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Abstrakty
The stability of two superposed couple-stress fluids of uniform densities, permeated with suspended particles, in a porous medium is considered. A stability analysis is carried out and for mathematical simplicity we consider two highly viscous fluids of equal kinematic viscosities and equal couple-stress kinematic viscosities. The system is found to be stable for a potentially stable configuration under certain condition whereas a potentially unstable configuration remains unstable for the couple-stress fluid permeated with suspended particles in a porous medium. The growth rates of perturbation are found to be both increasing (for some wave numbers) and decreasing (for other wave numbers) with the increase in medium permeability.
Rocznik
Tom
Strony
693--704
Opis fizyczny
Bibliogr. 19 poz.
Twórcy
autor
- Department of Applied Sciences National Institute of Technology Hamirpur (H.P.) - 177 005, INDIA
autor
- Department of Mathematics Himachal Pradesh University Summer Hill, Shimla - 171 005, INDIA
autor
- Department of Mathematics Government Degree College Palampur (H.P.) - 176 061, INDIA
Bibliografia
- [1] Bhatia P.K. (1974): Rayleigh-Taylor instability of two viscous superposed conducting fluids. - Nuovo Cimento, vol.l9B, pp.161-168.
- [2] Bhatia P.K. and Steiner J.M. (1972): Convective instability in a rotating viscoelastic fluid layer. - Z. Angew. Math. Mech., vol.52, pp.321-327.
- [3] Bujurke N.M. and Jayaraman G. (1982): The influence of couple-stresses in squeeze films. - Int. J. Mech. Sci., vol.24, pp.369-376.
- [4] Chandrasekhar S. (1981): Hydrodynamic and Hydromagnetic Stability. - New York: Dover Publication.
- [5] Ingham D.B. and Pop I. (1998): Transport Phenomena in Porous Medium. - Oxford: Pergamon.
- [6] Lai W.M., Kuei S.C. and Mow V.C. (1978): Rheological equations for synovial fluids. - J. Biomechanical Engng., vol.l00, pp. 169-186.
- [7] Lin J.R. (1996): Couple-stress effect on the squeeze film characteristics of hemispherical bearing with reference to synovial joints. - Appl. Mech. Engng., vol.l, pp.317-332.
- [8] Nield D.A. and Bejan A. (1999): Convection in Porous Medium. - New York: Springer, 2nd Editio.
- [9] Phillips O.M. (1991): Flow and Reaction in Permeable Rocks. - Cambridge: Cambridge University Press.
- [10] Saffman P.G. (1962): On the stability of a laminar flow of a dusty gas. - J. Fluid Mech., vol.l3, pp. 120-128.
- [11] Scanlon J.W. and Segel L.A. (1973): Some effects of suspended particles on the onset of Benard convection. - Phys. Fluids., vol.l6, pp.1573-1578.
- [12] Sharma R.C. and Sharma K.C. (1978): Rayleigh-Taylor instability of two viscoelastic superposed fluids. - Acta Physica Hungarica, vol.45, pp.213-220.
- [13] Sharma R.C. and Thakur K.D. (2000): On couple-stress fluid heated from below in porous medium in hydromagnetics. - Czech. J. Phys., vol.50, pp.753-758.
- [14] Sharma R.C., Sunil and Pal M. (2000): On couple-stress fluid heated from below in porous medium in presence of rotation. - Appl. Mech. Engng., vol.5, No.4, pp.883-896.
- [15] Sharma R.C., Sunil and Pal M. (2001): On superposed couple-stress fluid in a porous medium. - Studia Geotechnica et Mechanica, vol.23, pp.55-66.
- [16] Sinha P., Singh C. and Prasad K.R. (1981): Couple-stresses in journal bearing lubricants and the effect of convection. - Wear, vol.67, pp. 15-24.
- [17] Stokes V.K. (1966): Couple-stresses in fluids. - Phys. Fluids, vol.9, pp.1709-1715.
- [18] Walicka A. (1994): Micropolar Flow in a Slot Between Rotating Surfaces of Revolution. - Zielona Góra: TU Press.
- [19] Walicki E. and Walicka A. (1999): Inertia effects in the squeeze film of a couple-stress fluid in biological bearing. - Appl. Mech. Engng., vol.4, No.2, pp.363-373.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ2-0003-0037