Advances in Applied Sciences
Volume 2, Issue 3, June 2017, Pages: 28-32
Received: Mar. 2, 2017;
Accepted: Apr. 25, 2017;
Published: Jul. 5, 2017
Views 331 Downloads 10
Basant K. Jha, Department of Mathematics, Ahmadu Bello University, Zaria, Nigeria
Michael O. Oni, Department of Mathematics, Ahmadu Bello University, Zaria, Nigeria
This work revisited the mixed convection flow formation in a uniformly heated vertical porous channel filled with porous material as discussed by Chandrasekhara and Nayrayanan . Using perturbation method as well as numerical solution, Chandrasekhara and Nayrayanan  discussed the behavior of the fluid as well as rate of heat transfer. This methods are known not to be exact solution. In this work, we derived an exact solution using D’Alembert’s method and corrected some results obtained in . To justify the accuracy of the present method, we used the implicit finite difference method (IFDM). Result shows that D’Alembert’s method is more efficient, effective and thus a promising tool for finding exact solution for coupled equations.
Basant K. Jha,
Michael O. Oni,
Laminar Convection in a Uniformly Heated Vertical Porous Channel Revisited, Advances in Applied Sciences.
Vol. 2, No. 3,
2017, pp. 28-32.
Copyright © 2017 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/
) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
W. Elenbaas, Heat Dissipation of Parallel Plates by Free convection,Physica, vol. 9, n° 1, pp.1-28, 1942.
J. R. Bodoia and J. F. Osterle, The Development of Free ConvectionBetween Heated Vertical Plates, J. of Heat Transfer, Trans. ASME,Series C, vol. 84, n°1, pp. 40-44, 1962.
S. J. Kim, S. W. Lee, Air Cooling Technology for Electronic Equipment,CRC Press, Boca Raton, FL, 1996.
A. Bejan, Shape and Structure from Engineering to Nature, CambridgeUniversity Press, New York, 2000.
G. A. Ledezma, A. Bejan, Optimal geometric arrangement of staggeredvertical plates in natural convection, ASME J. Heat Transfer 119; pp. 700–708, 1997.
S. Sathe, B. Sammakia, A review of recent developments in somepractical aspects of air-cooled electronic packages, ASME J. HeatTransfer 120; pp. 830–839, 1998.
A. Bejan, A. K. da Silva, S. Lorente, Maximal heat transfer density invertical morphing channels with natural convection, Numer. HeatTransfer A 45; pp. 135–152, 2004.
A. Auletta, O. Manca, B. Morrone, V. Naso, Heat transfer enhancementby the chimney effect in a vertical isoflux channel, Int. J. Heat MassTransfer 44 pp. 4345–4357, 2001.
A. K. da Silva, L. Gosselin, Optimal geometry of L- and C-shapedchannels for maximum heat transfer rate in natural convection, Int. J. Heat Mass Transfer 48 pp. 609–620, 2005.
Mishra, A., Paul, T., and Singh, A.; Mixed convection flow in a porous medium bounded by two vertical walls, ForschungimIngenieurwesen, V.67, pp. 198–205 (2002).
Chandrasekhara BC., Radha N.; Laminar convection in a uniformly heated vertical porous channel, Indian Journal of Technology, 27 pp. 371-376 (1989).
B. K. Jha, C. A. Apere, (2013) Unsteady MHD two-phase Couette flow of fluid–particle suspension. Applied Mathematical Modelling 37:1920-1931.
Z. Recebli, H. Kurt, Two-phase steady flow along a horizontal glass pipe in the presence of magnetic and electric field, Int. J. Heat Fluid Flow, 29; 263-268 (2008).