A new physical model on the capillary phenomenon of granular particles

doi:10.1007/s10483-019-2406-6

Applied Mathematics and Mechanics (English Edition) ›› 2019, Vol. 40 ›› Issue (1): 127-138.doi: https://doi.org/10.1007/s10483-019-2406-6

A new physical model on the capillary phenomenon of granular particles

Nan ZHANG, Bin CHENG, Hexi BAOYIN

Department of Aerospace Engineering, Tsinghua University, Beijing 100084, China

收稿日期:2018-07-09 修回日期:2018-08-19 出版日期:2019-01-01 发布日期:2019-01-01
通讯作者: Hexi BAOYIN E-mail:baoyin@tsinghua.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China for Distinguished Young Scholars (No. 11525208)

A new physical model on the capillary phenomenon of granular particles

Nan ZHANG, Bin CHENG, Hexi BAOYIN

Department of Aerospace Engineering, Tsinghua University, Beijing 100084, China

Received:2018-07-09 Revised:2018-08-19 Online:2019-01-01 Published:2019-01-01
Contact: Hexi BAOYIN E-mail:baoyin@tsinghua.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China for Distinguished Young Scholars (No. 11525208)

摘要/Abstract

摘要：

Similar to the capillary phenomenon of liquid, granular particles can move up to a certain height along a vertically vibrating tube. The certain height, which is called the equilibrium height, is related to some parameters, e.g., the inner diameter of the tube, the amplitude, and the vibration frequency. In this paper, a theoretical model is proposed to explain the physical origin of the capillary phenomenon and the effects of the inner diameter of the tube, the amplitude, and the vibration frequency on the equilibrium height. In this model, the volumes of the inflowing and outflowing particles in a vibration period are calculated, which can significantly broaden our understanding in the flow of particles in the bottom of the tube. In order to prove the assumption of this physical model that the particles in the bottom of the tube move in the form of sine, several experiments are conducted. The granular climbing heights at different granular positions and different time stages are measured. The results show that granules move in the form of sine, which almost coincides with the motion of the tube. Moreover, motivated by the sampling on the asteroid regolith based on this mechanism, the sampling efficiencies for various vibration amplitudes and frequencies are discussed based on the new proposed model. It is found that there is an optimum frequency at which sampling is the most effective.

关键词: tunction, generalized derivative, thin plate, variation (mathematies), vertical vibration, granular matter, theoretical analysis, nonlinear dynamics

Abstract:

Key words: tunction, generalized derivative, thin plate, variation (mathematies), nonlinear dynamics, granular matter, vertical vibration, theoretical analysis

中图分类号:

74F10

Nan ZHANG, Bin CHENG, Hexi BAOYIN. A new physical model on the capillary phenomenon of granular particles[J]. Applied Mathematics and Mechanics (English Edition), 2019, 40(1): 127-138.

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A new physical model on the capillary phenomenon of granular particles

A new physical model on the capillary phenomenon of granular particles

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