二维范德瓦尔斯气体磁流体绕凸拐角的超声流动  

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

作　　者：王可凤 由守科[1] Wang Kefeng;You Shouke(College of Mathematics and System Science,Xinjiang University,Urumqi 830017)

机构地区：[1]新疆大学数学与系统科学学院,乌鲁木齐830017

出　　处：《数学物理学报（A辑）》2023年第4期1170-1178,共9页Acta Mathematica Scientia

基　　金：国家自然科学基金(11961063);新疆维吾尔自治区自然科学基金(2021D01C003)。

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.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.

关 键 词：凸拐角 范德瓦尔斯气体 复合波 真空 

分 类 号：O175.27[理学—数学]