摘要
根据质量守恒定律、动量守恒定律以及能量守恒定律推导了变截面管道等熵磁气体动力学守恒律方程组.利用特征分析法给出了基本波曲线表达式.引入全局熵条件唯一确定驻波解,并证明了驻波的一些性质.
The equations of conservation laws in isentropic magnetogasdynamics in a variable cross-section duct are deducted by the law of conservation of mass,the law of conservation of momentum,and the law of conservation of energy.We present the expressions of elementary waves relying on the characteristic analysis method.The uniqueness of the stationary solution can be determined by imposing a global entropy condition and some properties of stationary waves are proved.
作者
盛万成
肖涛
张青龙
SHENG Wancheng;XIAO Tao;ZHANG Qinglong(College of Sciences,Shanghai University,Shanghai 200444,China)
出处
《应用数学与计算数学学报》
2018年第4期762-771,共10页
Communication on Applied Mathematics and Computation
基金
supported by the National Natural Science Foundation of China(11371240)
关键词
变截面管道
磁气体动力学
稀疏波
激波
驻波
variable cross-section duct
magnetogasdynamics
rarefaction waves
shock waves
stationary waves
