{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T04:03:41Z","timestamp":1760241821289,"version":"build-2065373602"},"reference-count":32,"publisher":"MDPI AG","issue":"10","license":[{"start":{"date-parts":[[2018,9,26]],"date-time":"2018-09-26T00:00:00Z","timestamp":1537920000000},"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":["11502237, 11872337"],"award-info":[{"award-number":["11502237, 11872337"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>Entropy generation rates in two-dimensional Rayleigh\u2013Taylor (RT) turbulence mixing are investigated by numerical calculation. We mainly focus on the behavior of thermal entropy generation and viscous entropy generation of global quantities with time evolution in Rayleigh\u2013Taylor turbulence mixing. Our results mainly indicate that, with time evolution, the intense viscous entropy generation rate      s u      and the intense thermal entropy generation rate      S \u03b8      occur in the large gradient of velocity and interfaces between hot and cold fluids in the RT mixing process. Furthermore, it is also noted that the mixed changing gradient of two quantities from the center of the region to both sides decrease as time evolves, and that the viscous entropy generation rate        \u27e8   S u   \u27e9   V      and thermal entropy generation rate        \u27e8   S \u03b8   \u27e9   V      constantly increase with time evolution; the thermal entropy generation rate        \u27e8   S \u03b8   \u27e9   V      with time evolution always dominates in the entropy generation of the RT mixing region. It is further found that a \u201csmooth\u201d function        \u27e8   S u   \u27e9   V  \u223c  t  1 \/ 2       and a linear function        \u27e8   S \u03b8   \u27e9   V  \u223c t     are achieved in the spatial averaging entropy generation of RT mixing process, respectively.<\/jats:p>","DOI":"10.3390\/e20100738","type":"journal-article","created":{"date-parts":[[2018,9,26]],"date-time":"2018-09-26T10:39:58Z","timestamp":1537958398000},"page":"738","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":8,"title":["Entropy Generation Rates in Two-Dimensional Rayleigh\u2013Taylor Turbulence Mixing"],"prefix":"10.3390","volume":"20","author":[{"given":"Xinyu","family":"Yang","sequence":"first","affiliation":[{"name":"Faculty of Mechanical Engineering and Automation, Zhejiang Sci-Tech University, Hangzhou 310018, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Haijiang","family":"He","sequence":"additional","affiliation":[{"name":"Zhejiang Yilida Ventilator Company, Taizhou 318056, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jun","family":"Xu","sequence":"additional","affiliation":[{"name":"Zhejiang Yilida Ventilator Company, Taizhou 318056, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yikun","family":"Wei","sequence":"additional","affiliation":[{"name":"Faculty of Mechanical Engineering and Automation, Zhejiang Sci-Tech University, Hangzhou 310018, China"},{"name":"State-Province Joint Engineering Lab of Fluid Transmission System Technology, Hangzhou 310018, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hua","family":"Zhang","sequence":"additional","affiliation":[{"name":"Faculty of Mechanical Engineering and Automation, Zhejiang Sci-Tech University, Hangzhou 310018, China"},{"name":"College of Energy Engineering, Zhejiang University, Hangzhou 310018, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2018,9,26]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"335","DOI":"10.1146\/annurev.fluid.010908.165152","article-title":"Small-scale properties of turbulent Rayleigh-B\u00e9nard convection","volume":"42","author":"Lohse","year":"2010","journal-title":"Annu. 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