Smoluchowski's problem for molecular gases taking the accommodation coefficients of the translational and rotational energy of the molecules into account |
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| Institution: | 1. Key Laboratory of Unconventional Oil & Gas Development (China University of Petroleum (East China)), Ministry of Education, Qingdao 266580, China;2. School of Petroleum Engineering, China University of Petroleum (East China), Qingdao 266580, China;3. School of Mining and Petroleum Engineering, Department of Civil and Environmental Engineering, University of Alberta, Edmonton, AB T6G 1H9, Canada;1. Dpto. E.D.A.N., Universidad de Sevilla, Aptdo. 1160, 41080 Sevilla, Spain;2. Inst. Matemática - Universidade Federal Fluminense, RJ, Brazil;3. Dpto. Matemática - Universidade Federal do Ceará, CE, Brazil;1. Department of Mechanical Engineering, Najafabad Branch, Islamic Azad University, Najafabad, Iran;2. Department of Mechanical Engineering, Khomeinishahr Branch, Islamic Azad University, Khomeinishahr, Iran;1. Divison of Computational Mathematics and Engineering, Institute for Computational Science, Ton Duc Thang University, Ho Chi Minh City, Viet Nam;2. Faculty of Civil Engineering, Ton Duc Thang University, Ho Chi Minh City, Viet Nam;3. High Performance Computing (HPC) Laboratory, Department of Mechanical Engineering, Faculty of Engineering, Ferdowsi University of Mashhad, P.O. Box 91775-1111, Mashhad, Iran;4. Faculty of Mechanical Engineering, Industrial University of Ho Chi Minh City, Viet Nam |
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| Abstract: | The effect of the accommodation coefficients of the energy of translational and rotational motion of molecules on the temperature jump in the classical Smoluchowski problem is investigated. Using the extension of the well-known kinetic BKW (Boltzmann-Krook-Welander) equation to the case of molecular gases, an analytical solution of this problem is obtained for diatomic and polyatomic gases taking the rotational degrees of freedom into account. A numerical analysis of the results obtained is carried out. |
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