PermeabIlity of wire-net porous media determined by a simple Darcy-Forchheimer equation

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Published: Jul 25, 2018
Keywords:
Permeability Darcy – Forchheimer equation Wire-net porous media Pores per inch

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N. Huchaiyaphum
Department of Mechanical Engineering, Faculty of Industry and Technology, Rajamangala University of Technology Isan, Sakon-Nakhon Campus, 199, M. 3, Pungkhon-Warichaphum Road, Phungkhon, Sakon-Nakhon, 47160, Thailand
S. Panpanya
Department of Automotive, Savanakhet Technical College, Kaisorn Promwiharn Townn, Savannakhet, Laos
B. Krittacom
Department of Mechanical Engineering, Faculty of Engineering, Rajamangala University of Technology Isan, Nakhon-Ratchasima Campus, 744 Suranarai Road, Muang, Nakhonratchasima, 30000, Thailand

Abstract

The permeability (K) of porous media is the most significant parameter for describing the fluid flow mechanism within porous matrix. A simple experiment to investigate the K of wire-net porous media based on Darcy – Forchheimer principle is proposed. The stainless ASUS304 with four PPIs (Pores per inch), i.e., PPI = 4, 8, 10 and 12, are examined and reported in the form of porosity (e) yielding as 0.943, 0.898, 0.822 and 0.794 respectively. Five thicknesses (H) consisting of 1.2, 2.4, 3.6, 4.8 and 6.0 mm, are tested. Regarding to the Darcy – Forchheimer method, the equation of relation between pressure drop (DP) and velocity (u) is in the 2nd polynomial form: DP = au+bu2. To simplify this equation, the linear form is discussed: DP = a+bu. The DP as measured by U-tube manometer is conducted in varying the velocity (u) from 0.225 m/s to 1.578 m/s. From the experiment, it is found that the value of K is depended on e (PPI) and H. Thus, the equation of K estimated by multi-regression method can be reported by K =(89.401e - 66.412)/H x 10-7 which determination coefficient (R2) has 0.889. To validate the present regression, three available models consisting of Kozeny-Carman correlation, Gebart equation and a nonlinear equation of Koponen are compared. Good agreement is obtained in comparison. Therefore, it can be said that the present regression form is highly believable and it is easily used.

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Huchaiyaphum, N., Panpanya, S., & Krittacom, B. (2018). PermeabIlity of wire-net porous media determined by a simple Darcy-Forchheimer equation. Journal of Research and Applications in Mechanical Engineering, 6(1), 63–70. Retrieved from https://ph01.tci-thaijo.org/index.php/jrame/article/view/136547
Issue
Vol. 6 No. 1 (2018)
Section
RESEARCH ARTICLES

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