Hydromagnetic boundary layer micropolar fluid flow over a stretching surface embedded in a non-darcian porous medium with radiation

Mahmoud, Mostafa A. A.; Mahmoud, Mahmoud Abd-elaty; Waheed, Shimaa E.

doi:https://doi.org/10.1155/MPE/2006/39392

Mathematical Problems in Engineering

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Volume 2006 | Article ID 039392 | https://doi.org/10.1155/MPE/2006/39392

Hydromagnetic boundary layer micropolar fluid flow over a stretching surface embedded in a non-darcian porous medium with radiation

Mostafa A. A. Mahmoud,¹Mahmoud Abd-elaty Mahmoud,¹and Shimaa E. Waheed¹

Received31 Jan 2006

Accepted16 Jul 2006

Published10 Oct 2006

Abstract

We have studied the effects of radiation on the boundary layer flow and heat transfer of an electrically conducting micropolar fluid over a continuously moving stretching surface embedded in a non-Darcian porous medium with a uniform magnetic field. The transformed coupled nonlinear ordinary differential equations are solved numerically. The velocity, the angular velocity, and the temperature are shown graphically. The numerical values of the skin friction coefficient, the wall couple stress, and the wall heat transfer rate are computed and discussed for various values of parameters.

References

G. Ahmadi, “Self-similar solution of imcompressible micropolar boundary layer flow over a semi-infinite plate,” International Journal of Engineering Science, vol. 14, no. 7, pp. 639–646, 1976.
View at: Publisher Site | Google Scholar
S. J. Allen and K. A. Kline, “Lubrication theory for micropolar fluids,” Journal of Applied Mechanics: Transactions of the ASME, vol. 38, no. 3, pp. 646–650, 1971.
View at: Google Scholar | Zentralblatt MATH
T. Altan, S. Oh, and H. Gegel, Metal Forming Fundamentals and Applications, American Society of Metals, Ohio, 1979.
T. Ariman, M. A. Turk, and N. D. Sylvester, “Microcontinuum fluid mechanics—a review,” International Journal of Engineering Science, vol. 11, no. 8, pp. 905–930, 1973.
View at: Publisher Site | Google Scholar | Zentralblatt MATH
T. Ariman, M. A. Turk, and N. D. Sylvester, “Applications of microcontinuum fluid mechanics,” International Journal of Engineering Science, vol. 12, no. 4, pp. 273–293, 1974.
View at: Publisher Site | Google Scholar
F. Ebert, “A similarity solution for the boundary layer flow of a polar fluid,” The Chemical Engineering Journal, vol. 5, no. 1, pp. 85–92, 1973.
View at: Publisher Site | Google Scholar
A. C. Eringen, “Theory of micropolar fluids,” Journal of Mathematics and Mechanics, vol. 16, pp. 1–18, 1966.
View at: Google Scholar | MathSciNet
A. C. Eringen, “Theory of thermomicro fluids,” Journal of Mathematical Analysis and Applications, vol. 38, no. 9, pp. 480–492, 1972.
View at: Publisher Site | Google Scholar
M. V. Karwe and Y. Jaluria, “Thermal transport from a heated moving surface,” Journal of Heat Transfer: Transactions of the ASME, vol. 108, no. 4, pp. 728–733, 1986.
View at: Google Scholar
N. A. Kelson and T. W. Farrell, “Micropolar flow over a porous stretching sheet with strong suction or injection,” International Communications in Heat and Mass Transfer, vol. 28, no. 4, pp. 479–488, 2001.
View at: Publisher Site | Google Scholar
M. M. Khonsari, “On the self-excited whirl orbits of a journal in a sleeve bearing lubricated with micropolar fluids,” Acta Mechanica, vol. 81, no. 3-4, pp. 235–244, 1990.
View at: Publisher Site | Google Scholar | Zentralblatt MATH
Y. J. Kim and A. G. Fedorov, “Transient mixed radiative convection flow of a micropolar fluid past a moving, semi-infinite vertical porous plate,” International Journal of Heat and Mass Transfer, vol. 46, no. 10, pp. 1751–1758, 2003.
View at: Publisher Site | Google Scholar | Zentralblatt MATH
J. Peddieson and R. P. Mcnitt, “Boundary layer theory for a micropolar fluid,” Recent Advances in Engineering Science, vol. 5, pp. 405–426, 1970.
View at: Google Scholar
J. Prakash and P. Sinha, “Lubrication theory for micropolar fluids and its application to a journal bearing,” International Journal of Engineering Science, vol. 13, no. 3, pp. 217–232, 1975.
View at: Publisher Site | Google Scholar | Zentralblatt MATH
A. Raptis, “Flow of a micropolar fluid past a continuously moving plate by the presence of radiation,” International Journal of Heat and Mass Transfer, vol. 41, no. 18, pp. 2865–2866, 1998.
View at: Publisher Site | Google Scholar | Zentralblatt MATH
A. Raptis, “Boundary layer flow of a micropolar fluid through a porous medium,” Journal of Porous Media, vol. 3, no. 1, pp. 95–97, 2000.
View at: Google Scholar | Zentralblatt MATH
B. C. Sakiadis, “Boundary-layer behavior on continuous solid surfaces: I. Boundary-layer equations for two-dimensional and axisymmetric flow,” AIChE Journal, vol. 7, no. 1, pp. 26–28, 1962.
View at: Publisher Site | Google Scholar
V. M. Soundalgekar and H. S. Takhar, “Flow of micropolar fluid past a continuously moving plate,” International Journal of Engineering Science, vol. 21, no. 8, pp. 961–965, 1983.
View at: Publisher Site | Google Scholar
E. M. Sparrow and R. D. Cess, Radiation Heat Transfer, Hemisphere, Washington, DC, 1978.
Z. Tadmor and I. Klein, Engineering Principles of Plasticating Extrusion, Polymer Science and Van nostrand Reinhold, New York, 1970.
H. S. Takhar and V. M. Soundalgekar, “Flow and heat transfer of a micropolar fluid past a continuously moving porous plate,” International Journal of Engineering Science, vol. 23, no. 2, pp. 201–205, 1985.
View at: Publisher Site | Google Scholar | Zentralblatt MATH
N. Tipei, “Lubrication with micropolar liquids and its application to short bearings,” Journal of Lubrication Technology: Transactions of the ASME, vol. 101, no. 3, pp. 356–363, 1979.
View at: Google Scholar
F. K. Tsou, E. M. Sparrow, and R. J. Goldstein, “Flow and heat transfer in the boundary layer on a continuous moving surface,” International Journal of Heat and Mass Transfer, vol. 10, no. 2, pp. 219–235, 1967.
View at: Publisher Site | Google Scholar

Copyright

Copyright © 2006 Mostafa A. A. Mahmoud et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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