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Heat and Mass Transfer in MHD Micropolar Flow Over a Vertical Moving Porous Plate in a Porous Medium

Abstract

An analysis is presented for the problem of free convection with mass transfer flow for a micropolar fluid via a porous medium bounded by a semi-infinite vertical porous plate in the presence of a transverse magnetic field. The plate moves with constant velocity in the longitudinal direction, and the free stream velocity follows an exponentially small perturbation law. A uniform magnetic field acts perpendicularly to the porous surface in which absorbs the micropolar fluid with a suction velocity varying with time. Numerical results of velocity distribution of micropolar fluids are compared with the corresponding flow problems for a Newtonian fluid. Also, the results of the skin-friction coefficient, the couple stress coefficient, the rate of the heat and mass transfers at the wall are prepared with various values of fluid properties and flow conditions.

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References

  1. Cowling, T. G.: 1957, Magnetohydrodynamics, Interscience Publishers, New York.

    Google Scholar 

  2. El-Amin, M. F.: 2001, Magnetohydrodynamic free convection and mass transfer flow in micropolar fluid with constant suction, J. Magn. Magn. Mater. 234, 567–574.

    Google Scholar 

  3. El-Hakiem, M. A., Mohammadein, A. A., El-Kabeir, S. M. M. and Gorla, R. S. R.: 1999, Joule heating effects on magnetohydrodynamic free convection flow of a micropolar fluid, Int. Commun. Heat Mass Tran. 26(2), 219–227.

    Google Scholar 

  4. Eringen, A. C.: 1966, Theory of micropolar fluids, J. Math. Mech. 16, 1–18.

    Google Scholar 

  5. Kim, Y. J.: 2001, Unsteady convection flow of micropolar fluids past a vertical porous plate embedded in a porous medium, Acta Mech. 148(1–4), 105–116.

    Google Scholar 

  6. Kumari, M.: 1998, MHD flow over a wedge with large blowing rates, Int. J. Eng. Sci. 36(3), 299–314.

    Google Scholar 

  7. Lukaszewicz, G.: 1999, Micropolar Fluids – Theory and Applications, Birkhauser, Boston.

    Google Scholar 

  8. Raptis, A. A.: 1986, Flow through a porous medium in the presence of a magnetic field. Int. J. Energy Res. 10, 97–100.

    Google Scholar 

  9. Rees, D. A. S. and Bassom, A. P.: 1996, The Blasius boundary-layer flow of a micropolar fluid, Int. J. Eng. Sci. 34(1), 113–124.

    Google Scholar 

  10. Soundalgekar, V. M.: 1973, Free convection effects on the oscillatory flow past an infinite, vertical, porous plate with constant suction, Proc. Roy. Soc. London A333, 25–36.

    Google Scholar 

  11. Soundalgekar, V. M. and Takhar, H. S.: 1977, MHD forced and free convective flow past a semiinfinite plate, AIAA J. 15, 457–458.

    Google Scholar 

  12. Takhar, H. S. and Ram, P. C.: 1991, Free convection in hydromagnetic flows of a viscous heatgenerating fluid with wall temperature and Hall currents, Astrophys. Space Sci. 183, 193–198.

    Google Scholar 

  13. Yamamoto, K. and Iwamura, N.: 1976, Flow with convective acceleration through a porous medium, J. Eng. Math. 10, 41–54.

    Google Scholar 

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Kim, Y.J. Heat and Mass Transfer in MHD Micropolar Flow Over a Vertical Moving Porous Plate in a Porous Medium. Transport in Porous Media 56, 17–37 (2004). https://doi.org/10.1023/B:TIPM.0000018420.72016.9d

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  • micropolar fluid
  • magnetohydrodynamics
  • microrotation
  • skin-friction
  • mass transfer
  • sherwood number