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An estimation of effective thermal conductivity of a fibrous dual-scale porous medium during unsaturated flow
Affiliation:1. S.C. Johnson and Son, Inc., 1525 Howe Street, Racine, WI 53403, USA;2. Department of Mechanical Engineering, University of Wisconsin-Milwaukee, 945 EMS Building, 3200 N. Cramer Street, Milwaukee, WI 53211, USA;1. Faculty of Physics, University of Bucharest, Magurele, Ilfov, 077125, Romania;2. National Institute for Laser, Plasma and Radiation Physics (INFLPR), Măgurele, Ilfov, 077125, Romania;1. Chemical and Petroleum Engineering Department, College of Engineering, UAE University, 15551 Al Ain, United Arab Emirates;2. Department of Mechanical Engineering, College of Engineering, UAE University, 15551 Al Ain, United Arab Emirates;3. Wood and Forest Sciences, Université Laval, 2425 rue de la Terrasse, Québec, Québec G1V 0A6, Canada;4. National Water and Energy Center, UAE University, 15551 Al Ain, United Arab Emirates;1. School of Automotive and Transportation Engineering, Hefei University of Technology, Hefei 230009, China;2. School of Civil Engineering, Anhui Jianzhu University, Hefei 230601, China;1. BMW Group, Ohmstraße 2, Landshut, Germany;2. Centre for Advanced Composite Materials, Department of Mechanical Engineering, The University of Auckland, Private Bag 92019, Auckland 1020, New Zealand;3. Institut für Textiltechnik, RWTH Aachen University, Otto-Blumenthal-Str. 1, 52074 Aachen, Germany;4. Institut für Verbundwerkstoffe GmbH, Erwin-Schrödinger-Str., Gebäude 58, Kaiserslautern, Germany
Abstract:The effective thermal conductivity in the volume-averaged temperature equation for the dual-scale porous media is estimated numerically. A finite-element simulation of a steady Newtonian flow in the unit cell of an idealized dual-scale porous medium is carried out and the relevant component of the effective thermal conductivity tensor is estimated from the resultant temperature and velocity fields. It is discovered that the conductivity is a strong function of Péclet number as well as inter-tow spacing, but is insensitive to the rate of tow wetting or the heat-flux from tows. We also conclude that the conductivity remains unchanged in the saturated as well as unsaturated flow regimes in dual-scale porous media.
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