Derivation of the “Prandtl-Meyer” Expansion Solution from the Linear Approximation

IF 1.4 4区工程技术 Q2 ENGINEERING, AEROSPACE

Aeronautical Journal Pub Date : 1956-01-01 DOI:10.1017/S0368393100132420

J. Lockwood Taylor

引用次数: 2

Abstract

Each small stage of the expansion starts with a uniform supersonic stream and finishes with a similar stream accelerated, expanded and turned through a small angle. We are therefore justified in applying to each stage the linear (Ackeret) approximation for small departures from uniform flow, according to which where U = air velocity M = Mach number α = inclination of flow.

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从线性逼近推导“Prandtl-Meyer”展开解

膨胀的每个小阶段都以均匀的超音速流开始，并以类似的流加速、膨胀并经过一个小角度旋转结束。因此，我们有理由对每个阶段应用线性(Ackeret)近似，以较小的偏离均匀流动，根据该近似，U =空气速度M =马赫数α =流动倾斜度。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Aeronautical Journal 工程技术-工程：宇航

CiteScore

3.70

自引率

14.30%

发文量

审稿时长

6-12 weeks

期刊介绍： The Aeronautical Journal contains original papers on all aspects of research, design and development, construction and operation of aircraft and space vehicles. Papers are therefore solicited on all aspects of research, design and development, construction and operation of aircraft and space vehicles. Papers are also welcomed which review, comprehensively, the results of recent research developments in any of the above topics.