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Innovative investigation on ion flows by an ad hoc Lagrangian formulation
Affiliation:1. Key Laboratory of Polyoxometalate, Science of Ministry of Education, Faculty of Chemistry, Northeast Normal University, 5268 Renmin Street, Changchun 130024, PR China;2. Key Laboratory for Photonic and Electronic Bandgap Materials, Ministry of Education, Harbin Normal University, 150025, PR China;3. The Second Clinical Hospital of Jilin University, Jilin University, Changchun 130020, PR China;1. College of Food Science, Fujian Agriculture and Forestry University, Fuzhou, Fujian 350002, China;2. U.S. Department of Agriculture, Agricultural Research Service, Eastern Regional Research Center, 600 E. Mermaid Lane, Wyndmoor, PA 19038, USA;3. Department of Chemical Engineering, Meizhouwan Vocational Technology College, Putian, Fujian 351254, China;1. IFP Energies nouvelles, Rond-point de l’échangeur de Solaize, BP 3, 69360 Solaize, France;2. Institut de Recherches sur la Catalyse et l’Environnement de Lyon (IRCELYON), UMR5256 CNRS – Université Lyon I, 2 avenue Albert Einstein, 69626 Villeurbanne cedex, France
Abstract:A specialised Lagrangian formulation is here recommended to describe the main performances of unipolar ion flows driven by partial discharges. The subject fits into a number of electrostatic applications also governed by fluid-dynamic laws, which is why it needs careful examination by a solid and comprehensive approach. A reasoned selection of referential case studies are proposed in order to better appreciate the value of this predictive framework. The interdisciplinary character of the general problem under examination makes the role of the Lagrangian approach pivotal for the physical interpretation of theoretical results. These are given by resolving the Euler-Lagrange differential equation associated to individual examples.
Keywords:Lagrangian formulation  Space charge  Unipolar corona  Partial discharges  Ion flow  Coupled problems
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