发表机构
Tel Aviv University; Soreq NRC（特拉维夫大学; 索雷克国家研究中心）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究通过解析与数值方法，分析了倾斜矩形管道中垂直磁场下的气液分层MHD流动，揭示了倾斜、壁面电导率与电磁力对持液率、压力梯度及泵送需求的复杂影响。
AI 中文摘要
本研究探讨了在倾斜矩形管道中，受垂直磁场作用，导电液体与非导电气体形成的完全发展的分层磁流体动力学（MHD）流动。针对同向上行、同向下行及逆流流动，我们获得了速度和感应磁场的解析解与数值解，这些解以控制无量纲参数表示。与单相MHD流动不同，管道倾斜通过改变持液率以及重力、摩擦力和电磁力的相对贡献，强烈影响两相流动。结果揭示了重力、洛伦兹力、壁面及界面剪切应力之间的复杂相互作用。这些相互作用控制着持液率、压力梯度、多重稳态解、液泛极限、局部回流、射流状速度结构及泵送需求。壁面电导率对感应磁场和洛伦兹力分布有重要影响，因此即使在磁雷诺数非常小的情况下也不能忽略。完全绝缘的管道通常表现出最弱的电磁效应，其行为最接近非MHD流动。具有导电底壁的配置表现出显著更强的电磁效应，并对侧壁电导率更为敏感，导致速度场、持液率、压力梯度、气体润滑效应及整体泵送功率需求发生显著变化。
英文摘要
This study investigates fully developed stratified gas/liquid magnetohydrodynamic (MHD) flow of an electrically conducting liquid and a nonconducting gas in inclined rectangular ducts subjected to a vertical magnetic field. Analytical and numerical solutions for the velocity and induced magnetic fields are obtained in terms of the governing dimensionless parameters for concurrent upward, concurrent downward, and countercurrent flows. Unlike single-phase MHD flow, duct inclination strongly affects two-phase flow by altering the liquid holdup and the relative contributions of gravitational, frictional, and electromagnetic forces. The results reveal a complex interplay among gravity, Lorentz forces, and wall and interfacial shear stresses. These interactions govern the liquid holdup, pressure gradient, multiple steady solutions, flooding limits, local backflow, jet-like velocity structures, and pumping requirements. Wall conductivity critically affects the induced magnetic field and Lorentz force distribution and therefore cannot be neglected, even at very small magnetic Reynolds numbers. Fully insulating ducts generally exhibit the weakest electromagnetic effects and behavior closest to non-MHD flow. Configurations with a conducting bottom wall exhibit substantially stronger electromagnetic effects and greater sensitivity to side-wall conductivity, leading to pronounced changes in the velocity field, liquid holdup, pressure gradient, gas-lubrication effect, and overall pumping-power requirements.
