Effect of Hall current on Unsteady Flow of a Dusty Conducting Fluid through porous medium between Parallel Porous Plates with Temperature Dependent Viscosity and Thermal Radiation

Harshbardhan Singh; Dr. S. S. Yadav

doi:https://doi.org/10.14445/22315373/IJMTT-V3I4P501

International Journal of Mathematics Trends and Technology

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Volume 3 | Issue 4 | Year 2012 | Article Id. IJMTT-V3I4P501 | DOI : https://doi.org/10.14445/22315373/IJMTT-V3I4P501

Effect of Hall current on Unsteady Flow of a Dusty Conducting Fluid through porous medium between Parallel Porous Plates with Temperature Dependent Viscosity and Thermal Radiation

Harshbardhan Singh, Dr. S. S. Yadav

Citation :

Harshbardhan Singh, Dr. S. S. Yadav, "Effect of Hall current on Unsteady Flow of a Dusty Conducting Fluid through porous medium between Parallel Porous Plates with Temperature Dependent Viscosity and Thermal Radiation," International Journal of Mathematics Trends and Technology (IJMTT), vol. 3, no. 4, pp. 131-146, 2012. Crossref, https://doi.org/10.14445/22315373/IJMTT-V3I4P501

Abstract

The purpose of present problem is to studies of effects of variable viscosity, hall current on unsteady laminar flow of dusty conducting fluid between parallel porous plates through porous medium with temperature dependent viscosity with thermal radiation. The fluid is considered as unsteady laminar flow through porous medium and acted upon by a constant pressure gradient and an external uniform magnetic field is applied perpendicular to the plates with hall current. It is assumed that the parallel plates are porous and subjected to a uniform suction from above and injection from below. It is also considered the viscosity is temperature dependent. The governing nonlinear partial differential equations are solved finite difference approximation. The results for temperature field and velocity for fluids and dust particles have been obtain numerically and displayed graphically.

Keywords

MHD, Radiation parameter, hall current, porous medium, transient state, two-phase flow, dust particles, finite differences.

References

[1]. Saffman, P. G.: The stability of laminar flow of dusty gas, Journal of Fluid Mechanics, 13, (1962), pp.120-129.
[2]. Soundalgekar, V. M.: Free convection effects on the oscillatory flow past on infinite vertical porous plates with constant suction. Proc. Royal Soc. Londan, A-333 pp. 25-36.
[3]. Gupta, R. K. and Gupta, S. C.: Journal of Applied Mathematics and Physics, 27, (1976), 119.
[4]. Prasad, V. R. and Ramacharyulu, N. C. P.: Def. Sci. Journal, 30, (1979), 125.
[5]. Dixit, L.A.: Indian Journal of Theoretical Physics, 28 (2), (1980), 129.
[6]. Klemp, K., Herwig, H. and Sclamann, M.: Proceedings of the Third International congress of Fluid Mechanics, Cairo, Egypt, 3, (1990), 1257.
[7]. Attia, H. A. and Kotb, N. A.: Acta Mechanica, 117 (1996), 215.
[8]. Attia, H. A.: Mechanica, Research Communications, 26(1), (1999), 115.
[9]. Kim, Y. J.: Unsteady MHD convective heat transfer past a semi-infinite vertical porous plate with variable suction, International journal of engineering science.-38 (2000) pp. 833-845.
[10]. Attia, H.A.: Influence of temperature dependent viscosity on MHD coquette flow of dusty fluid with heat transfer, All Qasseem university buraidah, 81999 Kingdom of Saudi Arabia (2002).
[11]. Ramanathan, A. and Suresh, G.: Effect of magnetic field dependent viscosity and anisotropy of porous medium free convection, IJES vol. 42 (2004) pp.411-425.
[12]. Seeton, J. C.: Viscosity temperature correlation for liquid. Tribology letters vol.-22 Nov. (2006).
[13]. EI-Amin, M. F., Abbas, I. and Gorla, R. S. R.: Effect of thermal radiation on natural convection in a porous medium. Int. journal of fluid mechanics research, 34, 2 (2007) pp.129-144.
[14]. Attia, H. A.: Unsteady hydromagnetic coquette flow of dusty fluid with temperature dependent viscosity and thermal conductivity’. I. J. of non-linear mechanics vol.8 (2008) pp.707-715.
[15]. Ezzat, M.A. and EI-Bary, A.A.: Space approach to the hydro-magnetic flow of dusty fluid through a porous medium. Journal of computer and mathematics with application. Vol.-59, April- (2010). Pp. 2868-2879.
[16]. Chauhan, D.S. and Agarwal, R.: MHD through a porous medium adjacent to a stretching sheet numerical and an approximation solution’. The European physical journal. Vol. 126 (2011).
[17]. Attia, H.A.: Unsteady flow of a dusty conducting fluid between parallel porous plates with temperature dependent viscosity. Turk. Journal of Phys. Vol. 29(2005), pp. 257-267.