On suction driven flow and heat transfer in a pipe filled with porous media
Abstract
The axisymmetric flow of a viscous fluid and heat transfer in a pipe filled with porous media driven by suction at the pipe wall is examined. For low suction R.eynolds number flow, asymptotic solutions are developed. Using MAPLE, the solution series is extended and a bifurcation study is performed , Our results show that a decrease in the permeability of porous media may reduce the magnitude of heat transfer across the wall. The absence of real solutions of the given type between two turning points is also noticed and this gap of no solution disappears as the permeability of the porous media decrease
References
[1] A.S. Berman. Laminar flow in channels with porous walls. J. Appl. Phys., 24: 1232- 1235, 1953.
[2] J .F. Brady. Flow development in porous channel and tube. J. Fluid Mech., 112: 127- 150, 1984.
[3] C. Domb, M.F. Sykes. On the susceptibility of a ferromagnetic above Curie point. Proc. R.. Soc. Land., Ser. A., 240: 214- 228, 1957.
[4] L. Durlovsky, J.F. Brady. The spatial stability of a class of similarity solutions. Phys. Fluids, 27: 1068- 1076, 1984.
[5] P.G. Drazin, Y. Tourigny. Numerical study of bifurcation by analytic continuation of a function defined by a power series. SIAM Jour. of Appl. Math., 56: 1- 18, 1996.
[2] J .F. Brady. Flow development in porous channel and tube. J. Fluid Mech., 112: 127- 150, 1984.
[3] C. Domb, M.F. Sykes. On the susceptibility of a ferromagnetic above Curie point. Proc. R.. Soc. Land., Ser. A., 240: 214- 228, 1957.
[4] L. Durlovsky, J.F. Brady. The spatial stability of a class of similarity solutions. Phys. Fluids, 27: 1068- 1076, 1984.
[5] P.G. Drazin, Y. Tourigny. Numerical study of bifurcation by analytic continuation of a function defined by a power series. SIAM Jour. of Appl. Math., 56: 1- 18, 1996.
Published
2023-05-29
Issue
pp. 389-398
Section
Articles
License
Copyright © The Author(s).
This work is licensed under the Creative Commons Attribution 4.0 International CC BY 4.0.
How to Cite
Makinde, O. D., & Sibanda, P. (2023). On suction driven flow and heat transfer in a pipe filled with porous media. Computer Assisted Methods in Engineering and Science, 5(4), 389-398. https://cames3.ippt.pan.pl/index.php/cames/article/view/1335
