Can linear potential theory predict supersonic jets?

Dillmann A.

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Can linear potential theory predict supersonic jets?

机译：线性势能理论可以预测超音速射流吗？

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Fifty years ago D.C. Pack presented his analytical series solution for a slightly over- or underexpanded supersonic jet emerging from a circular nozzle. However, non-uniform convergence, caused by singularities, makes direct numerical evaluation impossible. Therefore, Pack was unable to verify his solution, and during the following decades there was considerable doubt about its physical relevance. The present paper aims at answering the above question by a direct comparison of experimental Mach-Zehnder interferograms with corresponding theoretical images computed from Pack's analytical solution. [References: 4]

机译：五十年前，D.C。Pack提出了他的分析系列解决方案，该解决方案用于从圆形喷嘴中喷出的超音速喷射器，其尺寸稍大或不足。但是，由于奇异性导致的非均匀收敛使得不可能直接进行数值评估。因此，Pack无法验证他的解决方案，在随后的几十年中，人们对其解决方案的实用性产生了极大的怀疑。本文旨在通过将实验的Mach-Zehnder干涉图与从Pack的解析解决方案计算出的相应理论图像进行直接比较来回答上述问题。 [参考：4]

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《Zeitschrift fur Angewandte Mathematik und Mechanik》 |2001年第3期|共9页
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Dillmann A.;
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1. Can linear potential theory predict supersonic jets? [J] . Dillmann A. Zeitschrift fur Angewandte Mathematik und Mechanik . 2001,第Suppla3期

机译：线性势能理论可以预测超音速射流吗？
2. Supersonic jet noise reductions predicted with increased jet spreading rate [J] . Milo D. Dahl, Philip J. Morris Journal of Fluids Engineering: Transactions of the ASME . 1998,第3期

机译：超音速喷气机降噪预计随着喷气机扩频率的提高
3. Supersonic jet noise reductions predicted with increased jet spreading rate [J] . Hurdle PM., Bhat TRS. Journal of Fluids Engineering: Transactions of the ASME . 1998,第3期

机译：超音速喷气机降噪预计随着喷气机扩频率的提高
4. SUPERSONIC JET NOISE REDUCTIONS PREDICTED WITH INCREASED JET SPREADING RATE [C] . Milo D. Dahl, Philip J. Morris ASME/JSME Fluids Engineering and Laser Anemometry Conference and Exgibition . 1995

机译：通过增加的喷射率预测超音速喷射噪声降低
5. New acceleration potential method for supersonic unsteady aerodynamics of lifting surfaces, further extension of the nonplanar supersonic doublet point method, and nonlinear, nongradient optimized rational function approximations for supersonic, transient response unsteady aerodynamics. [D] . Tewari, Ashish. 1992

机译：用于提升表面的超音速非稳态空气动力学的新的加速势方法，非平面超音速双重点方法的进一步扩展以及用于超音速，瞬态响应非稳态空气动力学的非线性，非梯度优化有理函数逼近。
6. Determining polarizable force fields with electrostatic potentials from quantum mechanical linear response theory [O] . Hao Wang, Weitao Yang -1

机译：从量子力学线性响应理论确定带静电势的极化力场
7. Linear stability analysis of supersonic axisymmetric jets [O] . Zhenhua Wan, Haihua Yang, Lin Zhou, 2014

机译：超音速轴对称射流的线性稳定性分析
8. PAN AIR: A computer program for predicting subsonic or supersonic linear potential flows about arbitrary configurations using a higher order panel method. Volume 1: Theory document (version 3.0) [R] . Epton, Michael A., Magnus, Alfred E. 1990

机译：paN aIR：一种计算机程序，用于使用更高阶的面板方法预测任意配置的亚音速或超音速线性势流。第1卷：理论文件（3.0版）

Can linear potential theory predict supersonic jets?

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