论文标题
在冲击变化方程式上
On the shock change equations
论文作者
论文摘要
我们对冲击波的动力学与部分衍生物的动力学进行重新访问和得出冲击变化方程，这些衍生物描述了具有任意区域变化的流管中带有状态的一般状态方程的反应流体的运动。我们将它们专门用于完美的气体，在该气体中，我们以封闭形式获得所有冲击方程。这些进一步简化了强烈的冲击。我们讨论了这些方程在反应性压缩流问题以及冲击的固有进化方程的发展中的一般实用性，例如Whitham和Sharma的近似值。
We revisit and derive the shock-change equations relating the dynamics of a shock wave with the partial derivatives describing the motion of a reactive fluid with general equation of state in a stream-tube with arbitrary area variation. We specialize these to a perfect gas, in which we obtain all shock-change equations in closed form. These are further simplified for strong shocks. We discuss the general usefulness of these equations in problems of reactive compressible flow and in the development of intrinsic evolution equations for the shock, such as the approximations made by Whitham and Sharma.
