THERMAL INSTABILITY OF WALTERS B' VISCOELASTIC FLUID PERMEATED WITH SUSPENDED PARTICLES IN HYDROMAGNETICS
Abstract
The effect of suspended particles on the thermal instability of Walters B? viscoelastic fluid in hydromagnetics in porous medium is considered. For stationary convection, Walters B? viscoelastic fluid behaves like a Newtonian fluid. The medium permeability and suspended particles hasten the onset of convection whereas the magnetic field postpones the onset of convection, for the case of stationary convection. The magnetic field and viscoelasticity introduce oscillatory modes in the system which was non-existent in their absence.
Dates
- Submission Date2004-01-12
- Revision Date2004-02-09
- Acceptance Date2004-02-23
References
- [1] Chandrasekhar, S., Hydrodynamic and Hydromagnetic Stability, Dover Publications, New York, 1981.
- [2] Chandra, K., Instability of Fluids Heated from Below, Proc. Roy. Soc. London, A164 (1938), pp. 231-242.
- [3] Scanlon, J.W. and Segel, L.A., Some Effects of Suspended Particles on the Onset of Be?nard Convection, Phys. Fluids, 16 (1973), pp. 1573-1578.
- [4] Palaniswamy, V.A. and Purushotham, C.M., Stability of Shear Flow of Stratified Fluids with Fine Dust, Phys. Fluids, 22 (1981), pp. 1224-1229.
- [5] Lapwood, E.R., Convection of a Fluid in a Porous Medium, Proc. Camb. Phil. Soc., 44 (1948), pp. 508-521.
- [6] Wooding, R.A., Rayleigh Instability of a Thermal Boundary Layer in Flow Through a Porous Medium, J. Fluid Mech., 9 (1960), pp.183-192.
- [7] Chakraborty, G. and Sengupta, P.R., MHD Flow of Unsteady Viscoelastic (Walters Liquid B?) Conducting Fluid Between Two Porous Concentric Circular Cylinders, Proc. Nat. Acad. Sci. India, 64 (1994), pp. 75-80.
- [8] Sharma, R.C. and Kumar, P., On the Stability of Two Superposed Walters Elastico-Viscous Liquid B?, Czech. J. Phys., 47 (1997), pp. 197-204.
- [9] Sharma, R.C. and Kumar, P., Rayleigh-Taylor Instability of Two Superposed Conducting Walters B? Elastico-Viscous Fluids in Hydromagnetics, Proc. Nat. Acad. Sci. India, 68 (1998), pp. 151-161.
- [10] Kumar, P., Stability of Two Superposed Viscoelastic (Walters B?) Fluid-Particle Mixture in Porous Medium, Z. Naturforsch., 54a (1998), pp. 343-347.
Volume
8,
Issue
1,
Pages51 -61