A drag force formula for heterogeneous granular flow systems based on finite average statistical method--颗粒学报PARTICUOLOGY

Li, X., Ouyang, J., Wang, X., & Chu, P. (2021). A drag force formula for heterogeneous granular flow systems based on finite average statistical method. Particuology, 55, 94-107. https://doi.org/10.1016/j.partic.2020.06.004

A drag force formula for heterogeneous granular flow systems based on finite average statistical method

Xin Li, Jie Ouyang, Xiaodong Wang ^*, Panpan Chu

Received 3 April 2020, Revised 1 June 2020, Accepted 8 June 2020, Available online 18 July 2020, Version of Record 3 February 2021.

10.1016/j.partic.2020.06.004

Volume 55, April 2021, Pages 94-107

Received 3 April 2020, Revised 1 June 2020, Accepted 8 June 2020, Available online 18 July 2020, Version of Record 3 February 2021.

E-mail: xiaodongwang@nwpu.edu.cn

Highlights

• Drag force model based on parallel lattice Boltzmann method designed for heterogeneous granular flows.

• An effective data filtering method for establishing the drag formula of heterogeneous granular clusters is proposed.

• Two drag force formulas that reflect the heterogeneity of granular clusters are established.

• The accuracy of the new drag force formulas for heterogeneous granular flow systems is verified.

Abstract

The existing drag models are mostly based on the assumption of homogenous fluidization. However, the use of a homogeneous drag model to predict a heterogeneous granular flow system will cause a deviation. In this study, we developed a drag force model based on the assumption of heterogeneous fluidization. To prevent weakening of the heterogeneous characteristics in the drag force formula, we propose a finite average statistical method to filter the information of the heterogeneous granular cluster. The filtered information was used to fit the modified drag formula, which can reflect the heterogeneity of the granular cluster considering different configurations. A comparison shows that the new proposed drag formula filtered by the finite average statistical method fits well with energy minimization multi-scale simulation results.

Graphical abstract

Keywords

Granular flow; Drag forceHeterogeneous; Lattice Boltzmann method; Finite average statistical method

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