoelastic fluids. It is found that for the special case when perturbations in the directions of streaming are ignored, the system is unstable for a potentially unstable configuration and the system is stable for a potentially stable configuration for Rivlin-Ericksen viscoelastic fluids, which is in contrast to the case of the Walters B' viscoelastic fluid, where the system can be stable or unstable depending upon kinematic viscoelasticity, medium porosity, relative density of the viscoelastic fluid and medium permeability, for both potentially unstable and potentially stable configurations. In every other direction, a minimum value of wave-number has been found. The system is unstable for all wave-numbers greater than this minimum wave number.
Rocznik
Tom
Strony
191-201
Opis fizyczny
Bibliogr. 14 poz., wykr.
Twórcy
autor
autor
- Department of Mathematics, ICDEOL Himachal Pradesh University Summer-Hill, Shimla-171005, INDIA, drpardeep@sancharnet.in
Bibliografia
- Chandrasekhar S. (1981): Hydrodynamic and Hydromagnetic Stability. - New York: Dover Publication.
- Francis J.R.D. (1954): Wave motions and the aerodynamic drag on a free oil surface. - Philos. Mag. Ser., vol.45, pp.695-702.
- McDonnel J.A.M. (1978): Cosmic Dust. - John Wiley and Sons, p.330.
- Oldroyd J.G. (1958): Non-Newtonian effects in steady motion of some idealized elastico-viscous liquids. - Proc. Roy. Soc. London, vol. A245, pp.278-297.
- Phillips O.M. (1991): Flow and Reaction in Permeable Rocks. - Cambridge: Cambridge University Press.
- Rivlin R.S. and Ericksen J.L. (1955): Stress-deformation relaxations for isotropic materials. - J. Rat. Mech. Anal., vol.4, pp.323-425.
- Sharma R.C. and. Sharma K.C (1978): Rayleigh-Taylor instability of two viscoelastic superposed fluids. - Acta Phys. Hung., vol.45, pp.213-220..
- Sharma R.C. and Kumar P. (1997): On the stability of two superposed Walters' elastico-viscous liquid B'. - Czech. J. Phys., vol.47, pp.197-204.
- Sharma R.C. and Kumar P. (1997): Hydromagnetic stability of Rivlin-Ericksen elastico-viscous superposed conducting fluids. - Z. Naturforsch., vol.52a, pp.528-532.
- Sharma R.C. and Sharma N.D. (1992): The instability of streaming fluids with fine dust in porous medium. - Czech. J. Phys., vol.42, pp.907-918.
- Sharma R.C. and Spanos T.J.T. (1982): The instability of streaming fluids in a porous medium. - Canadian J. Phys., vol.60, pp.1391-1395.
- Toms B.A. and Strawbridge D.J. (1953): Elastic and viscous properties of dilute solutions of polymethyl methacrylate in organic liquids. - Trans. Faraday, vol.49, pp.1225-1232.
- Walters K. (1960): The motion of elastico-viscous liquid contained between coaxial cylinders. - Quart. J. Mech. Appl. Math., vol.13, pp.444-453.
- Walters K. (1962): The solution of flow problems in case of materials with memory. - J. Mechanique, vol.1, pp.469-479.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ5-0026-0014