On suction driven flow and heat transfer in a pipe filled with porous media

  • Oluwole Daniel Makinde University of North
  • Precious Sibanda University of Zimbabwe

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

Keywords

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.
Published
May 29, 2023
How to Cite
MAKINDE, Oluwole Daniel; SIBANDA, Precious. On suction driven flow and heat transfer in a pipe filled with porous media. Computer Assisted Methods in Engineering and Science, [S.l.], v. 5, n. 4, p. 389-398, may 2023. ISSN 2956-5839. Available at: <https://cames.ippt.pan.pl/index.php/cames/article/view/1335>. Date accessed: 17 may 2024.
Section
Articles