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- W2043219692 abstract "This paper is inspired by the observation in the literature that there was a lack of data about the knowledge of semi-analytical solutions of steady thermal state applied to laminar boundary layer flows in the case of forced convection. Thus, we have made a complete analysis and synthesized the results on both the surface temperature and the surface flux problems, from the development of integral and differential methods, in the range 10−3 ≤ Pr ≤ 102. Moreover, it has been shown that the same ratio, δTδ = 20 traduces the transition between boundary layer and slug flows, whatever the thermophysical considered case. Finally, we present a warning about the use of 2 and 3-order polynomial shapes by Pohlhausen method which induce a non-unicity of steady state thermal solutions. Cet article est né du constat, dans la littérature, de données incomplètes, voire erronées, concernant les solutions semi-analytiques des régimes thermiques établis en convection forcée, plus particulièrement dans le cas des écoulements laminaires de type couche limite. II nous est apparu alors nécessaire de reconsidérer entièrement le problème et d'établir une synthèse des résultats relatifs aux problèmes, tant à température qu'à flux imposés, obtenus par voies différentielle et intégrale sur la plage 10−3 ≤ Pr ≤ 102. De plus, nous montrons par la méthode intégrale que, quel que soit le problème thermophysique considéré, c'est pour une même valeur δTδ = 20 qu'apparaît la transition entre écoulement de type couche limite et écoulement pariétal cisaillé. Enfin, nous mettons en garde contre l'emploi des ordres polynomiaux 2 et 3 par la méthode de Pohlhausen, qui induisent une non-unicité des solutions de régime thermique établi." @default.
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- W2043219692 date "1999-05-01" @default.
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- W2043219692 title "Revisited results about the theory of steady laminar forced convection for 2D external boundary layer flows" @default.
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- W2043219692 doi "https://doi.org/10.1016/s1290-0729(99)80011-8" @default.
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