Abstract This study proposes a new set of equations for the energy balance for predicting the temperature distribution of gas-liquid slug flows using a slug tracking approach. The model proves able to work around non-physical oscillations of the temperature distribution found with a previously published set of equations for the energy balance. The main difference here is that rather than being applied to each structure (namely the liquid slug, the liquid film and the elongated bubble) individually, the temperature is assigned to the whole unit cell. Central Differencing Schemes were avoided since the problem is convection-dominant, thus preference to Upwind Differencing Schemes was given. Comparison of the new model with an experimental dataset for air-water flow in a 52-mm ID pipeline showed deviations of ±25% for the temperature and pressure gradients. An extra head loss term caused by the recirculation of liquid in the elongated bubble wake was introduced into the momentum balance, correcting an existing –20% systematic deviation found in the pressure gradient as computed by the former model. Simulations for an extended, 200-m long pipeline comparing isothermal, cooling and heating flows are also presented. These simulations demonstrate the competition of gas expansion caused by pressure drop and of gas expansion/contraction caused by mixture heating/cooling, and their consequences on the elongated bubble length increase/decrease, on the mixture acceleration/deceleration, on the coalescence rate of elongated bubbles, and on their statistic distributions.

中文翻译：

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使用段塞跟踪方法对非沸腾气液段塞流进行传热建模

摘要 本研究提出了一套新的能量平衡方程，用于使用段塞跟踪方法预测气液段塞流的温度分布。该模型证明能够解决之前发布的一组能量平衡方程组发现的温度分布的非物理振荡。这里的主要区别在于，不是单独应用于每个结构（即液塞、液膜和细长气泡），而是将温度分配给整个晶胞。由于问题主要是对流，因此避免了中央差分方案，因此优先考虑迎风差分方案。将新模型与 52 毫米 ID 管道中空气-水流的实验数据集进行比较，显示温度和压力梯度的偏差为 ±25%。由细长气泡尾流中的液体再循环引起的额外水头损失项被引入动量平衡，纠正了由前一个模型计算的压力梯度中现有的 –20% 系统偏差。还介绍了对 200 米长管道的模拟，比较了等温、冷却和加热流。这些模拟证明了压降引起的气体膨胀和混合物加热/冷却引起的气体膨胀/收缩的竞争，以及它们对伸长气泡长度增加/减少、混合物加速/减速、伸长的聚结速率的影响。气泡，