数据规律分析法在流量系数曲线公式拟合中的应用

摘要

There are lot factors to effect discharge coefficient (or efficiency coefficient)curve.As for curve configuration in formula,it is difficult to select function form and the undetermined coefficient calculation is complex.Through statistical analysis of data,this paper proved that the relationship between data rules and polynomial function is correct,the relation between data rules and compound function is correct,and variable substitution rules are correct.Using these relationships and replacing rules,more functional form were developed to meet the general formula configuration requirements.%影响流量(效率)系数曲线的因素很多,给曲线配置公式,函数形式选择困难,待定系数计算复杂.通过对相关数据的统计分析,论证了数据规律与多项式函数对应关系的正确性,论证了数据规律与复合函数对应关系的正确性,论证了变量替换规则的正确性.运用这些关系和替换规则,引申出更多的函数形式,满足了一般曲线的公式配置要求.公式系数的求解,推导出降阶法,不但可以求解多项式类型函数的系数,还可以求解复合类型函数的系数；该方法统计计算简单,很容易用Excel表格实现.用数据规律分析的方法给相关曲线配置公式,非常有效.