Abstract

In the paper flows of shock waves in multiphase media are described. Gas suspensions are considered as a multiphase medium—liquid drops or solid particles suspended in a gas. In this work, a continual approach in mathematical modeling of the dynamics of multiphase media is applied. The continual approach involves solving the complete hydrodynamic system of equations for each of the mixture components. The system of equations for the dynamics of each phase includes equation of continuity of density (average density for the dispersed phase), equations of conservation of momentum and energy. The carrier medium is described as a viscous, compressible heat-conducting gas. The mathematical model takes into account the velocity and thermal interaction of the phases of the mixture. The system of equations was solved by the MacCormack explicit finite-difference method of the second order of accuracy. To obtain a monotonic numerical solution, a nonlinear correction scheme was applied to the grid function. The influence of parameters of a disperse phase on speed and the shape of the reflected shockwave was numerically studied in the paper. Results of numerical calculations of the distribution of a shock wave from clean gas to a gas suspension, with the subsequent reflection from a firm surface, are given. Calculations allowed to establish that the intensity of a shock wave, reflected from a firm surface, in a gas suspension increases with a decrease of the number of dispersed particles. It is established that in polydisperse gas suspensions existence of fine fraction leads to an increase in the intensity of the reflected shock wave.

中文翻译：

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单和多分散气体悬浮液中坚硬表面反射的冲击波的数值模拟

摘要

在论文中，描述了多相介质中冲击波的流动。气体悬浮液被视为多相介质，即悬浮在气体中的液滴或固体颗粒。在这项工作中，采用了一种对多相介质动力学进行数学建模的连续方法。连续方法涉及为每种混合组分求解完整的方程组流体力学系统。每个相的动力学方程组包括密度的连续性方程（分散相的平均密度），动量和能量守恒的方程。载体介质被描述为粘性的，可压缩的导热气体。数学模型考虑了混合物各相的速度和热相互作用。方程组通过二阶精度的MacCormack显式有限差分法求解。为了获得单调数值解，将非线性校正方案应用于网格函数。数值研究了分散相参数对速度和反射冲击波形状的影响。给出了从清洁气体到气体悬浮液的冲击波分布以及随后从坚固表面反射的数值计算结果。通过计算可以确定，气体悬浮液中从坚固表面反射的冲击波强度会随着分散颗粒数量的减少而增加。