直接求解变比热斜冲波接体最大尖劈角与最小马赫数

DIRECT SOLUTIONS OF VARYING SPECIFIC HEAT ATTACHED OBLIQUE SHOCK MAXIMUM WEDGE ANGIE AND MINIMUM APPROACHING MACH NUMBER

关键词:  气动热力学  计算流体动力学  斜激波  数值解

Key words:  Aerothermodynamics  Computational fluid dynamics  Oblique blast  Numerical solution

摘要:

由于按强弱两波角接近的方法收敛精度不高，进一步导出直接求解变比热斜冲波接体最大尖劈角与最小马赫数的公式及解法，并用双精度计算机程序作出例题，得出由最大失劈角可反求出原给定马赫数为最小马赫数的满意结果。同时也给出相应定比热ｋ＝１．４结果的百分误差。

Abstract:

ince the author’s previous method relying on the approach of strongand weak shock angles gives accuracy not high enough, in this paper,original drivationsof formullae and solutions for direct determination of varying specific heat attachedoblique shock’s maximum wedge angle and minmum approaching Mach number aregiven.Illustrative examples using double precision programs produce satisfactory raversible solutions of the two parameters,i.e.with either of them given,another couldbe found exactly.Percentage errors of correspondent constant specific heat solutions with k=1.4 arealso given for reference.