{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T01:07:16Z","timestamp":1760058436807,"version":"build-2065373602"},"reference-count":31,"publisher":"MDPI AG","issue":"4","license":[{"start":{"date-parts":[[2025,4,1]],"date-time":"2025-04-01T00:00:00Z","timestamp":1743465600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"National Academy of Sciences of Ukraine","award":["6541230","2025\u20132027 (1230)"],"award-info":[{"award-number":["6541230","2025\u20132027 (1230)"]}]},{"name":"\u201cSupport of priority for the state scientific researches and scientific and technical (experimental) developments\u201d","award":["6541230","2025\u20132027 (1230)"],"award-info":[{"award-number":["6541230","2025\u20132027 (1230)"]}]},{"name":"\u201cDevelopment of distributed energy based on the use of gas turbine and gas piston technologies and local alternative fuels during the period of martial law and the restoration of Ukraine\u201d","award":["6541230","2025\u20132027 (1230)"],"award-info":[{"award-number":["6541230","2025\u20132027 (1230)"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Computation"],"abstract":"<jats:p>The article presents results of an analytical and numerical modeling of electron fluid motion and heat generation in a rectangular conductor at an alternating electric potential. The analytical solution is based on the series expansion solution (Fourier method) and double series solution (method of eigenfunction decomposition). The numerical solution is based on the lattice Boltzmann method (LBM). An analytical solution for the electric current was obtained. This enables estimating the heat generation in the conductor and determining the influence of the parameters characterizing the conductor dimensions, the parameter M (phenomenological transport time describing momentum-nonconserving collisions), the Knudsen number (mean free path for momentum-nonconserving) and the Sh number (frequency) on the heat generation rate as an electron flow passes through a conductor.<\/jats:p>","DOI":"10.3390\/computation13040090","type":"journal-article","created":{"date-parts":[[2025,4,2]],"date-time":"2025-04-02T16:26:31Z","timestamp":1743611191000},"page":"90","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Oscillation Flow of Viscous Electron Fluids in Conductors of Rectangular Cross-Section"],"prefix":"10.3390","volume":"13","author":[{"given":"Andriy A.","family":"Avramenko","sequence":"first","affiliation":[{"name":"Institute of Engineering Thermophysics, National Academy of Sciences, 03057 Kiev, Ukraine"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4640-4839","authenticated-orcid":false,"given":"Igor V.","family":"Shevchuk","sequence":"additional","affiliation":[{"name":"Faculty of Computer Science and Engineering Science, TH K\u00f6ln\u2014University of Applied Sciences, 51643 Gummersbach, Germany"}]},{"ORCID":"https:\/\/orcid.org\/0009-0001-2643-3010","authenticated-orcid":false,"given":"Nataliia P.","family":"Dmitrenko","sequence":"additional","affiliation":[{"name":"Institute of Engineering Thermophysics, National Academy of Sciences, 03057 Kiev, Ukraine"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2454-9113","authenticated-orcid":false,"given":"Andriy I.","family":"Tyrinov","sequence":"additional","affiliation":[{"name":"Institute of Engineering Thermophysics, National Academy of Sciences, 03057 Kiev, Ukraine"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4759-274X","authenticated-orcid":false,"given":"Yiliia Y.","family":"Kovetska","sequence":"additional","affiliation":[{"name":"Institute of Engineering Thermophysics, National Academy of Sciences, 03057 Kiev, Ukraine"}]},{"ORCID":"https:\/\/orcid.org\/0009-0000-5598-6864","authenticated-orcid":false,"given":"Andriy S.","family":"Kobzar","sequence":"additional","affiliation":[{"name":"Institute of Engineering Thermophysics, National Academy of Sciences, 03057 Kiev, Ukraine"}]}],"member":"1968","published-online":{"date-parts":[[2025,4,1]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"1055","DOI":"10.1126\/science.aad0201","article-title":"Negative local resistance caused by viscous electron backflow in graphene","volume":"351","author":"Bandurin","year":"2015","journal-title":"Science"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"635","DOI":"10.1016\/j.cjph.2023.12.010","article-title":"Oscillating flow of viscous electron fluids","volume":"87","author":"Avramenko","year":"2024","journal-title":"Chin. 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