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首页> 外文期刊>Journal of Non-Crystalline Solids: A Journal Devoted to Oxide, Halide, Chalcogenide and Metallic Glasses, Amorphous Semiconductors, Non-Crystalline Films, Glass-Ceramics and Glassy Composites >Bubble transport in three-dimensional laminar gravity-driven flow - mathematical formulation
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Bubble transport in three-dimensional laminar gravity-driven flow - mathematical formulation

机译：三维层流重力驱动流中的气泡传输-数学公式

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This paper presents a complete set of coupled equations that govern the bubble transport in three-dimensional gravity-driven flow. The model accounts for bubble growth or shrinkage due to pressure and temperature changes as well as for multiple gas diffusion in and out of the bubbles but neglects bubble coalescence, break-up, and nucleation. The model applies to glass melting furnaces but it could be extended to other two-phase flow applications such as metal and polymer processing, passive cooling systems, and two-phase flow around naval surface ships. Governing equations are given for the key variables which are, in the present case, (1) the refining agent concentration, (2) the gas species dissolved in the liquid phase, and (3) the bubble radius, gas molar fraction, and density function. The method of solution based on the backward method of characteristics is briefly discussed. (C) 2004 Elsevier B.V. All rights reserved.
机译：本文提出了一套完整的耦合方程组，用于控制三维重力驱动流中的气泡传输。该模型说明了由于压力和温度变化引起的气泡增长或收缩，以及气泡中进出气泡的多种气体扩散，但忽略了气泡的聚结，破裂和成核。该模型适用于玻璃熔炉，但可以扩展到其他两相流应用，例如金属和聚合物加工，被动冷却系统以及围绕海军水面舰船的两相流。给出了关键变量的控制方程，在当前情况下，这些方程是：（1）精炼剂浓度;（2）液相中溶解的气体种类;（3）气泡半径，气体摩尔分数和密度功能。简要讨论了基于特征向后方法的求解方法。 （C）2004 Elsevier B.V.保留所有权利。

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