Ion Slip Effect on the Flow Due to a Rotating Disk with Heat Transfer

  • Attia Hazem Ali (Department of Math., College of Science, Al-Qasseem University)
  • Published : 2006.12.01

Abstract

The steady hydromagnetic flow due to a rotating disk is studied with heat transfer considering the ion slip. The governing equations are solved numerically using finite differences. The results show that the inclusion of the ion slip has important effects on the velocity distribution as well as the heat transfer.

Keywords

References

  1. Aboul-Hassan, A. L. and Attia, H. A., 1997, 'The Flow due to a Rotating Disk with Hall Effect,' Physics Letters A, Vol. 228, pp. 286-290 https://doi.org/10.1016/S0375-9601(97)00086-8
  2. Ames, W. F., 1977, Numerical Methods in Partial Differential Equations, 2nd ed., Academic Press, New York
  3. Attia, H. A. and Aboul-Hassan, A. L., 2001, 'Effect of Hall Current on the Unsteady MHD Flow Due to a Rotating Disk with Uniform Suction or Injection,' Applied Mathematical Modeling, Vol. 25, No. 12, pp. 1089-1098 https://doi.org/10.1016/S0307-904X(01)00033-6
  4. Attia, H. A., 2002, 'On the Effectiveness of Uniform Suction-Injection on the Unsteady Flow Due to a Rotating Disk with Heat Transfer,' Int. Comm. Heat and Mass Transfer, Vol. 29, No. 5, pp. 653-661 https://doi.org/10.1016/S0735-1933(02)00384-6
  5. Attia, H. A., 1998, 'Unsteady MHD Flow Near a Rotating Porous Disk with Uniform Suction or Injection,' Fluid Dynamics Research 23, pp.283-290 https://doi.org/10.1016/S0169-5983(98)80011-7
  6. Benton, E. R., 1966, 'On the Flow Due to a Rotating Disk,' J. Fluid Mech, Vol. 24, No. 4, pp. 781-800 https://doi.org/10.1017/S0022112066001009
  7. Cochran, W. G., 1934, 'The Flow Due to a Rotating Disk,' Proc. Cambridge Philos, Soc., Vol. 30, No.3, pp. 365-375 https://doi.org/10.1017/S0305004100012561
  8. El-Mistikawy, T. M. A. and Attia, H. A., 1990, 'The Rotating Disk Flow in the Presence of Strong Magnetic Field,' Proc. 3rd Int. Congress of Fluid ?Mechanics, Cairo, Egypt, Vol. 3, pp. 1211-1222, Jan. 2-4
  9. El-Mistikawy, T. M. A., Attia, H. A. and Megahed, A. A., 1991, 'The Rotating Disk Flow in the Presence of Weak Magnetic Field,' Proc. 4th Conference on Theoretical and Applied Mechanics, Cairo, Egypt, pp. 69-82, Nov. 5-7
  10. Kuiken, H. K., 1971, 'The Effect of Normal Blowing on the Flow Near a Rotating disk of Infinite Extent,' J. Fluid Mech, Vol. 47, No. 4, pp.789-798 https://doi.org/10.1017/S002211207100137X
  11. Millsaps, K. and Pohlhausen, K., 1952, 'Heat Transfer by Laminar Flow from a Rotating Disk,' J. of the Aeronautical Sciences, Vol. 19, pp.120-126 https://doi.org/10.2514/8.2175
  12. Ockendon, H., 1972, 'An Asymptotic Solution for Steady Flow Above an Infinite Rotating Disk with Suction,' Quart. J. Fluid Mech. Appl. Math, Vol. XXV, pp. 291-301 https://doi.org/10.1093/qjmam/25.3.291
  13. Sparrow, E. M. and Gregg, J. L., 1960, 'Mass Transfer, Flow, and Heat Transfer About a Rotating Disk,' ASME J. of Heat Transfer, pp.294-302
  14. Stuart, J. T., 1954, 'On the Effects of Uniform Suction on the Steady Flow Due to a Rotating Disk,' Quart. J. Mech. Appl. Math, 7, pp.446-457 https://doi.org/10.1093/qjmam/7.4.446
  15. Sutton, G. W. and Sherman, A., 1965, Engineering Magnetohydrodynamics, McGraw-Hill, New York
  16. von Karman, T., 1921, 'Uber Laminare und Turbulente Reibung,' ZAMM, Vol. 1, No.4, pp. 233-235 https://doi.org/10.1002/zamm.19210010401