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Semi-analytical solution for heat transfer in a water film flowing over a heated plane / Adrien Aubert in Journal of heat transfer, Vol. 132 N° 6 (Juin 2010) 

Public ISBD [article]  in Journal of heat transfer > Vol. 132 N° 6 (Juin 2010) . - pp. [064501-1/4] Titre : Semi-analytical solution for heat transfer in a water film flowing over a heated plane Type de document : texte imprimé Auteurs : Adrien Aubert, Auteur ; Fabien Candelier, Auteur ; Camille Solliec, Auteur Article en page(s) : pp. [064501-1/4] Note générale : Physique Langues : Anglais (eng) Mots-clés : Water  film  Thermal  boundary  layer  Semi-analytical  solution  Whittaker's  functions Index. décimale : 536 Chaleur. Thermodynamique Résumé : Film flow coupled with heat and mass transfer is a widely open domain due to the range of its applications. However, the coupling between the different phenomena makes the analytical resolution difficult, and thus, coerces most authors into performing numerical studies. Although efficient, the numerical approach does not reveal the real link between the different parameters when studying heat transfer. This lack of meaningful formulation motivates the present paper, which proposes a semi-analytical solution for the establishment of the thermal boundary layer of a film flowing down an inclinated heated plane. The formula is obtained by a truncated sum of Whittaker's functions, and is validated by comparison with a full numerical solution of the problem (assuming the same hypotheses). The semi-analytical nature of the equation provides better understanding of the physical phenomena and could help in reducing numerical computational time. DEWEY : 536 ISSN : 0022-1481 En ligne : http://asmedl.aip.org/vsearch/servlet/VerityServlet?KEY=JHTRAO&ONLINE=YES&smode= [...] [article] Semi-analytical solution for heat transfer in a water film flowing over a heated plane [texte imprimé] / Adrien Aubert, Auteur ; Fabien Candelier, Auteur ; Camille Solliec, Auteur . - pp. [064501-1/4]. Physique Langues : Anglais (eng) in Journal of heat transfer > Vol. 132 N° 6 (Juin 2010) . - pp. [064501-1/4] Mots-clés : Water  film  Thermal  boundary  layer  Semi-analytical  solution  Whittaker's  functions Index. décimale : 536 Chaleur. Thermodynamique Résumé : Film flow coupled with heat and mass transfer is a widely open domain due to the range of its applications. However, the coupling between the different phenomena makes the analytical resolution difficult, and thus, coerces most authors into performing numerical studies. Although efficient, the numerical approach does not reveal the real link between the different parameters when studying heat transfer. This lack of meaningful formulation motivates the present paper, which proposes a semi-analytical solution for the establishment of the thermal boundary layer of a film flowing down an inclinated heated plane. The formula is obtained by a truncated sum of Whittaker's functions, and is validated by comparison with a full numerical solution of the problem (assuming the same hypotheses). The semi-analytical nature of the equation provides better understanding of the physical phenomena and could help in reducing numerical computational time. DEWEY : 536 ISSN : 0022-1481 En ligne : http://asmedl.aip.org/vsearch/servlet/VerityServlet?KEY=JHTRAO&ONLINE=YES&smode= [...]