Numerical Simulation of a Particle in Air Flow Around a Turbine Blade

Ippei Oshima, M. Furuichi
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Abstract

The Steam turbine is widely used for generating electricity, in the thermal, nuclear and geothermal power generation systems. A wet loss is known as one of the degrading factors of the performance. To reduce the amount of liquid phase generated by condensation and atomization from nozzles, the prediction of the distribution of liquid mass flow rate inside the turbine is important. However, the quantitative understanding and the prediction method of the liquid flow inside the turbine remain unclear because physics inside a turbine is consisting of complex multiscale and multiphase events. In the present study, we proposed a theoretical model predicting the motion of droplet particles in gas flow based on Stokes number whose model does not require numerical simulation. We also conducted the numerical validation test using three-dimensional Eulerian-Lagrangian simulation for the problem with turbine blade T106. The numerical simulation shows that the particle motion is characterized by the Stokes number, that is consistent with the assumption of the theoretical model and previous studies. When Stokes number is smaller than one, the particle trajectory just follows the gas flow streamline and avoids the impacts on the surface of T106. With increasing Stokes number, the particles begin to deviate from the gas flow. As a result, many particles collide with the surface of T106 when the Stokes number is approximately one. When the Stokes number is extremely larger than one, particles move straight regardless of the background gas flow. The good agreements between the theoretical predictions and numerical experiment results justify the use of our proposed theoretical model for the prediction of the particle flow around the turbine blade.
涡轮叶片周围空气中颗粒流动的数值模拟
汽轮机广泛用于发电,在火力发电、核能发电和地热发电系统中。湿损失被认为是性能下降的因素之一。为了减少喷嘴冷凝雾化产生的液相量,对涡轮内液体质量流量的分布进行预测是非常重要的。然而,由于涡轮内部物理是由复杂的多尺度多相事件组成的,目前对涡轮内部液体流动的定量认识和预测方法尚不明确。在本研究中,我们提出了一种基于Stokes数的理论模型来预测液滴颗粒在气体流动中的运动,该模型不需要数值模拟。我们还对涡轮叶片T106问题进行了三维欧拉-拉格朗日模拟数值验证试验。数值模拟结果表明,粒子运动具有Stokes数特征,这与理论模型和前人研究的假设相一致。当Stokes数小于1时,颗粒轨迹刚好沿着气流流线运动,避免了对T106表面的冲击。随着斯托克斯数的增加,颗粒开始偏离气流。因此,当Stokes数近似为1时,许多粒子与T106表面发生碰撞。当斯托克斯数大大大于1时,无论背景气流如何,粒子都是直线运动的。理论预测结果与数值实验结果吻合较好,证明本文提出的理论模型可用于涡轮叶片周围颗粒流动的预测。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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