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Numerical Investigations of Passive Scalar Transport in Turbulent Taylor-Couette Flows: Large Eddy Simulation Versus Direct Numerical Simulations

机译:湍流Taylor-Couette流中被动标量传输的数值研究:大涡模拟与直接数值模拟

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摘要

The highly turbulent flow occurring inside (electro)chemical reactors requires accurate simulation of scalar mixing if computational fluid dynamics (CFD) methods are to be used with confidence in design. This has motivated the present paper, which describes the implementation of a passive scalar transport equation into a hybrid spectral/finite-element code. Direct numerical simulations (DNS) and large eddy simulation (LES) were performed to study the effects of gravitational and centrifugal potentials on the stability of incom-pressible Taylor-Couette flow. The flow is confined between two concentric cylinders with an inner rotating cylinder while the outer one is at rest. The Navier-Stokes equations with the uncoupled convection-diffusion-reaction (CDR) equation are solved using a code named spectral/finite element large eddy simulations (SFELES) which is based on spectral development in one direction combined with a finite element discretization in the remaining directions. The performance of the LES code is validated with published DNS data for channel flow. Velocity and scalar statistics showed good agreement between the current LES predictions and DNS data. Special attention was given to the flow field, in the vicinity of Reynolds number of 68.2 with radii ratio of 0.5. The effect of Sc on the concentration peak is pointed out while the magnitude of heat transfer shows a dependence of the Prandtl number with an exponent of 0.375.
机译:如果要在设计中放心使用计算流体动力学(CFD)方法,则在(化学)化学反应器内部发生的高度湍流需要精确地模拟标量混合。这激发了本文的动机,该论文将无源标量输运方程的实现描述为混合频谱/有限元代码。进行了直接数值模拟(DNS)和大涡模拟(LES),以研究重力和离心势对不可压缩泰勒-库埃特流稳定性的影响。流动被限制在两个同心圆筒之间,其中一个内部旋转圆筒,而外部同心圆筒则处于静止状态。使用名为光谱/有限元大涡模拟(SFELES)的代码求解具有解耦对流扩散反应(CDR)方程的Navier-Stokes方程,该代码基于一个方向的光谱展开并结合了有限元离散化。其余方向。 LES代码的性能已通过发布的DNS数据进行了通道流验证。速度和标量统计数据表明,当前的LES预测与DNS数据之间具有很好的一致性。特别关注流场,雷诺数为68.2,半径比为0.5。指出了Sc对浓度峰值的影响,而传热的大小则显示了Prandtl数的依赖性,其指数为0.375。

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