Squeeze flow of interstitial Herschel–Bulkley fluid between two rigid spheres--颗粒学报PARTICUOLOGY

Xu, C., Yuan, L., Xu, Y., & Hang, W. (2010). Squeeze flow of interstitial Herschel–Bulkley fluid between two rigid spheres. Particuology, 8(4), 360-364. https://doi.org/10.1016/j.partic.2009.07.008

Squeeze flow of interstitial Herschel–Bulkley fluid between two rigid spheres

Chunhui Xu^*, Li Yuan, Yong Xu, Wenbin Hang

College of Science, China Agricultural University, Beijing 100083, China

10.1016/j.partic.2009.07.008

Volume 8, Issue 4, August 2010, Pages 360-364

Received 11 March 2009, Revised 11 June 2009, Accepted 3 July 2009, Available online 18 June 2010.

E-mail: xuchunhui_cau@163.com

Highlights

Abstract

Interaction between two spheres with an interstitial fluid is crucial in discrete element modeling for simulating the behaviors of ‘wet’ particulate materials. The normal viscous force of squeeze flow between two arbitrary rigid spheres with an interstitial Herschel–Bulkley fluid was studied on the basis of Reynolds’ lubrication theory, resulting in analytical integral expressions of pressure distribution and the viscous force between the two spheres. According to the variation of shear stress, the fluid was divided into yielding and unyielding regions, followed by a discussion on the thickness of the two regions. The result of this paper could be reduced to either the power-law fluid or the Bingham fluid case.

Graphical abstract

Keywords

Wet granule; Discrete element method; Herschel–Bulkley fluid; Viscous force

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