Spherical, cylindrical and one-dimensional gas flows
Spherical, cylindrical and one-dimensional gas flows
复制标题
球形、圆柱形和一维气流
DOI：
10.1090/qam/80481
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发表时间：
1956
影响因子：
0.8
通讯作者：
J. Keller
中科院分区：
文献类型：
--
作者：
J. Keller
在拉格朗日变量中，多变气体的球形、圆柱形或平面流动问题已被表述为两个变量h和t的非线性二阶偏微分方程。用分离变量法求出了该方程的一类特解，这些解依赖于与气体中任意熵分布有关的任意函数。通过专门化这一功能的解决方案相应的扩展到真空的等熵或非等熵气体云已获得，以及相应的解决方案，有限的传播和强冲击在可变介质。
The problem of spherical, cylindrical or planar flow of a polutropic gas has been formulated in Lagrangian variables, giving rise to a non-linear second order partial differential equation in two variables, h and t. A class of special solutions of this equation has been found by separation of variables, and these solutions depend upon an arbitrary function which is related to the arbitrary entropy distribution in the gas. By specializing this function solutions corresponding to the expansion into a vacuum of an isentropic or non-isentropic gas cloud have been obtained as well as solutions corresponding to the propagation of finite and of strong shocks in variable media.