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The numerical solution of gaseous slip flows in microtubes
Affiliation:1. School of Aeronautics, Northwestern Polytechnical University, Xi''an, 710072, China;2. Department of Engineering Science, University of Oxford, Oxford, OX1 3PJ, England, United Kingdom;1. School of Energy Resources, China University of Geosciences (Beijing), Beijing 100083, PR China;2. Coal Reservoir Laboratory of National CBM Engineering Center, Beijing 100083, PR China;3. Fundamental Experiment Center, China United Coalbed Methane National Engineering Research Center Co., Ltd, Beijing 100083, PR China;1. State Key Laboratory for Geomechanics and Deep Underground Engineering, China University of Mining and Technology, Xuzhou, Jiangsu 221116, China;2. Mechanics and Civil Engineering Institute, China University of Mining and Technology, Xuzhou City, Jiangsu Province 221116, China;3. Department of Chemical Engineering, School of Engineering, The University of Western Australia, WA 6009, Australia;1. College of Electrical, Energy and Power Engineering, Yangzhou University, Yangzhou 225127, China;2. College of Energy and Mechanical Engineering, Shanghai University of Electric Power, Shanghai 200090, China;1. College of Mechanical and Electrical Engineering, Jinggangshan University, 343009, Ji''an, PR China;2. College of Mechanical and Electrical Engineering, Nanjing University of Aeronautics and Astronautics, 210016, Nanjing, PR China;3. School of Mechanical Engineering, Tongji University, 201804, Shanghai, PR China
Abstract:The gaseous flow in a circular microtube is studied by using of a finite-difference technique. The influences of gas compressibility, rarefaction effect and temperature difference between inlet gas and tube wall on the mass flow rate are comprehensively described. The numerical results indicate that rarefaction effect decreases friction factor and increases mass flow rate due to velocity slip at tube wall. Although inlet Mach number in a microtube is low, gaseous compressibility effect may be significant, because in such a flow problem the length-diameter ratio of tube is usually large so that flow Reynolds number may change much more along the flow path.
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