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Analysis of unsteady wave processes in a rotating channel

机译:旋转通道中的非稳态波过程分析

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摘要

The impact of passage rotation on the gas dynamic wave processes is analyzed through a numerical simulation of ideal shock-tube flow in a closed rotating-channel. Initial conditions are prescribed by assuming homentropic solid-body rotation. Relevant parameters of the problem such as wheel Mach number, hub-to-tip radius ratio, length-to-tip radius ratio, diaphragm temperature ratio, and diaphragm pressure ratio are varied. The results suggest possible criteria for assessing the consequences of passage rotation on the wave processes, and they may therefore be applicable to pressure-exchange wave rotors. It is shown that for a fixed geometry and initial conditions, the contact interface acquires a distorted three-dimensional time-dependent orientation at non-zero wheel Mach numbers. At a fixed wheel Mach number, the level of distortion depends primarily on the density ratio across the interface as well as the hub-to-tip radius ratio. Rarefaction fronts, shocks, and contact interfaces are observed to propagate faster with increasing wheel Mach number.
机译:通过对封闭旋转通道中理想激波管流动的数值模拟,分析了通道旋转对气体动态波过程的影响。初始条件是通过假设固体向垂直方向旋转来规定的。问题的相关参数(例如,车轮马赫数,轮毂对尖端的半径比,长度对尖端的半径比,膜片温度比和膜片压力比)是变化的。结果提出了可能的标准,用于评估通道旋转对波动过程的影响,因此它们可能适用于压力交换波动转子。结果表明,对于固定的几何形状和初始条件,接触界面在非零车轮马赫数下获得了扭曲的三维时间相关取向。在固定的车轮马赫数下,变形程度主要取决于界面上的密度比以及轮毂到尖端的半径比。随着车轮马赫数的增加,观察到反射前锋,冲击和接触界面的传播速度更快。

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