Predicting wall drag coefficient and settling velocity of particle in parallel plates filled with Newtonian fluids--颗粒学报PARTICUOLOGY

Zhu, Z., Song, X., Li, G., Xu, Z., Jing, S., Qin, X., & Duan, S. (2021). Predicting wall drag coefficient and settling velocity of particle in parallel plates filled with Newtonian fluids. Particuology, 58, 242-250. https://doi.org/10.1016/j.partic.2021.03.009

Predicting wall drag coefficient and settling velocity of particle in parallel plates filled with Newtonian fluids

Zhaopeng Zhu ^a, Xianzhi Song ^a *, Gensheng Li ^a, Zhengming Xu ^b, Silin Jing ^a, Xiaozhou Qin ^a, Shiming Duan ^a

a State Key Laboratory of Petroleum Resources and Prospecting, China University of Petroleum, Beijing 102249, China
b China University of Geosciences, Beijing 100089, China

10.1016/j.partic.2021.03.009

Volume 58, October 2021, Pages 242-250

Received 13 September 2020, Revised 7 January 2021, Accepted 16 March 2021, Available online 11 April 2021, Version of Record 13 September 2021.

E-mail: songxz@cup.edu.cn

Highlights

• Wall drag coefficient is introduced to evaluate wall drag force of parallel plates.

• An explicit model of settling velocity for particle in parallel plates is developed.

• Effects of rheology and roughness on wall drag force should be further revealed.

Abstract

The hindrance of boundary to particle transport exists widely in various industrial applications. In this study, the wall drag force of parallel plates on settling particles was revealed through settling experiment. High-speed camera was used to record and analyze the settling process of particles in parallel plates that are filled with Newtonian fluids. A total of 600 experiments were carried out, involving the range of relative diameter and particle Reynolds number of 0.01–0.95 and 0.004–14.30, respectively. The wall drag coefficient was defined to quantitatively analyze the wall drag force of the parallel plates. The influence of relative diameter, particle properties, rheological properties, and the settling dynamic process on the wall drag coefficient was revealed, and the wall drag coefficient model with mean relative error of 5.90% was established. Furthermore, an explicit settling velocity model with mean relative error of 8.96% for the particle in parallel plates was developed by introducing a dimensionless variable independent of settling velocity, the Archimedes number. Finally, a calculation example was provided to clarify the using process of the explicit model. This research is expected to provide guidance for optimizing water hydraulic fracturing in the oil and gas industry.

Graphical abstract

Keywords

Wall drag coefficient; Settling velocity; Parallel plates; Explicit model

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