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A Legendre expansion and some exact solutions basic to the McCormack model for binary gas mixtures
Affiliation:1. College of Pipeline and Civil Engineering, China University of Petroleum (East China), Qingdao, 266580, China;2. Shandong Provincial Key Laboratory of Oil & Gas Storage and Transportation Safety, Qingdao, 266580, China;3. South China Branch, Sinopec Sales Co., Ltd, Guangzhou, 510620, China;1. China University of Petroleum (East China), College of Pipeline and Civil Engineering, Qingdao 266580, China;2. Shandong Provincial Key Laboratory of Oil and Gas Storage and Transportation Safety, Qingdao 266580, China;1. Aix-Marseille Université, CNRS, IUSTI UMR 7343, 13453 Marseille, France;2. James Weir Fluids Laboratory, Department of Mechanical and Aerospace Engineering, University of Strathclyde, Glasgow G1 1XJ, UK;3. School of Engineering, University of Edinburgh, Edinburgh EH9 3JL, UK;1. Instituto de Estudos Avançados, Trevo Cel. Av. José Alberto Albano do Amarante nº 1, São José dos Campos, SP 12228-001, Brazil;2. Mathematics Department, North Carolina State University, Raleigh, NC 27695-8205, USA
Abstract:A Legendre expansion of the scattering kernel, a conservation condition and some exact solutions are reported for the McCormack kinetic model that is used to describe a binary mixture of rarefied gases.
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