Journal of Mechanical Science and Technology

  • 제19권5호
  • /
  • Pages.1148-1157
  • /
  • 2005
  • /
  • 1738-494X(pISSN)
  • /
  • 1976-3824(eISSN)
대한기계학회 (The Korean Society of Mechanical Engineers)
권호 표지

The Effect of Suction and Injection on Unsteady Flow of a Dusty Conducting Fluid in Rectangular Channel

  • Attia Hazem Ali (Department of Mathematics, College of Science, Al-Qasseem University)
  • 발행 : 2005.05.01
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

In the present study, the unsteady Hartmann flow of a dusty viscous incompressible electrically conducting fluid under the influence of an exponentially decreasing pressure gradient is studied without neglecting the ion slip. The parallel plates are assumed to be porous and subjected to a uniform suction from above and injection from below. The fluid is acted upon by an external uniform magnetic field which is applied perpendicular to the plates. An analytical solution for the governing equations of motion is obtained to yield the velocity distributions for both the fluid and dust particles.

키워드

참고문헌

  1. 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, pp. 579-589 https://doi.org/10.1139/p01-125
  2. 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. 723-732
  3. Ahn, S. W., Lee, B. -C., Kim, W. -C. and Bae, M. -W., 2002, 'Characteristics of Fluid Flow and Heat Transfer in Fluidized Heat Exchanger with Circulating Solid Particles,' KSME International Journal, Vol. 16, No.9, pp. 1175-1182
  4. Attia, H. A., 2002, 'A Transient Hartmann Flow with Heat Transfer of a Non-Newtonian Fluid with Suction and Injection, Considering the Hall Effect,' J. Plasma Physics, Vol. 67, No. 1, pp. 27-47 https://doi.org/10.1017/S0022377801001313
  5. 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.739-748. https://doi.org/10.1139/cjp-76-9-739
  6. Attia, H. A., 2002, 'Transient Hartmann Flow with Heat Transfer Consideration the Ion Slip,' Physics Scripta, Vol. 66, No. 6, pp. 470-475 https://doi.org/10.1238/Physica.Regular.066a00470
  7. Borkakotia, K. and Bharali, A., 1983, 'Hydro-magnetic Flow and Heat Transfer Between Two Horizontal Plates, the Lower Plate Being a Stretching Sheet,' Quarterly of Applied Mathematics, pp.461-472
  8. Chamkha, A. J., 1997 'Unsteady Flow of an Electrically Conducting Dusty-gas in a Channel Due to an Oscillating Pressure Gradient,' Appl. Math. Modelling, Vol. 21, pp. 287-292 https://doi.org/10.1016/S0307-904X(97)00018-8
  9. Chamkha, A. J., 2000, 'Unsteady Laminar Hydromagnetic Fluid-particle Flow and Heat Transfer in Channels and Circular Pipes,' International Journal of Heat and Fluid Flow, Vol. 21, pp. 740-746 https://doi.org/10.1016/S0142-727X(00)00031-X
  10. Crammer, K. R. and Pai, S. -I., 1973, Magnetofluid dynamics for Engineer and scientists, McGraw-Hill
  11. Dixit, L. A., 1980, 'Unsteady Flow of a Dusty Viscous Fluid Through Rectangular Ducts,' Indian J. of Theoretical Physics, Vol. 28, No. 2, pp. 129-140
  12. Ghosh, A. K. and Mitra, D. K., 1984, 'Flow of a Dusty Fluid Through Horizontal Pipes,' Rev. Roum. Phys., Vol. 29, No. 631
  13. 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. 119-128 https://doi.org/10.1007/BF01595248
  14. Kim, D., 2002, 'Improved Convective Heat Transfer Correlations for Two-Plase Two-Component Pipe,' KSME international Journal, Vol. 16, No. 3, pp. 403-422.
  15. 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.111-123
  16. 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. 171-183 https://doi.org/10.1007/BF01170340
  17. 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. 125-137
  18. Saffman, P. G., 1962, 'On the Stability of a Laminar Flow of a Dusty Gas,' Journal of Fluid Mechanics, Vol. 13, pp. 120-131 https://doi.org/10.1017/S0022112062000555
  19. Seddeek, M. A., 2002, 'Effects of Magnetic Field, Variable Viscosity and Non-Darcy on Forced Convection Flow About a Flat Plate with Wariable wall Temperature in Porous Media in the Presence of Suction and Blowing,' J. of App. Mech. and Tech. Physics, Vol. 43, No. 1, pp. 13-17 https://doi.org/10.1023/A:1013941523513
  20. Seddeek, M. A., 2003, 'Flow of a Magneto-Micropolar Fluid Past a Continuously Moving Plate,' J. of Physics Letters A, Vol. 306, pp. 255-257 https://doi.org/10.1016/S0375-9601(02)01513-X
  21. 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. 1124-1136
  22. 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
  23. Soundalgekar, V. M. and Uplekar, A. G., 1986, 'Hall effects in MHD Couette Flow with Heat Transfer,' IEEE Trans. on Plasma Science, Vol. PS-14, No.5, pp. 579-583
  24. Spiegel, M. R., 1986, Theory and problems of Laplace Transforms, McGraw-Hill
  25. Sutton, G. W. and Sherman, A., 1965, Engineering Magnetohydrodynamics, McGraw-Hill