Flow Properties of Turbulent Fiber Suspensions in a Stock Pump Impeller

doi:10.1016/S1004-9541(13)60615-1

Chinese Journal of Chemical Engineering ›› 2013, Vol. 21 ›› Issue (10): 1089-1097.DOI: 10.1016/S1004-9541(13)60615-1

Flow Properties of Turbulent Fiber Suspensions in a Stock Pump Impeller

杨炜¹, 张启华², 库晓珂³

1 Department of Mechanics, Zhejiang University, Hangzhou 310027, China;
2 National Research Center of Pumps and Pumping System Engineering and Technology, Jiangsu University, Zhenjiang 212013, China;
3 Department of Energy and Process Engineering, Norwegian University of Science and Technology, Norway

收稿日期:2012-01-29 修回日期:2012-12-07 出版日期:2013-10-28 发布日期:2013-10-29
通讯作者: ZHANG Qihua
基金资助:
Supported by the National Natural Science Foundation of China (51309118), the National Key Technology R&D Program of the Ministry of Science and Technology of China (2011BAF14B01), the Postdoctoral Science Foundation of China (2013M531282) and the Doctorate Program of Higher Education of China (20120101110121).

Flow Properties of Turbulent Fiber Suspensions in a Stock Pump Impeller

YANG Wei¹, ZHANG Qihua², KU Xiaoke³

1 Department of Mechanics, Zhejiang University, Hangzhou 310027, China;
2 National Research Center of Pumps and Pumping System Engineering and Technology, Jiangsu University, Zhenjiang 212013, China;
3 Department of Energy and Process Engineering, Norwegian University of Science and Technology, Norway

Received:2012-01-29 Revised:2012-12-07 Online:2013-10-28 Published:2013-10-29
Contact: ZHANG Qihua
Supported by:
Supported by the National Natural Science Foundation of China (51309118), the National Key Technology R&D Program of the Ministry of Science and Technology of China (2011BAF14B01), the Postdoctoral Science Foundation of China (2013M531282) and the Doctorate Program of Higher Education of China (20120101110121).

摘要/Abstract

摘要： A numerical method for predicting fiber orientation is presented to explore the flow properties of turbulent fiber suspension flowing through a stock pump impeller. The Fokker-Planck equation is used to describe the distribution of fiber orientation. The effect of flow-fiber coupling is considered by modifying the constitutive mode. The three-dimensional orientation distribution function is formulated and the corresponding equations are solved in terms of second-order and fourth-order orientation tensors. The evolution of fiber orientation, flow velocity and pressure, additional shear stress and normal stress difference are presented. The results show that the evolutions of fiber orientation are different along different streamlines. The velocity and its gradient are large in the concave wall region, while they are very small in the convex wall region. The additional shear stress and normal stress difference are large in the inlet and concave wall regions, and moderate in the mid-region, while they are almost zero in most downstream regions. The non-equilibrium fiber orientation distribution is dominant at the inlet and the concave wall regions. The flow will consume more energy to overcome the additional shearing losses due to fibers at the inlet and the concave wall regions. The change of flow rates has effect on the distribution of additional shear stress and normal stress difference. The flow structure in the inlet and concave wall regions is essential in the resultant rheological properties of the fiber suspension through the stock pump impeller, which will directly affect the flow efficiency of the fiber suspension through the impeller.

关键词: fiber suspension, flow property, turbulent, stock pump impeller, numerical simulation

Abstract: A numerical method for predicting fiber orientation is presented to explore the flow properties of turbulent fiber suspension flowing through a stock pump impeller. The Fokker-Planck equation is used to describe the distribution of fiber orientation. The effect of flow-fiber coupling is considered by modifying the constitutive mode. The three-dimensional orientation distribution function is formulated and the corresponding equations are solved in terms of second-order and fourth-order orientation tensors. The evolution of fiber orientation, flow velocity and pressure, additional shear stress and normal stress difference are presented. The results show that the evolutions of fiber orientation are different along different streamlines. The velocity and its gradient are large in the concave wall region, while they are very small in the convex wall region. The additional shear stress and normal stress difference are large in the inlet and concave wall regions, and moderate in the mid-region, while they are almost zero in most downstream regions. The non-equilibrium fiber orientation distribution is dominant at the inlet and the concave wall regions. The flow will consume more energy to overcome the additional shearing losses due to fibers at the inlet and the concave wall regions. The change of flow rates has effect on the distribution of additional shear stress and normal stress difference. The flow structure in the inlet and concave wall regions is essential in the resultant rheological properties of the fiber suspension through the stock pump impeller, which will directly affect the flow efficiency of the fiber suspension through the impeller.

Key words: fiber suspension, flow property, turbulent, stock pump impeller, numerical simulation

杨炜, 张启华, 库晓珂. Flow Properties of Turbulent Fiber Suspensions in a Stock Pump Impeller[J]. Chinese Journal of Chemical Engineering, 2013, 21(10): 1089-1097.

YANG Wei, ZHANG Qihua, KU Xiaoke. Flow Properties of Turbulent Fiber Suspensions in a Stock Pump Impeller[J]. Chin.J.Chem.Eng., 2013, 21(10): 1089-1097.

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Flow Properties of Turbulent Fiber Suspensions in a Stock Pump Impeller

Flow Properties of Turbulent Fiber Suspensions in a Stock Pump Impeller

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