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Abstrakty
The problem of thermal convection in a Kuvshiniski viscoelastic fluid in a porous medium in the presence of suspended particles is considered. Following the linearized stability theory and normal mode analysis, the dispersion relation is obtained. For stationary convection, a Kuvshiniski fluid behaves like a Newtonian fluid and the medium permeability and the suspended partic1es have destabilizing effects on the system. Graphs have been plotted by giving numerical values to the parameters to depict the stability characteristics. The principle of exchange of stabilities is found to be satisfied.
Rocznik
Tom
Strony
193--201
Opis fizyczny
Bibliogr. 11 poz., wykr.
Twórcy
autor
autor
- Department of Mathematics, I CDEOL Himachal Pradesh University Summer-Hill, Shimla-171005, INDIA, drpardeep@sancharnet.in
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.
- Chandrasekhar S. (1961): Hydrodynamic and Hydromagnetic Stability. - Oxford: Clarendon Press.
- Joseph D.D. (1976): Stability of Fluid Motions. - Vol. 1 and 2. - Berlin: Springer-Verlag.
- Lapwood E.R. (1948): Convection of a fluid in a porous medium. - Proc. Camb. Phil. Soc., vol.44, pp.508-554.
- Palaniswamy V.I. and Purushotham C.M. (1981): Stability of shear flow of stratified fluids with fine dust. - Phys. Fluids, vol.24, pp.1224-1229.
- Scanlon J.W. and Segel L.A. (1973): Some effects of suspended particles on the onset of Be'nard convection. - Phys. Fluids, vol.16, pp.1573-1578.
- Sharma R.C. and Sharma K.C. (1977): Thermal instability of a rotating Maxwell fluid through porous medium. - Metu J. Pure Appl. Sci., vol.10, No.2, pp.223-229.
- Sharma R.C. and Sharma N.D. (1993): Thermal instability in Maxwellian and Oldroydian viscoelastic fluids with suspended particles. - Proc. Nat. Acad. Sci. India, vol.63(A), pp.631-643.
- Varshney N.K. and Dwivedi R.K. (2004): Unsteady effect on MHD free convection and mass transfer flow of Kuvshiniski fluid through porous medium with constant suction and constant heat and mass flux. - Acta Ciencia Indica, vol.2, pp.271-280.
- Vest C.M. and Arpaci V.S. (1969): Overstability of a viscoelastic fluid layer heated from below. - J. Fluid Mech., vol.36, pp.613-619.
- 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.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ2-0035-0012