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- W2009659792 abstract "This work aims to quantify the effects of non-simplified situations on longitudinal fins efficiency. For this purpose a more realistic model, which has been developed here, is based on variable profile and temperature-dependent thermophysical properties in transient two-dimensional fin with internal non-uniform heat generation. An explicit exponential finite-difference method, conditionally stable, is extended in this study for the discretization of the governing equations. The numerical procedure consists in solving series of nodal temperature distribution according to the type of node, in order to reach the steady-state heat exchange. Then, the numerical simulation is used to present the sensitivity of some parameters on efficiency. Numerical results of interest are illustrated for a direct comparison with the traditional solutions. Extensive numerical experiments were conducted and showed that temperature-dependent heat transfer coefficient and generation lead to a significant reduction of fin-efficiency. The simultaneous effects of parameters for this non-linear problem are not negligible. Le but du travail décrit dans cet article est de déterminer l'effet des conditions non simplifiées — admises sous forme d'hypothèses non classiques — sur les efficacités des ailettes longitudinales. Pour cet objectif, un modèle plus réaliste est obtenu en considérant l'ailette en transitoire, en 2D, et à propriétés thermophysiques variables avec la température et/ou la position. Le profil est aussi variable et l'ailette est assimilée à une source interne de chaleur. Une méthode des différences finies exponentielles, de nature explicite, conditionnellement stable, et étendue au cas considéré, est utilisée pour la discrétisation des équations. La procédure numérique consiste à calculer une série de distributions nodales des températures suivant le type du nœud, pour accéder au régime permanent. La simulation a permis ensuite d'obtenir l'effet des différents paramètres sur l'efficacité. Les résultats sont illustrés sous forme de courbes variées et sont mis en comparaison directe avec les données classiques. Dans les conditions d'expérimentation numérique, la sensibilité de l'efficacité est extrême pour la source et pour le coefficient d'échange thermique dépendants de la température. L'effet global des non-linéarités n'est pas négligeable." @default.
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- W2009659792 date "2001-10-01" @default.
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- W2009659792 title "Étude des transferts de chaleur non linéaires dans les ailettes longitudinales" @default.
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- W2009659792 doi "https://doi.org/10.1016/s1290-0729(01)01271-6" @default.
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