Chin. Phys. Lett.  2012, Vol. 29 Issue (6): 064702    DOI: 10.1088/0256-307X/29/6/064702
FUNDAMENTAL AREAS OF PHENOMENOLOGY(INCLUDING APPLICATIONS) |
A New Method of Simulating Fiber Suspensions and Applications to Channel Flows
YANG Wei1**, ZHOU Kun2
1Department of Mechanics, Zhejiang University, Hangzhou 310027
2Clean Combustion Research Center, King Abudullah University of Science and Technology, Thuwal, Saudi Arabia
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YANG Wei, ZHOU Kun 2012 Chin. Phys. Lett. 29 064702
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Abstract A successive iteration method is proposed to numerically simulate fiber suspensions. The computational field is discretized with the collocated finite volume method, and an ergodic hypothesis is adopted to greatly accelerate the solution to the Fokker–Planck equation. The method is employed in channel flows with different fiber volume fractions and aspect ratios, and its effectiveness is proved. The numerical results show that the existence of fibers significantly changes the pressure distribution, and the fiber aspect ratio has a greater effect on the velocity profile than on the volume faction. At the center of the channel, the velocity increases along the streamwise direction, while the velocity near the wall decreases slightly. The uncoupling and coupling solutions of the additional stress of the fiber suspensions are quite different.
Received: 12 January 2012      Published: 31 May 2012
PACS:  47.57.E- (Suspensions)  
  47.27.E- (Turbulence simulation and modeling)  
  47.27.nd (Channel flow)  
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https://cpl.iphy.ac.cn/10.1088/0256-307X/29/6/064702       OR      https://cpl.iphy.ac.cn/Y2012/V29/I6/064702
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YANG Wei
ZHOU Kun
[1] Gillissen J J J, Boersma B J, Mortenesn M H and Andersson H I 2008 J. Fluid Mech. 602 209
[2] Lin J Z, Shi X and You Z J 2003 J. Aerosol Sci. 34 909
[3] Lin J Z, Wang Y L and Olsen J A 2005 Chin. Phys. Lett. 22 628
[4] Lin J Z, Shi X, Yu Z S 2003 Int. J. Multiphase Flow 29 1355
[5] Lin J Z, Zhang W F and Yu Z S 2004 J. Aerosol Sci. 35 63
[6] Lin J Z, Li J and Zhang W F 2004 Int. J. Nonlinear Sci. Numer. Simul. 5 9
[7] Moosaie A and Manhart M 2011 J. Non-Newtonian Fluid Mech. 166 1190
[8] Chiba K, Yasuda K and Nakamura K 2001 J. Non-Newtonian Fluid Mech. 99 145
[9] Yasuda K, Mori N and Nakamura K 2002 Int. J. Eng. Sci. 40 1037
[10] Dong S, Feng X, Salcudean M and Gartshore I 2003 J. Non-Newtonian Fluid Mech. 29 1
[11] Lin JZ, Zhang L X and Zhang W F 2006 J. Colloid Interface Sci. 296 721
[12] Batchelor G K 1970 J. Fluid Mech. 41 545
[13] Batchelor G K 1970 J. Fluid Mech. 44 419
[14] Batchelor G K 1971 J. Fluid Mech. 46 813
[15] Shaqfeh E S G and Fredrickson G H 1990 Phys. Fluids A 2 7
[16] Advani SG and Tucker C L 1987 J. Rheol. 31 751
[17] Lin J Z and Shen S H 2010 Sci. Chin. Phys. Mech. Astron. 53 1659
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