{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,11]],"date-time":"2026-04-11T05:46:37Z","timestamp":1775886397998,"version":"3.50.1"},"reference-count":28,"publisher":"MDPI AG","issue":"12","license":[{"start":{"date-parts":[[2018,12,17]],"date-time":"2018-12-17T00:00:00Z","timestamp":1545004800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/100007562","name":"Chuo University","doi-asserted-by":"publisher","award":["Chuo University Grant for Special Research"],"award-info":[{"award-number":["Chuo University Grant for Special Research"]}],"id":[{"id":"10.13039\/100007562","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100010795","name":"Tokyo Ohka Foundation for The Promotion of Science and Technology","doi-asserted-by":"publisher","award":["17111"],"award-info":[{"award-number":["17111"]}],"id":[{"id":"10.13039\/501100010795","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Micromachines"],"abstract":"<jats:p>The steady streaming (SS) phenomenon is gaining increased attention in the microfluidics community, because it can generate net mass flow from zero-mean vibration. We developed numerical simulation and experimental measurement tools to analyze this vibration-induced flow, which has been challenging due to its unsteady nature. The validity of these analysis methods is confirmed by comparing the three-dimensional (3D) flow field and the resulting particle trajectories induced around a cylindrical micro-pillar under circular vibration. In the numerical modeling, we directly solved the flow in the Lagrangian frame so that the substrate with a micro-pillar becomes stationary, and the results were converted to a stationary Eulerian frame to compare with the experimental results. The present approach enables us to avoid the introduction of a moving boundary or infinitesimal perturbation approximation. The flow field obtained by the micron-resolution particle image velocimetry (micro-PIV) measurement supported the three-dimensionality observed in the numerical results, which could be important for controlling the mass transport and manipulating particulate objects in microfluidic systems.<\/jats:p>","DOI":"10.3390\/mi9120668","type":"journal-article","created":{"date-parts":[[2018,12,18]],"date-time":"2018-12-18T02:15:59Z","timestamp":1545099359000},"page":"668","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":10,"title":["Numerical and Experimental Analyses of Three-Dimensional Unsteady Flow around a Micro-Pillar Subjected to Rotational Vibration"],"prefix":"10.3390","volume":"9","author":[{"given":"Kanji","family":"Kaneko","sequence":"first","affiliation":[{"name":"Faculty of Science and Engineering, Chuo University, Tokyo 112-8551, Japan"},{"name":"Institute of Industrial Science, The University of Tokyo, Tokyo 153-8505, Japan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Takayuki","family":"Osawa","sequence":"additional","affiliation":[{"name":"Institute of Industrial Science, The University of Tokyo, Tokyo 153-8505, Japan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yukinori","family":"Kametani","sequence":"additional","affiliation":[{"name":"Institute of Industrial Science, The University of Tokyo, Tokyo 153-8505, Japan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8420-3758","authenticated-orcid":false,"given":"Takeshi","family":"Hayakawa","sequence":"additional","affiliation":[{"name":"Faculty of Science and Engineering, Chuo University, Tokyo 112-8551, Japan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yosuke","family":"Hasegawa","sequence":"additional","affiliation":[{"name":"Institute of Industrial Science, The University of Tokyo, Tokyo 153-8505, Japan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8899-0955","authenticated-orcid":false,"given":"Hiroaki","family":"Suzuki","sequence":"additional","affiliation":[{"name":"Faculty of Science and Engineering, Chuo University, Tokyo 112-8551, Japan"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2018,12,17]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"2438","DOI":"10.1039\/c2lc40203c","article-title":"Acoustofluidics 14: Applications of acoustic streaming in microfluidic devices","volume":"12","author":"Wiklund","year":"2012","journal-title":"Lab Chip"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"021501","DOI":"10.1063\/1.4799787","article-title":"Hydrodynamic mechanisms of cell and particle trapping in microfluidics","volume":"7","author":"Karimi","year":"2013","journal-title":"Biomicrofluidics"},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"074102","DOI":"10.1063\/1.4746247","article-title":"Local streamline generation by mechanical oscillation in a microfluidic chip for noncontact cell manipulations","volume":"101","author":"Hagiwara","year":"2012","journal-title":"Appl. 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