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Kango, S. K.
- Megneto-Convection in a Layer of Maxwell Visco-Elastic Fluid in a Porous Medium with Soret Effect
Abstract Views :161 |
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Authors
Affiliations
1 Department of Mathematics, Government College, Nurpur, HP, IN
2 Department of Mathematics, Government College Haripur (Manali), HP, IN
3 Department of Mathematics, Jawalaji Degree College Jawalamukhi, HP, IN
1 Department of Mathematics, Government College, Nurpur, HP, IN
2 Department of Mathematics, Government College Haripur (Manali), HP, IN
3 Department of Mathematics, Jawalaji Degree College Jawalamukhi, HP, IN
Source
Research Journal of Engineering and Technology, Vol 6, No 1 (2015), Pagination: 23-30Abstract
Double Diffusive convection in a horizontal layer of Maxwell visco-elastic fluid in a porous medium in the presence of constant vertical magnetic field and Soret coefficient is investigated. Flow in porous medium is characterized by Darcy model. The normal mode method is used to find linear stability analysis for the fluid layer confined between two free-free boundary surfaces. The stability criterions for stationary and oscillatory convection have been derived. Effects of various parameters on the stationary have been obtained analytically and graphically.Keywords
Maxwell Visco-Elastic Fluid, Chandrasekhar Number, Soret Parameter, Rayleigh-Darcy Number, Magnetic Prandtl Number.
- Effect of Suspended Particles on the Stability of Stratified Viscoelastic Rivlin-Ericksen Fluid Saturating a Porous Medium
Abstract Views :225 |
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Authors
S. K. Kango
1,
Vikram Singh
2
Affiliations
1 Department of Mathematics, Govt. College, Haripur (Manali) Himachal Pradesh – 175136, IN
2 Department of Mathematics, Jwalaji Degree College, Jwalamukhi Himachal Pradesh-176032, IN
1 Department of Mathematics, Govt. College, Haripur (Manali) Himachal Pradesh – 175136, IN
2 Department of Mathematics, Jwalaji Degree College, Jwalamukhi Himachal Pradesh-176032, IN
Source
Research Journal of Engineering and Technology, Vol 3, No 2 (2012), Pagination: 51-56Abstract
In this paper, the stability of stratified elastic-viscous Rivlin-Ericksen fluid in the presence of suspended particles and uniform horizontal magnetic field in porous medium is considered. In contrast to the Newtonian fluids, the system is found to be unstable at stable stratification for low values of permeability o0r high values of kinematic viscoelasticity. The uniform horizontal magnetic field stabilizes the system for certain wave number range. It has been found that the growth rate increases with the increase in kinematic viscosity and permeability, whereas it decreases with the increase in kinematic viscoelasticity.Keywords
Rivlin-Ericksen Fluid, Viscoelasticity, Permeability, Suspended Particles, Porous Medium.- Hydrodynamic and Hydromagnetic Stability of Stratified Elastico-Viscous Walters' (Model B') Fluid in the Presence of Suspended Particles in Porous Medium
Abstract Views :171 |
PDF Views:0
Authors
Affiliations
1 Department of Mathematics, Govt. College, Haripur (Manali) Himachal Pradesh – 175136, IN
1 Department of Mathematics, Govt. College, Haripur (Manali) Himachal Pradesh – 175136, IN
Source
Research Journal of Engineering and Technology, Vol 3, No 2 (2012), Pagination: 146-151Abstract
In this paper, the stability of stratified elastico-viscous Walters' (model B') elastico-viscous fluid in the presence of suspended particles and uniform horizontal magnetic field in porous medium is considered. By applying normal mode analysis method, the dispersion relation has been derived and solved numerically. The system is found to be unstable for stable stratifications and unstable for unstable stratifications, which is in contrast to the Newtonian fluid where the system is always stable for stable stratifications. The uniform horizontal magnetic field stabilizes the system for certain wave number range. It has been found that the growth rates decrease with the increase in kinematic viscosity, kinematic viscoelasticity, suspended particles number density and magnetic field.Keywords
