Volume 110
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Xiao, Y., Xu, W., Li, A., Han, Y., Zhao, Y., Xi, X., & Zhang, R. (2026). Non-local propagation of dynamic fluctuations in granular discharge: A wave correlation analysis. Particuology, 110, 144-153. https://doi.org/10.1016/j.partic.2026.01.018
Non-local propagation of dynamic fluctuations in granular discharge: A wave correlation analysis
Yawen Xiao a b *, Wanda Xu a, Anqi Li c, Yanlong Han c, Yanqin Zhao a, Xiaobo Xi a b, Ruihong Zhang a b
a School of Mechanical Engineering, Yangzhou University, Yangzhou, 225127, China
b Jiangsu Engineering Center for Modern Agricultural Machinery and Agronomy Technology, Yangzhou, 225127, China
c College of Engineering, Northeast Agricultural University, Harbin, 150030, China
10.1016/j.partic.2026.01.018
Volume 110, March 2026, Pages 144-153
Received 3 September 2025, Revised 17 December 2025, Accepted 14 January 2026, Available online 23 January 2026, Version of Record 30 January 2026.
E-mail: Yawenxyw@yzu.edu.cn

Highlights

• DCCA was proposed to characterize fluctuation characteristics during discharge process.

• The fluctuation patterns along both radial and axial directions of silo were analyzed.

• The temporal-scale and spatial-scale correlations of wave propagation were investigated.

• Discharge fluctuations exhibit significant dependencies across both temporal and spatial scales.


Abstract

Understanding dynamic fluctuations in granular discharge is critical for addressing stability challenges in dense granular systems, which are central to industrial processes and natural phenomena. This study combines discrete element method (DEM) simulations with detrended cross-correlation analysis (DCCA) to quantitatively investigate the non-local propagation of dynamic fluctuations in both axial and radial directions. Results demonstrate that axial fluctuations exhibit scale-dependent temporal correlations, stabilizing at 1.5 s near the silo outlet and 1 s at higher positions, with a characteristic spatial wavelength of approximately 10 particle diameters. In contrast, radial fluctuations show weaker correlations, marked by anti-phase patterns across shear layers, while correlations strengthen with axial elevation due to enhanced collective particle motion. Dead zones near the outlet further influence radial spatial-scale correlations, reducing their intensity at higher elevations. This DCCA-based correlation analysis thus establishes a quantitative, single-parameter framework for characterizing fluctuation propagation in such complex, multi-source regimes. These findings provide a methodological basis for the quantitative analysis of fluctuation dynamics and offer quantifiable benchmarks for assessing discharge stability.

Graphical abstract
Keywords
Dynamic fluctuations; Granular discharge; Detrended cross-correlation analysis; Timescale correlation; Spatial-scale correlation