The squeeze flow of a bi-viscosity fluid between two rigid spheres with wall slip--颗粒学报PARTICUOLOGY

Zhou, T., Lin, D., Shen, Y., Yang, W., Xu, C., & Chen, X. (2023). The squeeze flow of a bi-viscosity fluid between two rigid spheres with wall slip. Particuology, 79, 153-160. https://doi.org/10.1016/j.partic.2022.11.003

The squeeze flow of a bi-viscosity fluid between two rigid spheres with wall slip

Tianyi Zhou ^a, Da Lin ^a, Yujia Shen ^a, Wei Yang ^b, Chunhui Xu ^a, Xuedong Chen ^a *

a College of Science, China Agricultural University, Beijing, 100083, China
b Chinese Academy of Agricultural Mechanization Sciences Group Co., Ltd, Beijing, 100083, China

10.1016/j.partic.2022.11.003

Volume 79, August 2023, Pages 153-160

Received 26 June 2022, Revised 30 September 2022, Accepted 2 November 2022, Available online 19 November 2022, Version of Record 24 January 2023.

E-mail: chenxuedong@cau.edu.cn

Highlights

• Bi-viscosity fluid with slip and no-slip boundary conditions are considered.

• Squeeze force increases linearly with velocity when most boundary fluid reaches yield.

• Squeeze force increases logarithmically with velocity when part of the boundary fluid reaches yield.

• Squeeze force between rigid spheres tends to zero when slip parameter tends to infinity.

Abstract

In this paper, the squeeze flow between two rigid spheres with a bi-viscosity fluid is examined. Based on lubrication theory, the squeeze force is calculated by deriving the pressure and velocity expressions. The results of the normal squeeze force are discussed, and fitting functions of the squeeze and correction coefficients are given. The squeeze force between the rigid spheres increases linearly or logarithmically with the velocity when most or part of the boundary fluid reaches the yield state, respectively. Furthermore, the slip correction coefficient decreases with the increase in the velocity. The investigation may contribute to the further study of bi-viscosity fluids between rigid spheres with wall slip.

Graphical abstract

Keywords

Squeeze flow; Bi-viscosity fluid; Rigid spheres; Wall slip

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