Abstract

Gas–liquid flow patterns were mathematically modeled in the annular space between two coaxial cylinders, the inner cylinder of which rotates about its axis at a constant speed and the outer cylinder is at rest. The mathematical model was based on the fundamental laws of conservation of mass and momentum. The position of the mobile liquid–gas interface was tracked with the volume-of-fluid method. Two different flow patterns were detected: a stratified flow and a flow in which the gas phase is localized along a helix near the surface of the inner cylinder. The dependences of the dimensional torque on the axial and azimuthal Reynolds numbers were presented.

中文翻译：

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具有旋转内筒的环形空间中气液流动模式的数学建模

摘要

气液流动模式在两个同轴圆柱体之间的环形空间中进行数学建模，其中内圆柱体围绕其轴以恒定速度旋转，外圆柱体静止。数学模型基于质量和动量守恒定律的基本定律。使用流体体积法跟踪移动液-气界面的位置。检测到两种不同的流动模式：分层流动和气相沿内圆柱表面附近的螺旋线定位的流动。提出了尺寸扭矩对轴向和方位角雷诺数的依赖性。