二维范德瓦尔斯气体磁流体绕凸拐角的超声流动

数学物理学报 ›› 2023, Vol. 43 ›› Issue (4): 1170-1178.

二维范德瓦尔斯气体磁流体绕凸拐角的超声流动

王可凤(),由守科^*()

新疆大学数学与系统科学学院乌鲁木齐 830017

收稿日期:2022-06-27 修回日期:2023-02-13 出版日期:2023-08-26 发布日期:2023-07-03
通讯作者: 由守科 E-mail:wangkefeng0215@163.com;youshouke2008@163.com
作者简介:王可凤, E-mail: wangkefeng0215@163.com
基金资助:
国家自然科学基金(11961063);新疆维吾尔自治区自然科学基金(2021D01C003)

Supersonic Flow of Two-dimensional Van Der Waals Gas Magnetic Fluid Around Convex Corner

Wang Kefeng(),You Shouke^*()

College of Mathematics and System Science, Xinjiang University, Urumqi 830017

Received:2022-06-27 Revised:2023-02-13 Online:2023-08-26 Published:2023-07-03
Contact: Shouke You E-mail:wangkefeng0215@163.com;youshouke2008@163.com
Supported by:
NSFC(11961063);Natural Science Foundation of Xinjiang Uygur Autonomous Region(2021D01C003)

摘要/Abstract

摘要：

该文研究了二维等熵范德瓦尔斯气体磁流体绕凸拐角的超声流动问题. 根据超声速来流比容的取值, 对凸拐角处的流动进行分类讨论, 证明了超声速来流通过中心稀疏波、声速激波或它们构成的复合波绕过凸拐角, 并得到了出现真空现象的临界角度.

关键词: 凸拐角, 范德瓦尔斯气体, 复合波, 真空

Abstract:

In this paper, we study the supersonic flow of two-dimensional isentropic van der Waals magnetic fluid around convex corners. According to the value of the specific volume of the incoming flow, the flow at the convex corner is discussed by classification. It is shown that the supersonic incoming flow can turn the convex corner by a centered rarefaction wave, a sonic shock or a composite wave of them, and the critical angle of the corner corresponding to the appearance of the vacuum phenomenon is obtained.

Key words: Convex corner, Van der Waals gas, Composite wave, Vacuum.

中图分类号:

O175.27

王可凤,由守科. 二维范德瓦尔斯气体磁流体绕凸拐角的超声流动[J]. 数学物理学报, 2023, 43(4): 1170-1178.

Wang Kefeng,You Shouke. Supersonic Flow of Two-dimensional Van Der Waals Gas Magnetic Fluid Around Convex Corner[J]. Acta mathematica scientia,Series A, 2023, 43(4): 1170-1178.

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