混流叶轮叶片进出口安放角参数试验设计研究

Design and Experimental Study on Leading and Trailing Blade Angle of Mixed-Flow Impeller

通过对叶片进出口安放角的筛选试验,获得关键的显著因子,并使用最速上升法确定了显著因子中心点。通过采用Box-Behnken方法进行了响应面的试验设计,并分析研究了安放角因子的交互效应,最后研究基于响应曲面法的目标函数并进行性能预测对比。经过叶片进出口角的显著性研究分析,β11、β51和β52为显著因子,其P值分别为:0.019、0.037和0.048。采用最速上升法确定了中心点分别为:β11=43.5°;β51=20°;β52=17°。采用最小二乘法拟合叶轮效率和扬程与叶片进出口安放角度参数的二次函数模型,通过方差分析和回归模型的分析和研究,表明拟合的函数模型误差小,验证了叶轮效率和扬程回归模型的可行性。采用响应曲面法对叶片的进出口角度进行了优化,优化后的参数为:β11=35°;β51=25.5°;β52=18.5°,优化后泵和叶轮的效率得到了较大的提升,分别为0.8%和0.82%。

In this paper,key exponential factors were obtained by screening the inlet and outlet blade angle of impeller,and the center point of the significant factor was studied using the steepest ascent method.The design of response surface method(RSM) was carried out by using the Box-Behnken experimental method.The interactive effects of blade angle factor were analyzed and studied.Finally,the objective function based on response surface method was studied and compared with performance prediction.After significance analysis of the blade inlet and outlet angle,β11、β51 and β52 were significant factors,and their P values were: 0.019,0.037,and 0.048.The center point is determined using steepest ascent method: β11=43.5°;β51= 20°;β52=17°.The least square method was used to fit quadratic function model of impeller efficiency and lift and blade angle parameter.Through variance analysis and regression model,the results showed that the error of fitted function model was small,and the regression model were verified.The RSM was used to optimize inlet and outlet blade angle.The optimized parameters were:β11=35°,β51=25.5°,β52=18.5°.The efficiency of pump and impeller were optimized,and efficiency was improved by 0.8 and 0.82.