At last , three - dimensional mathematical model of gas - particle two phase turbulence was established , and it was adopted to study the gas - particle two phase rectangular jet as well . the distribution of the time - averaged velocity and turbulence intensity was studied , and some of the simulation results were compared with the experimental results ; the coherent structure of flow field was described in the three direction , the evolution and motion of the eddies was discussed too ; the dispersion of fine particles in the three dimensional space was also investigated 全面地分析了矩形射流气相时均流场的速度、湍流强度的空间分布规律，并就部分数值模拟结果与实验结果进行了对比研究;描述分析了气相流场湍流拟序结构，对流向、横向和展向三个方向旋涡的空间结构特点进行分析研究，并分析了流向涡随时间变化的发展、运动规律。
The goal of this paper is to study fully developed turbulent pipe flow . with the aid of the tripping annulus at the inlet , based on the experimental investigation and numerical simulation , detailed researches on a few basic rules in pipe flow have been performed , such as mean velocity profile , relative intensity of turbulence , the log - law , von karman ' s constant and reattachment length , thus filling some gaps in the research work of predecessors and obtaining a far - reaching understanding 本文的目的就是利用入口挡环进一步探索充分发展的圆管湍流，通过实验和数值模拟对圆管湍流的若干基本规律，如平均速度分布、相对湍流强度、对数定律、冯?卡门常数和再附着长度等进行详细的研究，以填补前人研究中的一些空白，并获得更深入的了解。
The improved lagrangian stochastic model has attributed to the successful prediction of the turbulence inhomogeniety , turbulence anisotropy , and particle crossing - trajectories effect . the collisions between the particles are also considered in this thesis . numerical results for the particles trace and collection efficiencies in the cyclone separator were compared with available experimental data and with theoretic models 为了验证以上固体颗粒运动模型及修正的湍流模型，文中给出了颗粒在水平管道和u形撞击式分离器中的运动，比较了不同颗粒轨迹模型的特点及运动行为对流体湍流强度的影响。
Besides , in this paper , the velocity distributes and recirculation areas of two phases are shown , and the differences between simulations and experiments are diminutive . turbulence kinetic energy ( ? , turbulence dissipation rate ( e ) , reynolds stress and turbulence intensity are also simulated to reflect turbulence flow 另外，本文计算了旋流燃烧器内气固两相的速度和回流区的分布，并和已有的实验数据进行了比较，同时还计算了湍动能、湍能耗散、雷诺应力和湍流强度等反映湍流的物理量。
