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- W2035043107 abstract "A brief review is presented of various models of rarefied gas flow in long tubes. The complex treatments based on the Boltzmann equation provide only numerical solutions for the transition region unless some arbitrary assumptions are made, while those based on the traditional approach of simple kinetic theory have usually involved empiricism to a greater or lesser extent. An analytic expression is derived here based on a physically realistic model, making use of simple kinetic theory and containing no arbitrary assumptions. The model is completely predictive and adequately describes the flow in long tubes over the entire pressure range, from free-molecule to continuum laminar flow, and also predicts the “Knudsen minimum” in the transition region. The concept of a “geometric mean free path” is introduced and appears to be useful in analyzing rarefied gas dynamics in a confined space. A relation is also obtained for the viscosity coefficient in the transition region. On fait une brève revue de divers modèles d'écoulement de gaz raréfié dans les tubes longs. Les traitements complexes basés sur l'équation de Boltzmann, ne fournissent que des solutions numériques dans la zone de transition, à moins que des hypothèses arbitraires ne soient faites; par ailleurs, les traitements basés sur l'approche classique par la théorie cinétique élémentaire impliquent habituellement un certain empirisme. Dans le présent travail on a établi, une expression analytique basée sur un modèle physiquement réaliste, en faisant appel à la théorie cinétique élémentaire, sans faire d'hypothèses arbitraires. Le modèle prévoit complètement et décrit adéquatement l'écoulement dans les tubes longs sur toute la gamme de pression, à partir de l'écoulement de la molécule libre, jusqu'à l'écoulement laminaire continu; il prévoit aussi le “minimum de Knudsen” dans la zone de transition. On a introduit le concept d'une “moyenne géométrique des libres parcours” qui apparai't utile pour analyser la dynamique des gaz raréfiés dans un espace confiné. On a aussi obtenu une relation impliquant le coefficient de viscosité dans la zone de transition." @default.
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- W2035043107 date "1981-06-01" @default.
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- W2035043107 title "The flow of rarefied gases through long tubes of circular cross-section" @default.
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- W2035043107 doi "https://doi.org/10.1002/cjce.5450590302" @default.
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