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Chin. Phys. B, 2012, Vol. 21(12): 126601    DOI: 10.1088/1674-1056/21/12/126601
CONDENSED MATTER: STRUCTURAL, MECHANICAL, AND THERMAL PROPERTIES Prev   Next  

Modeling effective viscosity reduction behaviour of solid suspensions

Wei En-Boa, Ji Yan-Jua b, Zhang Junc
a Institute of Oceanology, Chinese Academy of Sciences, Qingdao 266071, China;
b Graduate University of Chinese Academy of Sciences, Beijing 100049, China;
c The Third Institute of Oceanography, State Oceanic Administration, Xiamen 361005, China
Abstract  Under a simple shearing flow, the effective viscosity of solid suspensions can be reduced by controlling the inclusion particle size or the number of inclusion particles in a unit volume. Based on the Stokes equation, the transformation field method is used to model the reduction behaviour of effective viscosity of solid suspensions theoretically by enlarging the particle size at a given high concentration of particles. With a lot of samples of random cubic particles in a unit cell, our statistical results show that at the same higher concentration, the effective viscosity of solid suspensions can be reduced by increasing the particle size or reducing the number of inclusion particles in a unit volume. This work discloses the viscosity reduction mechanism of increasing particle size, which is observed experimentally.
Keywords:  effective viscosity      solid suspensions      transformation field method  
Received:  20 March 2012      Revised:  08 May 2012      Published:  01 November 2012
PACS:  66.20.-d (Viscosity of liquids; diffusive momentum transport)  
  66.20.Cy (Theory and modeling of viscosity and rheological properties, including computer simulation)  
  64.70.D- (Solid-liquid transitions)  
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 40876094 and 10374026).
Corresponding Authors:  Wei En-Bo     E-mail:  ebwei@qdio.ac.cn

Cite this article: 

Wei En-Bo, Ji Yan-Ju, Zhang Jun Modeling effective viscosity reduction behaviour of solid suspensions 2012 Chin. Phys. B 21 126601

[1] Einstein A 1906 Annalen der Physik 19 289
[2] Batchelor G K 1970 J. Fluid Mech. 41 545
[3] Nunan K C and Keller J B 1984 J. Fluid Mech. 142 269
[4] Sherwood J D 2006 Chem. Eng. Sci. 61 6727
[5] Chen J Y and Fan Z 2002 Mater. Sci. Technol. 18 237
[6] Petrie C J S 2006 J. Non-Newtonian Fluid Mech. 137 15
[7] Fan Z and Chen J Y 2002 Mater. Sci. Technol. 18 243
[8] Tao R and Xu X 2005 Energy & Fuels 20 2046
[9] Feng R F, Zhang X Z and Wu Z Z 1994 Chin. Phys. 3 332
[10] Li J W, Ma Y G and Ma G L 2009 Chin. Phys. B 18 4786
[11] Tao R and Huang K 2011 Phys. Rev. E 81 011905
[12] Tao R 2011 Journal of Intelligent Material Systems and Structures 22 1667
[13] Eshelby J D 1957 Prod. R. Soc. A 241 376
[14] Nemat-Nasser S and Taya M 1984 J. Fluid Mech. 142 268
[15] Gu G Q and Tao R 1988 Phys. Rev. B 37 8612
[16] Gu G Q and Tao R B 1988 Acta Phys. Sin. 37 582 (in Chinese)
[17] Gu G Q, Hui P M, Xu C and Woo W C 2001 Solid State Commun. 120 483
[18] Wei E B, Poon Y M, Shin F G and Gu G Q 2006 Phys. Rev. B 74 014107
[19] Gu G Q and Tao R 1989 Sci. Chin. A 32 1186
[20] Gu G Q and Yu K W 2000 Appl. Math. Mech. 21 275
[21] Taylor G I 1931 Proc. R. Soc. A 138 41
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