等熵体凸性光滑损失区域中的流体动力波。一般现象学理论
Hydrodynamic Waves in Regions with Smooth Loss of Convexity of Isentropes. General Phenomenological Theory
摘要:
等熵体凸性光滑损失区域的流体力学波的一般唯象理论是基于大多数介质在p-V平面上的这些区域非常小这一事实而发展起来的。因此,这种波通常很弱,可以用类似于压缩的弱激波的方式来描述。推导并分析了相应的广义Burgers方程。得到了定常稀疏激波方程的精确解,并进行了讨论。
英文摘要:
General phenomenological theory of hydrodynamic waves in regions with smooth loss of convexity of isentropes is developed based on the fact that for most media these regions in p-V plane are anomalously small. Accordingly the waves are usually weak and can be described in the manner analogous to that for weak shock waves of compression. The corresponding generalized Burgers equation is derived and analyzed. The exact solution of the equation for steady shock waves of rarefaction is obtained and discusses.
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