Scaling the normal stresses in concentrated non-colloidal suspensions of spheres

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• 作者：Roger I. Tanner (1)
  Fuzhong Qi (1)
  Shaocong Dai (1)
  
• 关键词：Suspensions ; Newtonian ; Non ; colloidal ; Normal stresses ; Scaling ; Effective volume fraction
• 刊名：Rheologica Acta
• 出版年：2013
• 出版时间：April 2013
• 年：2013
• 卷：52
• 期：4
• 页码：291-295
• 全文大小：304KB
• 参考文献：1. Bertevas E, Fan XJ, Tanner RI (2010) Simulation of the rheological properties of suspensions of oblate spheroidal particles in a Newtonian fluid. Rheol Acta 49:53-3 i.org/10.1007/s00397-009-0390-8">CrossRef
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• 作者单位：Roger I. Tanner (1)
  Fuzhong Qi (1)
  Shaocong Dai (1)
  
  1. School of Aerospace, Mechanical and Mechatronic Engineering, University of Sydney, Sydney, NSW 2006, Australia
  
• ISSN：1435-1528

文摘

We have collected six sets of results for the ratio of the second normal stress difference to the shear stress $(N_{2}/\tau )$ in non-colloidal suspensions of spheres in Newtonian matrices. They all show a near-cubic dependence on the volume fraction $\varphi $ in the range $0.1 < \varphi < 0.5$ , in contrast to the square law predictions of Brady and Morris (J Fluid Mech 348:103-39, 1997) for dilute suspensions. We suggest that the difference can be resolved by using a dependence on the square of the effective volume fraction $\varphi _{\textrm e}$ , and good agreement is then found.