Determination of added fluid area in the homogenization model of beam bundles |
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| Institution: | 1. Key Laboratory of Solid Mechanics of the Ministry of Education of China, Tongji University, Shanghai, China;2. Department of Applied Mathematics, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong;1. Civil and Environmental Engineering Department, VJTI, Mumbai, MH, India;2. Department of Civil Engineering, Dr. B.A.T.U, Vidyavihar, Lonere, MH, India;1. The University of Manchester, Manchester, M13 9PL, UK;2. The Cockcroft Institute, Daresbury, WA4 4AD, UK;3. The University of Liverpool, Liverpool, Merseyside, L69 3GH, UK;1. Institute of Energy and Climate Research, Techno-economic Systems Analysis (IEK-3), Forschungszentrum Jülich GmbH, Wilhelm-Johnen-Str., D-52428, Germany;2. Institute of Energy and Climate Research, Electrochemical Process Engineering (IEK-14), Forschungszentrum Jülich GmbH, Wilhelm-Johnen-Str., D-52428, Germany;3. Chair for Fuel Cells, RWTH Aachen University, c/o Institute of Energy and Climate Research, Techno-economic Systems Analysis (IEK-3), Forschungszentrum Jülich GmbH, Wilhelm-Johnen-Str., D-52428, Germany;1. Department of Nuclear Reactors, Faculty of Nuclear Science and Physical Engineering, Czech Technical University in Prague, V Holesovickach 2, 180 00 Prague 8, Czech Republic;2. University of Tennessee, Knoxville, Department of Nuclear Engineering, Tennessee, USA;1. Johan Gadolin Process Chemistry Centre, Åbo Akademi University, Turku, Finland;2. University of Turku, Turku, Finland;3. University of Pardubice, Czech Republic |
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| Abstract: | A unique scalar parameter arises in the 3-D homogenization model for the beam bundle, which has the significance of the added fluid area fraction. The parameter is determined by solving a local problem defined on a unit cell, and its relation to the porosity of the bundle is investigated in this paper. This is made possible by obtaining an analytical solution of the local problem based on Weierstrass’s doubly periodic functions. |
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