Gas dynamics in channels of a gas-feed direct methanol fuel cell: exact solutions |
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| Affiliation: | 1. School of Automation and Electrical Engineering, University of Science and Technology Beijing, Beijing 100083, PR China;2. Key Laboratory of Systems and Control, Institute of Systems Science, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, PR China;1. Fuel Cell System and Engineering Laboratory, Dalian Institute of Chemical Physics, Chinese Academy of Sciences, 457 Zhongshan Road, Dalian 116023, PR China;2. Graduate School of the Chinese Academy of Sciences, Beijing 100039, PR China;1. Université de Toulouse, INPT, UPS, Laboratoire de Génie Chimique, 118 Route de Narbonne, F-31062 Toulouse, France;2. CNRS, UMR 5503, F-31062 Toulouse, France;1. College of Materials and Environmental Engineering, Hangzhou Dianzi University, Hangzhou, 310018, People''s Republic of China;2. Department of Metallurgical and Materials Engineering, The University of Alabama, Tuscaloosa, 35487, USA;1. Program in Nano Science and Technology, Graduate School of Convergence Science and Technology, Seoul National University, 145 Gwanggyo-ro, Yeongtong-gu, Suwon-si, Gyeonggi-do, 443-270, Republic of Korea;2. Advanced Institutes of Convergence Technology, 145 Gwanggyo-ro, Yeongtong-gu, Suwon-si, Gyeonggi-do, 443-270, Republic of Korea |
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| Abstract: | The gas dynamics in channels on both sides of a gas-feed direct methanol fuel cell (DFMC) are considered. The basic equations for the flow velocity and density are derived, taking into account the mass and momentum transfer through the channel/backing layer interface. For the practical case of small inlet velocities the analog of the Bernoulli equation is formulated and the exact solution of nonlinear gas dynamics equations is obtained. It is shown that the flow in both the cathode and anode channels is incompressible (its density is constant) and electrochemical reactions affect only the flow velocity v. Simple formulae for v as a function of local current density and effective water drag coefficient are derived. |
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