Walters’ B' Fluid, Viscoelasticity, Permeability, Suspended Particles, Porous Medium, Stratification.- Thermosolutal Instability in Rivlin-Ericksen Fluid in the Presence of Hall Currents
Abstract Views :147 |
PDF Views:0
Authors
Affiliations
1 Department of Mathematics, Govt. College, Barsar (HP), IN
1 Department of Mathematics, Govt. College, Barsar (HP), IN
Source
Research Journal of Engineering and Technology, Vol 8, No 3 (2017), Pagination: 237-244Abstract
The thermosolutal instability of a layer of Rivlin-Ericksen elastico-viscous fluid is considered in the presence of uniform horizontal magnetic field to include the Hall currents in non-porous medium. For the case of stationary convection, the Hall currents hasten the onset of convection, the magnetic field postpones the onset of convection, whereas the kinematic viscoelasticity has no effect on the onset of convection. The Hall currents, kinematic viscoelasticity, magnetic field and the solute parameter introduce oscillatory modes in the system, which were non-existent in their absence. The case of overstability is also considered wherein the sufficient conditions for the non-existence of overstability are obtained. The results are also shown graphically.Keywords
Thermosolutal Instability, Hall Currents, Rivlin-Ericksen Fluid, Viscoelasticity, Overstability.References
- S. Chandrasekhar, Hydrodynamic and Hydromagnetic Stability, Dover Publication, New York, 1981.
- A. Sherman and G. W. Sutton, Magnetohydrodynamics, Northwestern University, Press, Evanston, Illinois, 1962.
- H. Sato, The Hall effects in the viscous flow of ionized gas between parallel plates under transverse magnetic field, Phys. Soc. Japan, 16 (1961) 1427-1433.
- I. Tani, Steady flow of conducting fluids in channels under transverse magnetic consideration of Hall effects, J. Aerospace Sci., 29 (1962) 297-305.
- A. S. Gupta, Hall effect on thermal instability of a horizontal layer of a conducting fluid, Rev. Roumaine Math pure. Appl., 12 (1967) 665-677.
- R. C. Sharma and Sunil, Thermal instability of compressible finite−Larmor radius Hall plasma in a porous medium, J. Plasma Phys., 55(1) (1996) 35-45.
- P. K. Bhatia and J. M. Steiner, Convective instability in a rotating viscoelastic fluid layer, Z. Angew. Math. mech., 52 (1972) 321.
- B. A. Toms and D. J. Strawbridge, Elastic and Viscous properties of dilute solutions of polymethyl methacrylate in organic liquids, Trans. Faraday Soc., 49(1953) 1225-1232.
- J. G. Oldroyd, Non-Newtonian effects in steady motion of some idealized elastico-viscous liquids, Proc. Roy. Soc. (London), A 245 (1958) 278-297.
- R. S. Rivlin and J. L. Ericksen, Stress-deformation relations for isotropic materials, J. Rational Mech. Anal. Vol. 4, (1955) 323-329.
- K. Walters, The motion of an elastico-viscous liquid contained between coaxial Cylinders, Quart. J. Mech. Apple. Math., 13 (1960) 444-461.
- K. Walters, J. Mecanique 1, 479 (1962).
- A. G., Fredricksen, Principles and applications of Rheology, Prentice-Hall Inc. New Jersey, USA, 1964.
- Sharma et al, Hall effect on thermal instability of Walters’ (model B') fluid, Indian J. of Theo. Phys., 48(1) (2000) 81-92.
- E. A. Spiegel, Convective instability in a compressible atmosphere, Astrophys. J. 141(1965) 068-1090.
- A. K., Aggarwal, Effect of rotation on thermosolutal instability of Walters’ (model B') fluid permeated with suspended particles in porous medium, Adv. Theor. Appl. Mech., 3 (2010) 177-188.