Research on Pressure Strain Correlation Terms in the Reynolds Stress Model for Spiral Flow in Reducing Pipes With Rotating Wall
-
摘要: 通过壁面旋转变径圆管内螺旋湍流流动特征的分析,确定其切向速度场内涡流区为微团旋转主导的椭圆形流动,外涡流区为微团变形主导且受壁面旋转影响的双曲形流动.进而利用张量的不变量理论,引入旋转率张量与应变率张量的综合不变量作为模型系数,将适用于微团旋转主导的旋转湍流Reynolds应力压力应变项修正模型拓展到了非旋转效应主导的双曲形流动中.将修正压力应变项应用于壁面旋转变径圆管流场的模拟,并将结果与实测结果进行了对比,验证了修正模型的改进效果.Abstract: The characteristics of flow field in reducing pipes were analyzed. It was determined that the inner vortex in the tangential velocity field is an elliptic flow dominated by the rotation of fluid micelle. The outer vortex is a hyperbolic flow dominated by deformation of fluid micelle and influenced by wall rotation. With the tensor invariant theory, an invariant integrating the rotation rate tensor and the strain rate tensor was introduced as the model coefficient. Then the modified model for pressure and strain terms in the Reynolds stress, which is applicable to flow dominated by rotation, was extended to hyperbolic flow. Ultimately, the model was applied to the flow field simulation of the reducing pipe with rotating wall. Comparison between numerical results and measured ones proves the effectiveness of the modified model.
-
Key words:
- reducing pipe /
- rotating wall /
- spiral flow /
- pressure strain correlation term /
- invariant of tensor
-
[1] 冯志鹏, 臧峰刚, 张毅雄. 三维横向流体诱发直管振动的数值模拟[J]. 应用数学和力学, 2013,34(12): 1311-1320.(FENG Zhipeng, ZANG Fenggang, ZHANG Yixiong. Numerical simulation of uniform tube vibration induced by 3-dimensional cross-flow[J]. Applied Mathematics and Mechanics,2013,〖STHZ〗 34(12): 1311-1320.(in Chinese)) [2] 王福军. 计算流体动力学分析[M]. 北京: 清华大学出版社, 2004.(WANG Fujun. Computational Fluid Dynamics Analysis [M]. Beijing: Tsinghua University Press, 2004.(in Chinese)) [3] XU C Y, ZHOU T, WANG C L, et al. Applications of scale-adaptive simulation technique based on one-equation turbulence model[J]. Applied Mathematics and Mechanics (English Edition),2015,36(1): 121-130. [4] SJOGREN T, JOHANSSON A V. Development and calibration of nonlinear algebraic models for terms in Reynolds stress transport equations[J]. Physics of Fluids,2000,12(6): 1554-1572. [5] MISHRA A A, GIRIMAJI S S. Pressure-strain correlation modeling: towards achieving consistency with rapid distortion theory[J]. Flow Turbulence Combustion,2010,85(3/4): 593-619. [6] 黄思源, 符松. 快速畸变下压力应变快速项模式研究[J]. 中国科学 (G辑), 2008,38(9): 1255-1264.(HUANG Siyuan, FU Song. Study on the rapid strain and pressure term model under rapid distortion[J]. Science in China (Series G),2008,38(9): 1255-1264.(in Chinese)) [7] 黄先北. 动态三阶非线性SGS模型及其在离心泵流动模拟中的应用[D]. 博士学位论文. 北京: 中国农业大学, 2017.(HUANG Xianbei. Dynamic cubic non-linear SGS model and the application in centrifugal pumps[D]. PhD Thesis. Beijing: China Agricultural University, 2017.(in Chinese)) [8] BRADLEY D, PULLING D J. Flow patterns in the hydraulic cyclone and their interpretation in terms of performance[J]. Transactions Institution of Chemical Engineers,1959,37: 34-45. [9] 蒋明虎, 赵立新, 李枫, 等. 旋流分离技术[M]. 哈尔滨: 哈尔滨工业大学出版社, 2000.(JIANG Minghu, ZHAO Lixin, LI Feng, et al. Hydrocyclone Separation Technology [M]. Harbin: Harbin Institute of Technology Press, 2000.(in Chinese)) [10] IMAO S, ITOH M, HARADA T. Turbulent characteristics of the flow in an axially rotating pipe[J]. International Journal of Heat and Fluid Flow,1996,17(5): 444-451. [11] LAUNDER B E, REECE G J, RODI W. Progress in the development of a Reynolds-stress turbulence closure[J]. Journal of Fluid Mechanics,1975,68(3): 537-566. [12] SPEZIALE C G, SARKAR S, GATSKI T B. Modelling the pressure-strain correlation of turbulence: an invariant dynamical systems approach[J]. Journal of Fluid Mechanics,1991,227: 245-272. [13] SHIH T H, LUMLEY J L. Modeling of Pressure Correlation Terms in Reynolds Stress and Scalar Flux Equation[M]. Cornell University, 1985. [14] JOHANSSON A V, HALLBCK M, LINDBORG E. Modelling of rapid pressure-strain in Reynolds stress closures: difficulties associated with rotational mean flows[J]. Applied Scientific Research,1994,53(1/2): 119-137. [15] 张井龙, 王尊策, 徐艳. 旋转湍流中雷诺应力模型压力应变关联项的修正研究[J]. 计算力学学报, 2014,31(6): 787-792.(ZHANG Jinglong, WANG Zunce, XU Yan. Pressure strain correlation term of Reynolds stress model for rotating turbulence[J]. Chinese Journal of Computational Mechanics,2014,31(6): 787-792.(in Chinese)) [16] 徐艳, 张彦月, 张井龙, 等. 基于LES方法的壁面旋转旋流分离器内流特性的研究[J]. 流体机械, 2017,45(8): 1-5.(XU Yan, ZHANG Yanyue, ZHANG Jinglong, et al. Study on the internal flow characteristics of a wall rotating hydrocyclone based on LES method[J]. Fluid Machinery,2017,45(8): 1-5.(in Chinese)) [17] 刘难生. 旋转湍流的直接数值模拟和大涡模拟研究[D]. 博士学位论文. 合肥: 中国科学技术大学, 2003: 88-89.(LIU Nansheng. Direct numerical simulation and large eddy numerical simulation of rotating turbulence[D]. PhD Thesis. Hefei: University of Science and Technology of China, 2003: 88-89.(in Chinese))
点击查看大图
计量
- 文章访问数: 917
- HTML全文浏览量: 169
- PDF下载量: 374
- 被引次数: 0