Reducible Problems in Magneto-Fluid Dynamic Steady Flows
Reducible Problems in Magneto-Fluid Dynamic Steady Flows
复制标题
磁流体动态稳态流动中的可简化问题
DOI：
10.1103/revmodphys.32.830
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发表时间：
1960
影响因子：
44.1
通讯作者：
H. Grad
中科院分区：
文献类型：
--
作者：
H. Grad
为了给出可解的数学结构，分析与一般流体力学的异同，发展了一些可约简的流磁边值问题。这种对可约流动的分析用于分离大类的流体-磁性问题，这些问题使用流体动力学技术是相对容易的，这可能需要发展显著的新技术来处理边值问题。给出了一个类比，它允许将无粘流体动力学的大部分文献应用于磁流体动力学的一部分。由平行流动(流体速度和磁场局部平行)给出了本质上只有一个特征锥的系统的另一个约化。这种约束在某种意义上是兼容的，因为它不将解决方案限制在几个孤立的流中，而是允许施加一类任意的边界条件。对二维定常流动的流体-磁场方程进行了简化，只处理了关于任意取向的均匀磁场B/sub0/和均匀流动u/sub0/的线性摄动问题。结果被应用于绕薄翼型的流动。研究了以给定法向速度分量为边界条件描述的任意截面三维平面薄板的流动。(B.O.G.)(更少)
Some reducible fluid-magnetic boundary-value problems are developed in order to map out solvable mathematical structures and analyze the similarities and contrasts with ordinary fluid dynamics. This analysis of reducible flows serves to separate large classes of fluid-magnetic problems which are relatively accessible using fluid-dynamical techniques which may require the development of significantly new techniques in order to handle boundary-value problems. An analog is given which allows the application of a large part of the literature of inviscid fluid dynamics to a part of magneto-fluid dynamics. Another reduction to a system with essentially one characteristic cone is given by the parallel flows (fluid velocity and magnetic field locally parallel). This constraint is compatible in the sense that it does not restrict the solution to a few isolated flows but allows the imposition of a class of arbitrary boundary conditions. The reduction for the fluid-magnetic equations was carried out for two-dimensional steady flow, treating only the linear problem of perturbations about a uniform magnetic field B/sub 0/, arbitrarily oriented and a uniform flow, u/sub 0/. The results are applied to the flow around a thin airfoil. The flow about a three- dimensional plane lamina with an arbitrary cross section, described in termsmore » of the given normal component of velocity as a boundary condition, was investigated. (B.O.G.)« less