渐近展开匹配法在跨音速钝头薄翼型绕流分析中的应用

一、引言 众所周知,钝头翼型的头部区域对均匀来流的扰动不再是小量,该处流动不符合小扰动假设。因此,由跨音速小扰动方程得出的解在头部区域失效。本文将流场分为外部解区,内外解区及头部附近的内内解区（见图1）。

APPLICATION OF A METHOD OF MATCHED ASYMPTOTIC EXPANSIONS TO THE ANALYSIS OF TRANSONIC FLOWS OVER THIN AIRFOILS WITH BLUNT NOSES

A method is developed for obtaining uniformly valid solutions about thin airfoils with blunt noses in transonic flows. The method is based on the principles of singular perturbation theory and applied to nonlifting problems. The method corrects transonic small perturbation theory which is invalid in the nose region. The first order potential equation, applicable to Inne-inner（nose）region, and the anylitic solution of which are given for the first time. A composite solution, which is uniformly valid, is constructed. Application of the method is presented for the NACA0012 airfoil. Comparison of the results with those of the full potential equation shows in good agreement.