{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,17]],"date-time":"2026-04-17T09:04:26Z","timestamp":1776416666172,"version":"3.51.2"},"reference-count":26,"publisher":"MDPI AG","issue":"10","license":[{"start":{"date-parts":[[2018,10,15]],"date-time":"2018-10-15T00:00:00Z","timestamp":1539561600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100003093","name":"Ministry of Higher Education, Malaysia","doi-asserted-by":"publisher","award":["FRGS\/1\/2016\/TK03\/MMU\/01\/1."],"award-info":[{"award-number":["FRGS\/1\/2016\/TK03\/MMU\/01\/1."]}],"id":[{"id":"10.13039\/501100003093","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>The heat induced by viscous dissipation in a microchannel fluid, due to a small oscillating motion of the lower plate, is investigated for the first time. The methodology is by applying the momentum and energy equations and solving them for three cases of standard thermal boundary conditions. The first two cases involve symmetric boundary conditions of constant surface temperature on both plates and both plates insulated, respectively. The third case has the asymmetric conditions that the lower plate is insulated while the upper plate is maintained at constant temperature. Results reveal that, although the fluid velocity is only depending on the oscillation rate of the plate, the temperature field for all three cases show that the induced heating is dependent on the oscillation rate of the plate, but strongly dependent on the parameters Brinkman number and Prandtl number. All three cases prove that the increasing oscillation rate or Brinkman number and decreasing Prandtl number, when it is less than unity, will significantly increase the temperature field. The present model is applied to the synovial fluid motion in artificial hip implant and results in heat induced by viscous dissipation for the second case shows remarkably close agreement with the experimental literature.<\/jats:p>","DOI":"10.3390\/sym10100499","type":"journal-article","created":{"date-parts":[[2018,10,16]],"date-time":"2018-10-16T02:52:53Z","timestamp":1539658373000},"page":"499","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":7,"title":["Heat Induction by Viscous Dissipation Subjected to Symmetric and Asymmetric Boundary Conditions on a Small Oscillating Flow in a Microchannel"],"prefix":"10.3390","volume":"10","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-3884-5992","authenticated-orcid":false,"given":"Chih Ping","family":"Tso","sequence":"first","affiliation":[{"name":"Multimedia University, Faculty of Engineering and Technology, Jalan Ayer Keroh Lama, Melaka 75450, Malaysia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4356-4052","authenticated-orcid":false,"given":"Chee Hao","family":"Hor","sequence":"additional","affiliation":[{"name":"Multimedia University, Faculty of Engineering and Technology, Jalan Ayer Keroh Lama, Melaka 75450, Malaysia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Gooi Mee","family":"Chen","sequence":"additional","affiliation":[{"name":"Multimedia University, Faculty of Engineering and Technology, Jalan Ayer Keroh Lama, Melaka 75450, Malaysia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Chee Kuang","family":"Kok","sequence":"additional","affiliation":[{"name":"Multimedia University, Faculty of Engineering and Technology, Jalan Ayer Keroh Lama, Melaka 75450, Malaysia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2018,10,15]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"856","DOI":"10.1016\/j.apenergy.2005.08.005","article-title":"Laminar forced convection with viscous dissipation in a couette\u2013poiseuille flow between parallel plates","volume":"83","year":"2006","journal-title":"Appl. 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