Numerical simulation of steady flow past a liquid sphere immersed in simple shear flow at low and moderate Re

doi:10.1016/j.cjche.2014.10.005

Chinese Journal of Chemical Engineering ›› 2015, Vol. 23 ›› Issue (1): 15-21.DOI: 10.1016/j.cjche.2014.10.005

Numerical simulation of steady flow past a liquid sphere immersed in simple shear flow at low and moderate Re

Run Li¹, Jingsheng Zhang^1,2, Yumei Yong¹, Yang Wang¹, Chao Yang¹

1 Key Laboratory of Green Process and Engineering, Institute of Process Engineering, Chinese Academy of Sciences, Beijing 100190, China;
2 Beijing Research Institute of Chemical Industry, SINOPEC, Beijing 100013, China

收稿日期:2013-03-28 修回日期:2014-04-28 出版日期:2015-01-28 发布日期:2015-01-24
通讯作者: Yang Wang, Chao Yang
基金资助:
Supported by the National Basic Research Program of China (2013CB632601), the National Science Fund for Distinguished Young Scholars (21025627), the National Natural Science Foundation of China (21276256, 21106150) and the National High Technology Research and Development Program of China (2012AA03A606).

Numerical simulation of steady flow past a liquid sphere immersed in simple shear flow at low and moderate Re

Run Li¹, Jingsheng Zhang^1,2, Yumei Yong¹, Yang Wang¹, Chao Yang¹

1 Key Laboratory of Green Process and Engineering, Institute of Process Engineering, Chinese Academy of Sciences, Beijing 100190, China;
2 Beijing Research Institute of Chemical Industry, SINOPEC, Beijing 100013, China

Received:2013-03-28 Revised:2014-04-28 Online:2015-01-28 Published:2015-01-24
Contact: Yang Wang, Chao Yang
Supported by:
Supported by the National Basic Research Program of China (2013CB632601), the National Science Fund for Distinguished Young Scholars (21025627), the National Natural Science Foundation of China (21276256, 21106150) and the National High Technology Research and Development Program of China (2012AA03A606).

摘要/Abstract

摘要： This work presents a numerical investigation on steady internal, external and surface flows of a liquid sphere immersed in a simple shear flow at low and intermediate Reynolds numbers. The control volume formulation is adopted to solve the governing equations of two-phase flow in a 3-D spherical coordinate system. Numerical results show that the streamlines for Re = 0 are closed Jeffery orbits on the surface of the liquid sphere, and also closed curves outside and inside the liquid sphere. However, the streamlines have intricate and non-closed structures for Re≠0. The flow structure is dependent on the values of Reynolds number and interior-to-exterior viscosity ratio.

关键词: Shear flow, Liquid sphere, Numerical simulation, Streamline, Jeffery orbit

Abstract: This work presents a numerical investigation on steady internal, external and surface flows of a liquid sphere immersed in a simple shear flow at low and intermediate Reynolds numbers. The control volume formulation is adopted to solve the governing equations of two-phase flow in a 3-D spherical coordinate system. Numerical results show that the streamlines for Re = 0 are closed Jeffery orbits on the surface of the liquid sphere, and also closed curves outside and inside the liquid sphere. However, the streamlines have intricate and non-closed structures for Re≠0. The flow structure is dependent on the values of Reynolds number and interior-to-exterior viscosity ratio.

Key words: Shear flow, Liquid sphere, Numerical simulation, Streamline, Jeffery orbit

Run Li, Jingsheng Zhang, Yumei Yong, Yang Wang, Chao Yang. Numerical simulation of steady flow past a liquid sphere immersed in simple shear flow at low and moderate Re[J]. Chinese Journal of Chemical Engineering, 2015, 23(1): 15-21.

Run Li, Jingsheng Zhang, Yumei Yong, Yang Wang, Chao Yang. Numerical simulation of steady flow past a liquid sphere immersed in simple shear flow at low and moderate Re[J]. Chin.J.Chem.Eng., 2015, 23(1): 15-21.

参考文献

[1] J.H. Peery, Fluid Mechanics of Rigid and Deformable Particles in Shear Flow at Low Reynolds Numbers(Ph.D. Thesis) Princeton University, USA, 1966.

[2] C.R. Robertson, A. Acrivos, Low Reynolds number shear past a rotating circular cylinder. Part 1. Momentum transfer, J. Fluid Mech. 40 (4) (1970) 685-704.

[3] G.G. Poe, A. Acrivos, Closed streamline flows past rotating single spheres and cylinders: inertia effects, J. Fluid Mech. 72 (1975) 605-623.

[4] G. Subramanian, D.L. Koch, Inertial effects on the transfer of heat or mass from neutrally buoyant spheres in a steady linear velocity field, Phys. Fluids 18 (2006) 073302.

[5] D.R. Mikulencak, J.F. Morris, Stationary shear flow around fixed and free bodies at finite Reynolds number, J. Fluid Mech. 520 (2004) 215-242.

[6] C. Yang, J.S. Zhang, D.L. Koch, X.L. Yin, Mass/heat transfer from a neutrally buoyant sphere in simple shear flow at finite Reynolds and Peclet numbers, AIChE J. 57 (6) (2011) 1419-1433.

[7] G. Subramanian, D.L. Koch, J.S. Zhang, C. Yang, The influence of the inertially dominated outer region on the rheology of a dilute of low-Reynolds-number drops or rigid particles, J. Fluid Mech. 674 (2011) 307-358.

[8] Z.S. Mao, Y. Chao, V.C. Kelessidis, Modeling and numerical simulation of yield viscoplastic fluid flow in concentric and eccentric annuli, Chin. J. Chem. Eng. 20 (1) (2012) 191-202.

[9] W.Y. Fan, X.H. Yin, Numerical study on interaction between two bubbles rising side by side in CMC solution, Chin. J. Chem. Eng. 21 (7) (2013) 705-713.

[10] Y.H. Zhang, C. Yang, Z.S. Mao, Large Eddy simulation of liquid flow in a stirred tank with improved inner-outer iterative algorithm, Chin. J. Chem. Eng. 14 (3) (2006) 321-329.

[11] L.G. Leal, Vorticity transport and wake structure for bluff bodies at finite Reynolds number, Phys. Fluids A1 (1989) 124-131.

[12] G. Subramanian, D.L. Koch, Inertial effects on fibre motion in simple shear flow, J. Fluid Mech. 535 (2005) 383-414.

[13] G.B. Jeffery, The motion of ellipsoidal particles immersed in a viscous fluid, Proc. R. Soc. Lond. A 102 (1922) 161-179.

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Numerical simulation of steady flow past a liquid sphere immersed in simple shear flow at low and moderate Re

Numerical simulation of steady flow past a liquid sphere immersed in simple shear flow at low and moderate Re

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