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本文给出了一种轴对称层流附面层方程的数值解法。利用Levy-Lees变换,将物理平面上的附面层方程变换到新的坐标平面内,再利用三点隐式有限差分法来解这组方程。在考虑熵吞影响的情况下,本文发展了一种与国内外惯用的流线吞嚥法不同的不需迭代即可给出附面层外缘参数的方法,从而使计算时间缩短了三分之二。本方法给出的结果同其他作者的数值解和实验结果作了比较,结果是令人满意的。本文还给出了驻点热流在等熵和变熵情况下随雷诺数和马赫数变化的计算结果,并同实验结果作了比较。
In this paper, a numerical solution of the axisymmetric laminar laminar equation is given. Using the Levy-Lees transformation, the equations of the overlying layers on the physical plane are transformed into a new coordinate plane, and the three-point implicit finite difference method is used to solve the equations. Considering the influence of entropy swallow, this paper developed a method that can give the outer edge parameters of the cover without iteration, which is different from the traditional flow swallowing method at home and abroad, so that the calculation time is shortened by one third two. The results given by this method are compared with the numerical results and experimental results of other authors and the results are satisfactory. In addition, the calculation results of stagnation point heat flow with Reynolds number and Mach number under isentropic and entropy change conditions are also given. The results are compared with the experimental results.