基于量纲分析的钉盘磨绕流阻力矩模型构建

Circumfluent Drag Torque Model for Pin Pulverizer Based on Dimensional Analysis

利用计算流体力学(CFD)方法、正交试验和量纲分析,研究了钉盘磨齿钉所受绕流阻力矩的数学模型。以钉盘磨主要结构参数、操作参数为试验因素,以两圈齿钉所受绕流阻力矩为试验指标,对钉盘磨进行正交试验,并基于量纲分析将试验数据无量纲化,采用各无量纲参数多项式相乘的形式对数据进行拟合,建立了钉盘磨绕流阻力矩数学模型。实例计算结果显示,在两种工况条件下,该模型所计算的第1、2圈齿钉的绕流阻力矩与CFD计算值之间的相对误差分别为9.832%、28.914%和10.321%、5.442%,表明该模型的分析结果满足工程所需精度。

This paper investigates the mathematical model of circumfluent drag torque of pin pulverizers using computational fluid dynamics（CFD） method, orthogonal test method, and dimensional analysis. The drag torque of pins at two circles was studied based on validation of the computational model. The key structural parameters and operating parameters of the pin pulverizer were considered in the orthogonal test. The orthogonal test data were non-dimensionalized, and the dimensionless parameters＇ polynomials were used to fit the data, by which the mathematical model of drag torque of the pin pulverizer was established. The computational results show that errors between the predicted value and CFD calculations of the drag torque of pins at two circles under two different conditions were 9.832%, 28.914% and 10.321%, 5.442%, showing this model could satisfy engineering precision.