1Department of Engineering Mathematics and Physics, Faculty of Engineering, El-Fayoum University, El-Fayoum, Egypt
Received:
December 6, 2005
Accepted:
March 2, 2006
Publication Date:
September 1, 2009
Download Citation:
||https://doi.org/10.6180/jase.2009.12.3.15
ABSTRACT
The steady laminar flow through a porous medium of an incompressible non-Newtonian Rivlin-Ericksen fluid impinging normal to a plane wall with heat transfer is investigated. A numerical solution for the governing nonlinear momentum and energy equations is obtained. The effect of the porosity of the medium and the characteristics of the non-Newtonian fluid on both the flow and heat transfer is outlined.
Keywords:
Hiemenz Flow, Porous Medium, Non-Newtonian Fluid, Heat Transfer
REFERENCES
- [1] Hiemenz, K., Dingler Polytech. J. Vol. 326, p. 321 (1911).
- [2] Schlichting, H. and Bussmann, K., Schri. Dtsch. Akad. Luftfahrtforschung, Ser. B, Vol. 7, p. 25 (1943).
- [3] Preston, J. H., Reports and memoirs. British Aerospace Research Council, London, No. 2244 (1946).
- [4] Ariel, P. D., J. Appl. Mech., Vol. 61, p. 976 (1994).
- [5] Massoudi, M. and Ramezan, M., ASME HTD, Vol. 130, p. 81 (1990).
- [6] Massoudi, M. and Ramezan, M., Mech. Res. Commun., Vol. 19, p. 129 (1992).
- [7] Garg, V. K., Acta Mech., Vol. 104, p. 159 (1994).
- [8] Rajeshwari, G. K. and Rathna, S. L., Z. Angew. Math. Phys., Vol. 13, p. 43 (1962).
- [9] Beard, D. W. and Walters, K., Proc. Cambridge Philos. Soc., Vol. 14, p. 757 (1992).
- [10] Teipel, I., Rheological Acta., Vol. 25, p. 75 (1986).
- [11] Ariel, P. D., International J. Numerical Methods Fluids., Vol. 14, p. 757 (1992).
- [12] Djukic, D. S., ASME J. Appl. Mech., Vol. 40, p. 822 (1974).
- [13] Nath, G., Rheological Acta, Vol. 14, p. 850 (1975).
- [14] Teipel, I., CSME Trans., Vol. 12, p. 57 (1988).
- [15] Ariel, P. D., J. Comput. Appl. Math., Vol. 59, p. 9 (1995)
- [16] Attia, H. A., Can. J. Phys., Vol. 78, p. 875 (2000).
- [17] Joseph, D. D., Nield, D. A. and Papanicolaou, G., Water Resources Research, Vol. 18, p. 1049 (1982).
- [18] Ingham, D. B. and Pop, I., Transport phenomena in porous media, Pergamon, Oxford (2002).
- [19] Khaled, A. R. A. and Vafai, K., Int. J. Heat Mass Transf., Vol. 46, p. 4989 (2003).
