细长旋成体大攻角压心系数的理论分析与数值模拟

Theoretic analysis and numerical simulation of coefficient of pressure center of body of slender revolution at high-angle-of-attack

从旋成体大攻角流动的气动力公式出发,推导了大攻角条件下压心系数随攻角和马赫数变化的关系式。基于可实现的k-ε两方程模型,利用CFD方法对大攻角绕流时7种典型形状旋成体进行数值模拟,给出了压心系数随攻角和马赫数变化的数值结果。数值模拟结果与理论分析结论一致。研究表明存在一个与旋成体几何形状密切相关的"外形判别式",在符合细长旋成体的假设条件下,压心系数随攻角和马赫数的变化规律由该"外形判别式"唯一确定。

The relationship of coefficient of pressure center of body of revolution and angle-of-attack and Mach number was educed, based on the aerodynamic formulas of high-angle-of-attack flow. Adopting a k-ε two-equation turbulence model following the realizable rules, seven kinds of body of revolution with different shapes in high-angle-of-attack flow fields were researched by means of CFD, and the numerical results were derived. The numerical simulation results were consistent with the ones in theoretic analysis. Research results indicate that there is a geometric discriminant, which is correlated with the geometric configuration that has strong influence on the law of variation of the coefficient of pressure center.