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Abstrakty
The instability of plane interface between two superposed Rivlin-Ericksen elastico-viscous fluids saturated through a porous medium has been studied to include the suspended (dust) particles effect. Following the linearized stability theory and normal mode analysis the dispersion relation is obtained. For stationary convection, the Rivlin-Ericksen elastico-viscous fluid behaves like Newtonian fluids. It found that for a potentially stable arrangement the Rivlin-Ericksen elastico-viscous fluid of different permeabilities in the presence of suspended particles in a porous medium is stable, whereas in a potentially unstable case instability of the system occurs. In the presence of a magnetic field for a potentially stable arrangement the system is always stable and for the potentially unstable arrangement, the magnetic field succeeds in stabilizing certain wave-number band which was unstable in the absence of the magnetic field.
Rocznik
Tom
Strony
889--898
Opis fizyczny
Bibliogr. 14 poz., wykr.
Twórcy
autor
- Department of Mathematics Govt. Post Graduate College Seema (Rohru) Distt Shimla (H.P) -171207, INDIA
Bibliografia
- [1] Bhatia P.K. (1974): Rayleigh-Taylor instability of two viscous superposed conducting fluids. – Nuovo Cimento, vol.19B, pp.161-169.
- [2] Chandra K. (1938): Instability of fluid heated from below. – Proc. Roy. Soc. (Lon.), vol.164A, pp.231-242.
- [3] Gupta U., Aggarwal P. and Wanchoo R.K. (2012): Thermal convection of dusty compressible Rivlin-Ericksen viscoelastic fluid with Hall currents. – Thermal Science, vol.16, No.1, pp.177-191.
- [4] Kent A. (1966): Instability of laminar flow of a magneto-fluid. – Phys. Fluids, vol.9, No.7, pp.1286-1289.
- [5] Kumar P., Lal R. and Singh M. (2007): Hydrodynamic and hydromagnetic stability of two stratified Rivlin-Ericksen elastico-viscous superposed. – Int. J. of Applied Mechanics and Engineering, vol.12, No.3, pp.645-653.
- [6] Rivlin R.S. and Ericksen J.L. (1955): Stress-deformation relations for isotropic materials. – J. Rational Mech. and Analysis, vol.4, pp.323-425.
- [7] Scanlon J.W. and Segel L.A. (1973): Some effects of suspended particles on the onset of Bénard convection. – Phys. Fluids, vol.16, pp.1573-1578.
- [8] Sharma R.C. (1976): Effect of rotation on thermal instability of a viscoelastic fluid. – Acta Physica Hungarica, vol.40, pp.11-17.
- [9] Sharma R.C. and Kumar P. (1997): Hyderomagnetic stability of two Rivlin-Ericksen elastico-viscous superposed conducting fluids. – Z. Naturforsch, vol.52a, pp.528-532.
- [10] Sharma R.C. and Sharma K.C. (1977): Rayleigh-Taylor Instability of two superposed conducting fluids in the presence of suspended particles. – Acta Physica Hungarica, vol.43, pp.251-258.
- [11] Sharma R.C., Kirti Prakash and Dube S.N. (1976): Effect of suspended particles on the onset of Bénard convection in hydromagnetics. – Acta Physica Hungarica, vol.40, pp.3-10.
- [12] Singh M. and Gupta R.K. (2011): Thermal instability of Rivlin-Ericksen elastico-viscous fluid permeated with suspended particles in hydrodynamics in a porous medium. – Int. J. of Applied Mechanics and Engineering, vol.16, No.4, pp.1169-1179.
- [13] Srivastava L.P. (1971): Unsteady flow of Rivlin-Ericksen fluid with suspended particles. – Istanbul Teknik University, Bulletin, vol.194, pp.07-19.
- [14] Srivastava R.K. and Singh K.K. (1988): Drag on a sphere oscillating in a conducting dusty viscous fluid in presence of uniform magnetic field. – Bull. Cal. Math. Soc., vol.80, pp.286-292.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-7644e807-2a55-4092-94a9-19c1073f52fc