Computational approach to the turbulent boundary layer of a rotating porous cylinder with strong suction based on an algebraic turbulence model
Computational approach to the turbulent boundary layer of a rotating porous cylinder with strong suction based on an algebraic turbulence model
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DOI：
10.1080/19942060.2020.1835737
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发表时间：
2020-01
影响因子：
6.1
通讯作者：
I. Mochalin;Jian-Chen Cai;O. Berezhnyi;V. Brazhenko
中科院分区：
文献类型：
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作者：
I. Mochalin;Jian-Chen Cai;O. Berezhnyi;V. Brazhenko
许多重要的技术系统根据在有限空间中旋转的圆柱表面附近的动量传递、热传递和质量传递的原理来操作。数值研究的泰勒-库埃特流动与施加向内的径向通流在旋转内圆筒证明了流动稳定，以防止大规模的涡高达高转速的可能性。流体仅在具有强径向通流的圆柱表面附近的薄层（边界层）中被内部旋转圆柱参与旋转。边界层中的湍流可能发生在离心失稳之前，并且存在控制层厚度以及旋转圆柱表面附近的剪切强度和湍流强度的方法。本文基于代数湍流模型，发展了一种用于旋转圆柱表面湍流边界层计算的紧凑而稳健的方法。广义Cebeci-Smith模型补充了基于Richardson数的修正，以解决离心力作用。它还推广了用于解释壁面吸力的修正。对模型的解析修正和经验系数进行了调整，以反映特定流动条件的耦合影响。该方法，在初步研究中得到全面验证，适应所需的几何配置和检查。将修正的代数湍流模型引入到一种特别为轴对称边界层情况而发展的迭代计算方法中。不同转速和抽吸速度组合的代数湍流模型的模拟结果与雷诺应力湍流模型的模拟结果吻合较好。本文提出的方法提供了有效的实际工程计算，并可应用于接近离心不稳定性的边界层。
Many important technical systems operate according to the principles of momentum transfer, heat transfer and mass transfer near the surface of a cylinder rotating in a confined space. Numerical study of the Taylor–Couette flow with an imposed inward radial throughflow in the rotating inner cylinder demonstrates the possibility of flow stabilization to prevent large-scale vortices up to high rotation rates. The fluid is involved in rotation by the inner rotating cylinder only in a thin layer (boundary layer) near the cylinder surface with strong radial throughflow. Turbulence in the boundary layer may occur before the centrifugal instability, and there is a way to control the thickness of the layer as well as shear intensity and turbulence intensity near the surface of the rotating cylinder. The present work develops a compact and robust approach for the turbulent boundary layer calculation on the surface of a rotating cylinder based on an algebraic turbulence model. The generalized Cebeci–Smith model was supplemented with Richardson number-based corrections to address the centrifugal force action. It also generalized the correction used for accounting for wall suction. Analytical corrections and empirical coefficients of the model were tuned to reflect the coupled influence of the specific flow conditions. The approach, comprehensively verified in the preliminary research, was adapted to the desired geometric configuration and checked. The modified algebraic turbulent model was incorporated into an iterative calculation method developed especially for the case of axisymmetric boundary layers. The results of the algebraic turbulence model with different combinations of rotational speed and suction velocity agree well with the simulation results of the Reynolds stress turbulent model. The method proposed provides efficient practical engineering calculations and can be applied up to approaching the centrifugal instability in the boundary layer.