{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,2]],"date-time":"2025-12-02T18:42:31Z","timestamp":1764700951006,"version":"build-2065373602"},"reference-count":24,"publisher":"MDPI AG","issue":"4","license":[{"start":{"date-parts":[[2022,4,8]],"date-time":"2022-04-08T00:00:00Z","timestamp":1649376000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["12132015"],"award-info":[{"award-number":["12132015"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>The Reynolds averaged N-S equation and dynamic equation for nanoparticles are numerically solved in the two-phase flow around cylinders, and the distributions of the concentration M0 and geometric mean diameter dg of particles are given. Some of the results are validated by comparing with previous results. The effects of particle coagulation and breakage and the initial particle concentration m00 and size d0 on the particle distribution are analyzed. The results show that for the flow around a single cylinder, M0 is reduced along the flow direction. Placing a cylinder in a uniform flow will promote particle breakage. For the flow around multiple cylinders, the values of M0 behind the cylinders oscillate along the spanwise direction, and the wake region in the flow direction is shorter than that for the flow around a single cylinder. For the initial monodisperse particles, the values of dg increase along the flow direction and the effect of particle coagulation is larger than that of particle breakage. The values of dg fluctuate along the spanwise direction; the closer to the cylinders, the more frequent the fluctuations of dg values. For the initial polydisperse particles with d0 = 98 nm and geometric standard deviation \u03c3 = 1.65, the variations of dg values along the flow and spanwise directions show the same trend as for the initial monodisperse particles, although the differences are that the values of dg are almost the same for the cases with and without considering particle breakage, while the distribution of dg along the spanwise direction is flatter in the case with initial polydisperse particles.<\/jats:p>","DOI":"10.3390\/e24040526","type":"journal-article","created":{"date-parts":[[2022,4,8]],"date-time":"2022-04-08T12:11:14Z","timestamp":1649419874000},"page":"526","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Numerical Study on the Coagulation and Breakage of Nanoparticles in the Two-Phase Flow around Cylinders"],"prefix":"10.3390","volume":"24","author":[{"given":"Ruifang","family":"Shi","sequence":"first","affiliation":[{"name":"State Key Laboratory of Fluid Power and Mechatronic System, Zhejiang University, Hangzhou 310027, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8418-1176","authenticated-orcid":false,"given":"Jianzhong","family":"Lin","sequence":"additional","affiliation":[{"name":"State Key Laboratory of Fluid Power and Mechatronic System, Zhejiang University, Hangzhou 310027, China"},{"name":"Laboratory of Impact and Safety Engineering, Ningbo University, Ministry of Education, Ningbo 315201, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6824-0129","authenticated-orcid":false,"given":"Hailin","family":"Yang","sequence":"additional","affiliation":[{"name":"State Key Laboratory of Fluid Power and Mechatronic System, Zhejiang University, Hangzhou 310027, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2022,4,8]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"130","DOI":"10.1016\/j.compfluid.2011.09.007","article-title":"Numerical investigation of dispersed gas-solid two-phase flow around a circular cylinder using lattice Boltzmann method","volume":"52","author":"Zhou","year":"2011","journal-title":"Comput. 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