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Hall Effect on Couette Flow with Heat Transfer of a Dusty Conducting Fluid Between Parallel Porous Plates Under Exponential Decaying Pressure Gradient  

Attia Hazem A. (Department of Mathematics, College of Science, Al-Qasseem University, Department of Engineering Mathematics and physics, Fac. of Engineering, El-Fayoum University)
Publication Information
Journal of Mechanical Science and Technology / v.20, no.4, 2006 , pp. 569-579 More about this Journal
Abstract
In the present study, the unsteady Couette flow with heat transfer of a dusty viscous incompressible electrically conducting fluid under the influence of an exponential decaying pressure gradient is studied without neglecting the Hall effect. The parallel plates are assumed to be porous and subjected to a uniform suction from above and injection from below while the fluid is acted upon by an external uniform magnetic field is applied perpendicular to the plates. The governing equations are solved numerically using finite differences to yield the velocity and temperature distributions for both the fluid and dust particles.
Keywords
Fluid Mechanics; Hydromagnetic Flow; Hall effect; Two Phase Flow; Couette Flow; Heat Transfer; Finite Differences;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
Times Cited By Web Of Science : 0  (Related Records In Web of Science)
Times Cited By SCOPUS : 0
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1 Aboul-Hassan, A. L., Sharaf El-Din, H. and Megahed, A. A., 1991, 'Temperature due to the Motion of One of Them,' First International Conference of Engineering Mathematics and Physics, Cairo, pp. 723
2 Saffman, P. G., 1962, 'On the Stability of a Laminar Flow of a Dusty Gas,' Journal of Fluid Mechanics, Vol. 13, pp. 120   DOI
3 Crammer and Pai, 1973, Magnetofluid Dynamics for Engineer and Scientists, McGraw-Hill, 1973
4 Dixit, L. A., 1980, 'Unsteady Flow of a Dusty Viscous Fluid Through Rectangular Ducts,' Indian Journal of Theoretical Physics, Vol. 28, No. 2, pp. 129
5 Ghosh, A. K. and Mitra, D. K., 1984, 'Flow of a Dusty Fluid Through Horizontal Pipes,' Rev. Roum. Phys., Vol. 29, No. 631
6 Gupta, R. K. and Gupta, S. C., 1976, 'Flow of a Dusty Gas Through a Channel with Arbitrary Time Varying Pressure Gradient,' Journal of Applied Mathematics and Physics, Vol. 27, pp. 119   DOI
7 Lohrabi, J., 1980, 'Investigation of Magneto-hydrodynamic Heat Transfer in Two-Phase Flow,' Ph. D. Thesis, Tennessee Technological University, P.I.
8 Attia, H. A., 2002, 'Transient Hartmann Flow with Heat Transfer Consideration the Ion Slip,' Physica Scripta, Vol. 66, No. 6, pp. 470-475   DOI   ScienceOn
9 Attia, H. A., 2005, 'The Effect of Suction and Injection on Unsteady Flow of a Dusty Conducting Fluid in Rectangular Channel,' Journal of Mechanical Science and Technology, Vol. 19, No. 5, pp. 1148-1157   DOI
10 Borkakotia, K. and Bharali, A., 1983, 'Hydromagnetic Flow and Heat Transfer between Two Horizontal Plates, the Lower Plate being a Stretching Sheet,' Quarterly of Applied Mathematics, pp. 461
11 Chamkha, A. J., 2000, 'Unsteady Laminar Hydromagnetic Fluid-Particle Flow and Heat Transfer in Channels and Circular Pipes,' International J. of Heat and Fluid Flow, Vol. 21, pp. 740-746   DOI   ScienceOn
12 Megahed, A. A., Aboul-Hassan, A. L. and Sharaf El-Din, H., 1988, 'Effect of Joule and Viscous Dissipation on Temperature Distributions Through Electrically Conducting Dusty Fluid,' Fifth Miami International Symposium on Multi-Phase Transport and Particulate Phenomena ; Miami Beach, Florida, USA, Vol. 3, pp. 111
13 Ames, W. F., 1977, Numerical Solutions of Partial Differential Equations, Second Ed., Academic Press, New York
14 Attia, H. A., 1998, 'Hall Current Effects on the Velocity and Temperature Fields of an Unsteady Hartmann Flow,' Can. J. Phys., Vol. 76, No. 9, pp. 739-746   DOI
15 Aboul-Hassan, A. L. and Attia, H. A., 2002, 'Hydromagnetic Flow of a Dusty Fluid in a Rectangular Channel with Hall Current and Heat Transfer,' Can. J. Phys., Vol. 80, No. 5, pp. 579-589   DOI   ScienceOn
16 Sutton, G. W. and Sherman, A., 1965, Engineering Magnetohydrodynamics, McGraw-Hill, 1965
17 Schlichting, H., 1968, Boundary Layer Theory, McGraw-Hill
18 Singh, K. K., 1976, 'Unsteady Flow of a Conducting Dusty fluid through a Rectangular Channel with Time Dependent Pressure Gradient,' Indian Journal of Pure and Applied Mathematics, Vol. 8, No. 9, pp. 1124
19 Soundalgekar, V. M., Vighnesam, N. V. and Takhar, H. S., 1979, 'Hall and Ion-Slip Effects in MHD Couette Flow with Heat Transfer,' IEEE Transactions on Plasma Science, Vol. PS-7, No. 3, pp. 178 -182
20 Soundalgekar, V. M. and Uplekar, A. G., 1986, 'Hall Effects in MHD Couette Flow with Heat Transfer,' IEEE Transactions on Plasma Science, Vol. PS-14, No. 5, pp. 579-583
21 Mitra, P. and Bhattacharyya, P., 1981, 'Unsteady Hydromagnetic Laminar Flow of a Conducting Dusty Fluid between Two Parallel Plates Started Impulsively from Rest,' Acta Mechanica, Vol. 39, pp. 171   DOI
22 Prasad, V. R. and Ramacharyulu, N. C. P., 1979, 'Unsteady Flow of a Dusty Incompressible Fluid between Two Parallel Plates under an Impulsive Pressure Gradient,' Def. Sci. Journal, Vol. 30, pp. 125