{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T02:21:33Z","timestamp":1760235693783,"version":"build-2065373602"},"reference-count":17,"publisher":"MDPI AG","issue":"9","license":[{"start":{"date-parts":[[2021,9,18]],"date-time":"2021-09-18T00:00:00Z","timestamp":1631923200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>The present study addresses the discrete simulation of the flow of concentrated suspensions encountered in the forming processes involving reinforced polymers, and more particularly the statistical characterization and description of the effects of the intense fiber interaction, occurring during the development of the flow induced orientation, on the fibers\u2019 geometrical center trajectory. The number of interactions as well as the interaction intensity will depend on the fiber volume fraction and the applied shear, which should affect the stochastic trajectory. Topological data analysis (TDA) will be applied on the geometrical center trajectories of the simulated fiber to prove that a characteristic pattern can be extracted depending on the flow conditions (concentration and shear rate). This work proves that TDA allows capturing and extracting from the so-called persistence image, a pattern that characterizes the dependence of the fiber trajectory on the flow kinematics and the suspension concentration. Such a pattern could be used for classification and modeling purposes, in rheology or during processing monitoring.<\/jats:p>","DOI":"10.3390\/e23091229","type":"journal-article","created":{"date-parts":[[2021,9,20]],"date-time":"2021-09-20T07:52:14Z","timestamp":1632124334000},"page":"1229","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Study of Concentrated Short Fiber Suspensions in Flows, Using Topological Data Analysis"],"prefix":"10.3390","volume":"23","author":[{"given":"Rabih","family":"Mezher","sequence":"first","affiliation":[{"name":"College of Engineering and Technology, American University of the Middle East, Egaila 54200, Kuwait"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0264-7687","authenticated-orcid":false,"given":"Jack","family":"Arayro","sequence":"additional","affiliation":[{"name":"College of Engineering and Technology, American University of the Middle East, Egaila 54200, Kuwait"}]},{"given":"Nicolas","family":"Hascoet","sequence":"additional","affiliation":[{"name":"PIMM Lab, ESI Group Chair, Arts et Metiers Institute of Technology, 151 Boulevard de Hopital, 75013 Paris, France"}]},{"given":"Francisco","family":"Chinesta","sequence":"additional","affiliation":[{"name":"PIMM Lab, ESI Group Chair, Arts et Metiers Institute of Technology, 151 Boulevard de Hopital, 75013 Paris, France"}]}],"member":"1968","published-online":{"date-parts":[[2021,9,18]]},"reference":[{"key":"ref_1","first-page":"161","article-title":"The motion of ellipsoidal particles immersed in a viscous fluid","volume":"A102","author":"Jeffery","year":"1922","journal-title":"Proc. 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