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On Analogy of 2D and 3D Combustible Mixture Flows

机译：2D和3D可燃混合物流的类比

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摘要

The results of numerical simulations are presented for planar air flows in a bounded volume of square cross section diminishing due to a uniform motion of the walls, for a flow of a propane-air mixture under sinusoidal variation of the size of the square domain, for three-dimensional (3D) supersonic air and propane-air flows in channels of variable square cross section. The flows inside and outside the rotating elliptical cylinder, inside helical 3D channel of elliptic cross section were investigated. Specific features of shock-wave processes that are associated with the piston effect and focusing are established. The hypersonic analogy between planar and spatial flows is confirmed, which allows one to use 2D solutions in estimating 3D flows. The equations of a multicomponent ideal perfect gas and one-stage kinetics of chemical reactions are used to describe the flows. The method of numerical simulations is based on S. K. Godunov's scheme and implemented within an original software package.
机译：对于壁面的均匀运动，在正方形横截面的有限体积内的平面空气流，在正方形区域大小的正弦变化下的丙烷-空气混合物流，三维（3D）超声速空气和丙烷空气在可变方形截面的通道中流动。研究了椭圆形旋转圆柱体内部和外部的流动，椭圆形横截面的3D螺旋内部流动。建立了与活塞效应和聚焦相关的冲击波过程的特定特征。平面流和空间流之间的超音速类比得到证实，这使人们可以使用2D解决方案来估算3D流。用多组分理想完美气体方程和化学反应的一级动力学方程式描述流动。数值模拟的方法基于S.K. Godunov的方案，并在原始软件包中实现。

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