{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,11]],"date-time":"2026-05-11T23:25:49Z","timestamp":1778541949253,"version":"3.51.4"},"reference-count":127,"publisher":"MDPI AG","issue":"9","license":[{"start":{"date-parts":[[2024,9,21]],"date-time":"2024-09-21T00:00:00Z","timestamp":1726876800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Applied Fundamental Research Program of Shanxi Province","award":["202303021221036"],"award-info":[{"award-number":["202303021221036"]}]},{"name":"Applied Fundamental Research Program of Shanxi Province","award":["20230135"],"award-info":[{"award-number":["20230135"]}]},{"name":"Undergraduate Innovation and Entrepreneurship Training Program of Shanxi Province","award":["202303021221036"],"award-info":[{"award-number":["202303021221036"]}]},{"name":"Undergraduate Innovation and Entrepreneurship Training Program of Shanxi Province","award":["20230135"],"award-info":[{"award-number":["20230135"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>The measurement of mixing time in a water model of soft-stirring steelmaking ladles is practically facing a problem of bad repeatability. This uncertainty severely affects both the understandings of transport phenomenon in ladles and the measurement accuracy. Scaled down by a ratio of 1:4, a water model based on an industrial 260-ton ladle is used. This paper studies the transport process paths and mixing time of salt solution tracers in the water model of eccentric gas-stirred ladles with a low gas flow rate. After a large number of repeated experiments, the different transport paths of the tracer and the error of the mixing time in each transport path are discussed and compared with the numerical simulation results. The results of a large number of repeated experiments on the water model show that there are five transport paths for the tracer in the ladle. The tracer of the first path is mainly transported by the left-side main circulation flow, which is identical to the numerical simulation results. The tracer of the second and third paths are also mainly transported by the left-side circulation flow, but bifurcations occur when the tracer in the middle area is transported downward. In the third path, the portion and intensity of the tracer transferring to the right side from the central region is higher than in the second path. The fourth path is that the tracer is transported downward from the left, middle, and right sides with a similar intensity at the same time. While the tracer in the fifth path is mainly transported on the right side, and the tracer forms a clockwise circulation flow on the right side. The mixing times from the first transport path to the fifth transport path are 158.3 s, 149.7 s, 171.7 s, 134 s and 95.7 s, respectively, among which the third transport path and the fifth transport path are the maximum and minimum values among all transport paths. The error between the mixing time and the averaged mixing time at each monitoring point in the five transport paths of the tracer is between \u221234.7% and 40.9%. Furthermore, the error of the averaged mixing time of each path and the path-based average value is between 5.5% and 32.6%.<\/jats:p>","DOI":"10.3390\/sym16091241","type":"journal-article","created":{"date-parts":[[2024,9,23]],"date-time":"2024-09-23T03:36:38Z","timestamp":1727062598000},"page":"1241","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":11,"title":["Assessment of Measured Mixing Time in a Water Model of Eccentric Gas-Stirred Ladle with a Low Gas Flow Rate: Tendency of Salt Solution Tracer Dispersions"],"prefix":"10.3390","volume":"16","author":[{"given":"Xin","family":"Tao","sequence":"first","affiliation":[{"name":"College of Materials Science and Engineering, Taiyuan University of Technology, Taiyuan 030024, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hongyu","family":"Qi","sequence":"additional","affiliation":[{"name":"College of Materials Science and Engineering, Taiyuan University of Technology, Taiyuan 030024, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zhijie","family":"Guo","sequence":"additional","affiliation":[{"name":"Collaborative Innovation Center of Steel Technology, University of Science and Technology Beijing, Beijing 100083, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jia","family":"Wang","sequence":"additional","affiliation":[{"name":"College of Materials Science and Engineering, Taiyuan University of Technology, Taiyuan 030024, China"},{"name":"College of Architecture and Arts, Taiyuan University of Technology, Taiyuan 030024, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xiaoge","family":"Wang","sequence":"additional","affiliation":[{"name":"Department of Metallurgical Engineering, Shanxi Engineering Vocational College, Taiyuan 030009, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jundi","family":"Yang","sequence":"additional","affiliation":[{"name":"College of Materials Science and Engineering, Taiyuan University of Technology, Taiyuan 030024, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Qi","family":"Zhao","sequence":"additional","affiliation":[{"name":"College of Materials Science and Engineering, Taiyuan University of Technology, Taiyuan 030024, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Wanming","family":"Lin","sequence":"additional","affiliation":[{"name":"College of Materials Science and Engineering, Taiyuan University of Technology, Taiyuan 030024, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Kun","family":"Yang","sequence":"additional","affiliation":[{"name":"College of Mechanical Engineering, Taiyuan University of Technology, Taiyuan 030024, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7953-1127","authenticated-orcid":false,"given":"Chao","family":"Chen","sequence":"additional","affiliation":[{"name":"College of Materials Science and Engineering, Taiyuan University of Technology, Taiyuan 030024, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2024,9,21]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Szekely, J., Carlsson, G., and Helle, L. 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