Models and Problems in Electrohydrodynamics
A survey of mathematical models employed in modern electrohydrodynamics of weakly conducting fluids is given. The models are described in the order of increasing complexity. Some results obtained in the framework of each model are presented. The models considered include: the model of a unipolarly c...
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| Format: | Article |
| Language: | English |
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Kazan Federal University
2015-09-01
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| Series: | Учёные записки Казанского университета: Серия Физико-математические науки |
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| Online Access: | https://kpfu.ru/portal/docs/F_1234446637/157_3_phys_mat_2.pdf |
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| _version_ | 1850285306542030848 |
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| author | V.A. Polyansky I.L. Pankratieva |
| author_facet | V.A. Polyansky I.L. Pankratieva |
| author_sort | V.A. Polyansky |
| collection | DOAJ |
| description | A survey of mathematical models employed in modern electrohydrodynamics of weakly conducting fluids is given. The models are described in the order of increasing complexity. Some results obtained in the framework of each model are presented. The models considered include: the model of a unipolarly charged medium consisting of a continuous carrier fluid and an admixture of charged particles of the same sign; a more sophisticated two-ion model containing two charged admixtures of opposite signs; and the model with three different
kinds of ions. In the framework of the aforementioned models, it is possible to adequately
interpret almost all experimental data related to electrohydrodynamic flows that can be
found in the literature. Further elaboration of the model may be needed to simulate particular
electrochemical processes without introducing averaged (“effective”) macroscopic parameters.
Four basic phenomena of fluid electrization (generation of an uncompensated electric space
charge in the fluid) are described and analyzed. |
| format | Article |
| id | doaj-art-61abcf3776f1466781e4af0df20078a4 |
| institution | OA Journals |
| issn | 2541-7746 2500-2198 |
| language | English |
| publishDate | 2015-09-01 |
| publisher | Kazan Federal University |
| record_format | Article |
| series | Учёные записки Казанского университета: Серия Физико-математические науки |
| spelling | doaj-art-61abcf3776f1466781e4af0df20078a42025-08-20T01:47:19ZengKazan Federal UniversityУчёные записки Казанского университета: Серия Физико-математические науки2541-77462500-21982015-09-0115732133Models and Problems in ElectrohydrodynamicsV.A. Polyansky0I.L. Pankratieva1Institute of Mechanics, Moscow State University, Moscow, 119192 RussiaInstitute of Mechanics, Moscow State University, Moscow, 119192 RussiaA survey of mathematical models employed in modern electrohydrodynamics of weakly conducting fluids is given. The models are described in the order of increasing complexity. Some results obtained in the framework of each model are presented. The models considered include: the model of a unipolarly charged medium consisting of a continuous carrier fluid and an admixture of charged particles of the same sign; a more sophisticated two-ion model containing two charged admixtures of opposite signs; and the model with three different kinds of ions. In the framework of the aforementioned models, it is possible to adequately interpret almost all experimental data related to electrohydrodynamic flows that can be found in the literature. Further elaboration of the model may be needed to simulate particular electrochemical processes without introducing averaged (“effective”) macroscopic parameters. Four basic phenomena of fluid electrization (generation of an uncompensated electric space charge in the fluid) are described and analyzed.https://kpfu.ru/portal/docs/F_1234446637/157_3_phys_mat_2.pdfelectrohydrodynamicselectric fieldweakly conducting fluidmathematical modelelectric space chargeelectrochemical reactionselectrization |
| spellingShingle | V.A. Polyansky I.L. Pankratieva Models and Problems in Electrohydrodynamics Учёные записки Казанского университета: Серия Физико-математические науки electrohydrodynamics electric field weakly conducting fluid mathematical model electric space charge electrochemical reactions electrization |
| title | Models and Problems in Electrohydrodynamics |
| title_full | Models and Problems in Electrohydrodynamics |
| title_fullStr | Models and Problems in Electrohydrodynamics |
| title_full_unstemmed | Models and Problems in Electrohydrodynamics |
| title_short | Models and Problems in Electrohydrodynamics |
| title_sort | models and problems in electrohydrodynamics |
| topic | electrohydrodynamics electric field weakly conducting fluid mathematical model electric space charge electrochemical reactions electrization |
| url | https://kpfu.ru/portal/docs/F_1234446637/157_3_phys_mat_2.pdf |
| work_keys_str_mv | AT vapolyansky modelsandproblemsinelectrohydrodynamics AT ilpankratieva modelsandproblemsinelectrohydrodynamics |