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On the generalized Brinkman number definition and its importance for Bingham fluids / P. M. Coelho in Journal of heat transfer, Vol. 133 N° 5 (Mai 2011) 

Public ISBD [article]  in Journal of heat transfer > Vol. 133 N° 5 (Mai 2011) . - pp. [054505/1-4] Titre : On the generalized Brinkman number definition and its importance for Bingham fluids Type de document : texte imprimé Auteurs : P. M. Coelho, Auteur ; J. C. Faria, Auteur Année de publication : 2011 Article en page(s) : pp. [054505/1-4] Note générale : Physique Langues : Anglais (eng) Mots-clés : Bingham  fluid  Viscous  dissipation  Convective  heat  transfer  Generalized  Brinkman  number  Duct  flows Index. décimale : 536 Chaleur. Thermodynamique Résumé : In this technical note we discuss the importance of using a generalized Brinkman number definition for laminar pipe flow of a Bingham fluid, when viscous dissipation effects are relevant. We show that adapting the Brinkman number definition commonly used for Newtonian fluids directly to the more general class of non-Newtonian fluids does not calculate correctly the ratio between heat generated by viscous dissipation and heat transfer at the wall and leads to a distortion of the graphical representation of the Nusselt number, Nu, rendering difficult, if not impossible, the comparisons of the Nu behavior between different Brinkman numbers. The use of the proposed generalized Brinkman number removes these problems and simultaneously it has the merit of being independent of any reference apparent viscosities. DEWEY : 536 ISSN : 0022-1481 En ligne : http://asmedl.aip.org/vsearch/servlet/VerityServlet?KEY=JHTRAO&ONLINE=YES&smode= [...] [article] On the generalized Brinkman number definition and its importance for Bingham fluids [texte imprimé] / P. M. Coelho, Auteur ; J. C. Faria, Auteur . - 2011 . - pp. [054505/1-4]. Physique Langues : Anglais (eng) in Journal of heat transfer > Vol. 133 N° 5 (Mai 2011) . - pp. [054505/1-4] Mots-clés : Bingham  fluid  Viscous  dissipation  Convective  heat  transfer  Generalized  Brinkman  number  Duct  flows Index. décimale : 536 Chaleur. Thermodynamique Résumé : In this technical note we discuss the importance of using a generalized Brinkman number definition for laminar pipe flow of a Bingham fluid, when viscous dissipation effects are relevant. We show that adapting the Brinkman number definition commonly used for Newtonian fluids directly to the more general class of non-Newtonian fluids does not calculate correctly the ratio between heat generated by viscous dissipation and heat transfer at the wall and leads to a distortion of the graphical representation of the Nusselt number, Nu, rendering difficult, if not impossible, the comparisons of the Nu behavior between different Brinkman numbers. The use of the proposed generalized Brinkman number removes these problems and simultaneously it has the merit of being independent of any reference apparent viscosities. DEWEY : 536 ISSN : 0022-1481 En ligne : http://asmedl.aip.org/vsearch/servlet/VerityServlet?KEY=JHTRAO&ONLINE=YES&smode= [...]