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Free surface model derived from the analytical solution of stokes flow in a wedge / R. W. Hewson in Transactions of the ASME . Journal of fluids engineering, Vol. 131 N° 4 (Avril 2009) 

Public ISBD [article]  in Transactions of the ASME . Journal of fluids engineering > Vol. 131 N° 4 (Avril 2009) . - 05 p. Titre : Free surface model derived from the analytical solution of stokes flow in a wedge Type de document : texte imprimé Auteurs : R. W. Hewson, Auteur Année de publication : 2009 Article en page(s) : 05 p. Note générale : fluids engineering Langues : Anglais (eng) Mots-clés : flow  (dynamics);  lubrication;  coating  processes;  coatings;  finite  element  methods;  differential  equations;  finite  element  analysis;  boundary-value  problems;  creeping  flow;  equations;  film  thickness;  finite  element  model;  wedges;  lubrication  theory Résumé : The formation of a thin liquid film onto a moving substrate is a commonly encountered industrial process, and one that is encountered in lubrication, oil extraction processes, and coating flows. The formation of such a film is analyzed via the analytical Stokes flow solution for the flow in a wedge bounded on one side by a free surface and on the other by a moving surface. The full solution is obtained by numerically integrating a set of ordinary differential equations from far downstream, in the region of the final film thickness. The results show excellent agreement with the results obtained by the Bretherton equation, the Ruschak equation, the Coyne and Elrod model, and a two-dimensional free surface finite element simulation of the problem. En ligne : http://fluidsengineering.asmedigitalcollection.asme.org/issue.aspx?journalid=122 [...] [article] Free surface model derived from the analytical solution of stokes flow in a wedge [texte imprimé] / R. W. Hewson, Auteur . - 2009 . - 05 p. fluids engineering Langues : Anglais (eng) in Transactions of the ASME . Journal of fluids engineering > Vol. 131 N° 4 (Avril 2009) . - 05 p. Mots-clés : flow  (dynamics);  lubrication;  coating  processes;  coatings;  finite  element  methods;  differential  equations;  finite  element  analysis;  boundary-value  problems;  creeping  flow;  equations;  film  thickness;  finite  element  model;  wedges;  lubrication  theory Résumé : The formation of a thin liquid film onto a moving substrate is a commonly encountered industrial process, and one that is encountered in lubrication, oil extraction processes, and coating flows. The formation of such a film is analyzed via the analytical Stokes flow solution for the flow in a wedge bounded on one side by a free surface and on the other by a moving surface. The full solution is obtained by numerically integrating a set of ordinary differential equations from far downstream, in the region of the final film thickness. The results show excellent agreement with the results obtained by the Bretherton equation, the Ruschak equation, the Coyne and Elrod model, and a two-dimensional free surface finite element simulation of the problem. En ligne : http://fluidsengineering.asmedigitalcollection.asme.org/issue.aspx?journalid=122 [...]