{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,26]],"date-time":"2026-03-26T13:09:44Z","timestamp":1774530584461,"version":"3.50.1"},"reference-count":13,"publisher":"Cambridge University Press (CUP)","license":[{"start":{"date-parts":[[2008,2,1]],"date-time":"2008-02-01T00:00:00Z","timestamp":1201824000000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. Fluid Mech."],"published-print":{"date-parts":[[2008,2,25]]},"abstract":"<jats:p>We examine steady flows of a thin film of viscous fluid on the inside of a cylinder with horizontal axis, rotating about this axis. If the amount of fluid in the cylinder is sufficiently small, all of it is entrained by rotation and the film is distributed more or less evenly. For medium amounts, the fluid accumulates on the \u2018rising\u2019 side of the cylinder and, for large ones, pools at the cylinder's bottom. The paper examines rimming flows with a pool affected by weak surface tension. Using the lubrication approximation and the method of matched asymptotics, we find a solution describing the pool, the \u2018outer\u2019 region, and two transitional regions, one of which includes a variable (depending on the small parameter) number of asymptotic zones.<\/jats:p>","DOI":"10.1017\/s0022112007009585","type":"journal-article","created":{"date-parts":[[2008,2,1]],"date-time":"2008-02-01T05:40:43Z","timestamp":1201844443000},"page":"91-118","source":"Crossref","is-referenced-by-count":42,"title":["Steady rimming flows with surface tension"],"prefix":"10.1017","volume":"597","author":[{"given":"E. S.","family":"BENILOV","sequence":"first","affiliation":[]},{"given":"M. S.","family":"BENILOV","sequence":"additional","affiliation":[]},{"given":"N.","family":"KOPTEVA","sequence":"additional","affiliation":[]}],"member":"56","published-online":{"date-parts":[[2008,2,1]]},"reference":[{"key":"S0022112007009585_ref1","doi-asserted-by":"publisher","DOI":"10.1017\/S0022112002003312"},{"key":"S0022112007009585_ref13","doi-asserted-by":"publisher","DOI":"10.1017\/S0022112083000452"},{"key":"S0022112007009585_ref9","doi-asserted-by":"publisher","DOI":"10.1090\/qam\/1900490"},{"key":"S0022112007009585_ref7","first-page":"42","article-title":"Dragging of liquid by a plate","volume":"17","author":"Landau","year":"1942","journal-title":"Acta Physiochim. USSR"},{"key":"S0022112007009585_ref6","unstructured":"Johnson R. E. 1990 Coating flow stability in rotating molding. In Engineering Science, Fluid Dynamics: A Symposium to Honor T.Y. Wu (ed. Yates G. T. ), pp. 435\u2013449. World Scientific."},{"key":"S0022112007009585_ref10","doi-asserted-by":"publisher","DOI":"10.1063\/1.869630"},{"key":"S0022112007009585_ref11","volume-title":"Numerical Recipes","author":"Press","year":"1992"},{"key":"S0022112007009585_ref8","first-page":"651","article-title":"Behaviour of a viscous film on the outer surface of a rotating cylinder","volume":"16","author":"Moffatt","year":"1977","journal-title":"J. Fluid Mech."},{"key":"S0022112007009585_ref4","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9781139172189"},{"key":"S0022112007009585_ref12","doi-asserted-by":"publisher","DOI":"10.1007\/BF00042717"},{"key":"S0022112007009585_ref3","unstructured":"Benjamin T. B. , Pritchard W. G. & Tavener S. J. 1993 Steady and unsteady flows of a highly viscous liquid inside a rotating horizontal cylinder. Unpublished manuscript."},{"key":"S0022112007009585_ref5","doi-asserted-by":"publisher","DOI":"10.1017\/S0022112092001927"},{"key":"S0022112007009585_ref2","doi-asserted-by":"publisher","DOI":"10.1063\/1.1905964"}],"container-title":["Journal of Fluid Mechanics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0022112007009585","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,6]],"date-time":"2019-06-06T13:57:03Z","timestamp":1559829423000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0022112007009585\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2008,2,1]]},"references-count":13,"alternative-id":["S0022112007009585"],"URL":"https:\/\/doi.org\/10.1017\/s0022112007009585","relation":{},"ISSN":["0022-1120","1469-7645"],"issn-type":[{"value":"0022-1120","type":"print"},{"value":"1469-7645","type":"electronic"}],"subject":[],"published":{"date-parts":[[2008,2,1]]}}}