Experimental Investigation of the Permeability and Inertial Effect on Fluid Flow through Homogeneous Porous Media

Document Type : Research Article


Faculty of Mechanical Engineering, K.N. Toosi University of Technology, Tehran, I.R. IRAN


The value of the permeability in fluid flow through porous media is important for process investigation. In low Reynolds number, the classic Darcy’s law is suitable for simulation of fluid flow. In this paper, an experimental study for evaluation of preformed fiber permeability has been done. Also, the deviations from the classical Darcy law by experimental and numerical simulation of the Navier-Stokes equations has been studied, and the coefficient of inertial term evaluated. The fluid flow in a geometry which is similar to the experimental system has been modeled as the Stokes flow on multi particles. Kozeny-Carmen relation for characteristic diameter of particles has been used as the characteristic dimension in numerical analysis. Numerical solution has been done based on the boundary elements method and the results are used for the K calculations. With experimental investigations for the fluid flows with higher Reynold’s number, the coefficients for Forchheimer term could be obtained.


Main Subjects

[1] Dullien F.A.L, “Porous Media-Fluid Transport and Pore Struchure”, Academic , New York , (1979).
[2] Jackson, G.W., James, D.F, The Permeability of Fibrous Porous Media, Canadaian Journal of Chemical Eng., 64, 364 (1986).
[3] Gauvin, R. and Chibani. M., Anallysis of Composites Molding with Woren and Non Woven Rein-forcements, in 45th Annual Conference, Composites Institute, The Society of Plastic Industry, 1-6 (1990).
[4] Parseral, y.de , Roy, R.V., Advani, S.G., Effect of Local Variations of Perform Permeability on the Average Permebility Auring Resin Transfer Molding of Composites, in 53rd Annual Tech. Conf.,Vol. 2,
pp. 3040-3044, Boston, Massach Usetts, (1955).
[5] Steenkamer, D.A., Mcknight, SH., Willkins, D.S., Karbhari, V.M., Experimental Characterzation of        Permeability and Fiber Weperimeutal Character-Zation of Permeabilty and Fiber Weting for Liquid Molding, Journal of Mocterial Science, 30 (12) (1995).
[6] Sahimi, M., “Application of Percolation Theory”, Taylor and Francis, London, (1994); Flow and Transport in Porous Media and Fractured Rock, VCH, Boston, (1995).
[7] Vafai , K., Tien , C.L., Boundary and Inertia Effects on Converction Mass Transfer in Porous Media,
Int. J. of Heat and Mass Transfer, 25, p.1183 (1982).
[8] Shahnazari, M. , Ziabasharhagh, M., “Theoretical and Experimental Investigation of the Channeling Effect in Fluid Flow through Porous Media”, Journal of Porous Media, 8(2), 1 (2005).
[9] Shahnazari, M. , Ziabasharhagh, M., Abbassi, A.,  “Investigation of Stokes Flow on Multi- Particles
for Predicion of One Non-Homogeneous Porous Media Permeability”, Computational Fluid Dynamic Conference, Canada, (2003).
[10] Kaviani, M., “Principles of Heat Transfer in Porous Media”, 2nd Ed., Springer Verlag, New York (1991).