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Flow in an Impeller-Stirred Tank Using an Immersed-Boundary Method

机译:采用浸没边界法的叶轮搅拌槽中的流动

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The moderate Reynolds number flow developing in a cylindrical unbaffled stirred tank is studied using direct numerical simulation(DNS)and the results are compared with available experimental data and Reynolds Averaged Navier-Stokes(RANS)solutions.The geometry of the impeller is handled using an immersed-boundary procedure implemented in a solver written for cylindrical coordinates.This allows efficient simulation of the flow at a reasonable computational cost and accurate prediction of the mean and rms velocity fields.For this configuration,RANS performs poorly because of the low Reynolds and strongly unsteady and inhomogeneous nature of the flow: many different flow structures are produced,ranging from small-scale vortices generated at the blade tips to large-scale meridional recirculation.It is shown,in addition,that inaccurate results are produced by the wrong(computational)assumption that an impeller with n blades produces instantaneous fields with an n-fold symmetry.Because simple stirred-tank configurations(like the present one have been recently used to assess the performance of several RANS closures,the main message of this study is that simple geometrical configurations and low Reynolds numbers are not benign parameters for such a task.
机译:使用直接数值模拟(DNS)研究了在圆柱形无挡板搅拌釜中产生的中等雷诺数流,并将结果与​​可用的实验数据和雷诺平均Navier-Stokes(RANS)解进行了比较。叶轮的几何形状使用在为圆柱坐标编写的求解器中实现了浸入边界过程,这使得可以以合理的计算成本对流进行有效的仿真,并且可以准确预测均值和均方根速度场。对于这种配置,RANS的性能不佳,因为雷诺数低且强度大流动的不稳定和不均匀的性质:产生了许多不同的流动结构,从叶片尖端产生的小规模旋涡到大规模的子午循环。假设具有n个叶片的叶轮产生n倍对称性的瞬时场。搅拌罐构型(像本发明的搅拌釜构型最近已用于评估多个RANS封闭件的性能),该研究的主要信息是简单的几何构型和低雷诺数对此类任务而言不是良性参数。

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