以球体的沉降实验检验π关系式预测的可行性  

Examination of Function of π-Equations Prediction via Experiment of Settling Time of a Sphere in a Fluid

作　　者：蒋亦元[1,2] 涂澄海[1,2] 刘道顺[1,2] 蒋恩臣[1,2] 

机构地区：[1]东北农业大学 [2]东北农业大学工程学院

出　　处：《农业工程学报》1996年第3期1-6,共6页Transactions of the Chinese Society of Agricultural Engineering

摘　　要：以含有７个变量的球体在液体中沉降规律为研究对象，严格遵循相似准则函数理论为基础的试验设计原则进行求组分方程的试验并组合π关系和经验公式，结果证明只要回归方程拟合得好，在试验点上预测是高度精确的，偏离选定值越远时则误差缓慢增长。The relationship between the settling time of a sphere in a fluid and other six variables through dimensionless products was experimentally studied. The experimental design and the testing for attaining component equations were carried out strictly following the principles for combination of a π-equation. The experimental results revealed that the prediction at the points on the curve of every component equation are highly precise, provided that the regression equation has a high correlation coefficient and the precision of the prediction declines along with the deviation of the point from the component equations curve.

关 键 词：相似准则 π关系式 多变量 球体的沉降 

分 类 号：O212.1[理学—概率论与数理统计]