中文摘要：

含沙水中水轮机的水力性能受多种因素影响，本文采用RNGk-ε湍流模型，对竖轴混流式水轮机三维全流道导水机构内部流动进行了数值模拟。适当选取若干种导叶开度，通过数值模拟得到了不同导叶开度、固定导叶与活动导叶周向不同相对位置下，导水机构内部流场的压力分布、速度分布以及能量损失。计算结果表明固定导叶与活动导叶的周向位置对水流的流态的影响，活动导叶头部的内侧更容易受到冲击破坏，合理地匹配它们的位置关系可以较大地减少水力损失。确定固定导叶与活动导叶在不同开度下最优匹配角，导叶开度及相对位置对水轮机水力性能联合影响关系。

英文摘要：

The hydraulic performance of Francis turbines which flowing water containing sand is affected by many factors, The k-ε turbulent model was adopted to numerically simulate the internal flow in whole flow passage of water guide mechanism in the Vertical shaft of Francis turbine. Some kind of guide vane opening are selected appropriately, Through the numerical simulation obtained that the pressure distribution, velocity distribution and energy loss of flow field inside the water guide mechanism and vanes and guide vanes circumferentially different relative positions fixed. The calculation results show that the circumferential position of the fixed guide vane and guide vane has a great influence on the flow pattern, The inner of guide vane head is more susceptible to be impact damaged, Reasonable matching position between them can reduce the hydraulic losses greatly. Finally it is determined that the fixed vanes and guide vanes at different degree of opening of the optimal matching angle, guide vane and the relative position of the hydraulic turbine joint performance affect the relationship.