Journal of Mechanical Science and Technology

The Korean Society of Mechanical Engineers (대한기계학회)
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Hall Effect on Unsteady Couette Flow. with Heat Transfer Under Exponential Decaying Pressure Gradient

  • Attia HazemAIi (Department of Mathematics, College of Science, Al-Qasseem University)
  • Published : 2005.11.01
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Abstract

The unsteady Couette flow of an electrically conducting, V1SCOUS, incompressible fluid bounded by two parallel non-conducting porous plates is studied with heat transfer taking the Hall effect into consideration. An external uniform magnetic field and a uniform suction and injection are applied perpendicular to the plates while the fluid motion is subjected to an exponential decaying pressure gradient. The two plates are kept at different but constant temperatures while the Joule and viscous dissipations are included in the energy equation. The effect of the ion slip and the uniform suction and injection on both the velocity and temperature distributions is examined.

Keywords

References

  1. Abo-EI-Dahab, E. M. H., 1993, 'Effect of Hall Currents on Some Magnetohydrodynamic Flow Problems,' Master Thesis, Dept. of Maths., Faculty of Science, Helwan University, Egypt
  2. Alpher, R. A., 1961, 'Heat Transfer in Magnetohydrodynamic Flow Between Parallel Plates,' Int. J. Heat and Mass Transfer, Vol. 3, pp. 108-119 https://doi.org/10.1016/0017-9310(61)90073-4
  3. Ames, W. F., 1977, Numerical Solutions of Partial Differential Equations, 2nd ed., Academic Press, New York
  4. 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 https://doi.org/10.1139/cjp-76-9-739
  5. 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 https://doi.org/10.1007/BF02984037
  6. Cramer, K. and Pai, S. -I., 1973, Magnetofluid Dynamics for Engineers and Applied Physicists, McGraw-Hill, New York
  7. Hartmann, J. and Lazarus, F., 1937, 'Kgl. Danske Videnskab. Selskab,' Mat.-Fys. Medd, Vol. 15, pp. 6-17
  8. Nigam, S. D. and Singh, S. N., 1960, 'Heat Transfer by Laminar Flow Between Parallel Plates Under the Action of Transverse MagneField,' Quart. J. Mech. Appl. Math., Vol. 13, pp. 85-97 https://doi.org/10.1093/qjmam/13.1.85
  9. Schlichting, H., 1968, Boundary Layer Theory, McGraw-Hill, New York
  10. Soundalgekar, V. M., Vighnesam, N. V. and Takhar, H. S., 1979, 'Hall and Ion-slip Effects in MHD Couette Flow with Heat Transfer,' IEEE Trans. Plasma Sci., Vol. PS-7, No. 3, pp. 178
  11. Soundalgekar, V. M. and Uplekar, A. G., 1986, 'Hall Effects in MHD Couette flow with Heat Transfer,' IEEE Trans. Plasma Sci., Vol. PS-14, No. 5, pp. 579-583
  12. Sutton, G. W. and Sherman, A., 1965, Engineering Magnetohydrodynamics, McGraw-Hill, New York
  13. Tani, I., 1962, 'Steady Motion of Conducting Fluids in Channels Under Transverse Magnetic Fields with Consideration of Hall Effect,' J. of Aerospace Sci., Vol. 29, pp. 287-298
  14. Tao, I. N., 1960, 'Magnetohydrodynamic Effects on the Formation of Couette Flow,' J. of Aerospace Sci., Vol. 27, pp. 334-357 https://doi.org/10.2514/8.8535