1. Convection of granular matter in a frequency-domain perspective and an endogenous low-frequency excitation perturbation.
- Author
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Zhang, Shukai and Wang, Xiaopeng
- Subjects
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HEAT convection , *GRANULAR flow , *FOURIER analysis , *PARTICLE motion , *FOURIER transforms , *TIME-domain analysis - Abstract
The limitations of the time-domain perspective hinder the solution of the critical problems of granular convection. Single-cycle analysis lacks statistical significance, and statistics for multiple cycles lose flow features. Time-domain analysis is not a suitable approach for proving the extant convection mechanisms and studying the characteristic behavior of the excitation source. We use frequency-domain analysis based on the Fourier transform for the two critical questions. The flow field's spectra can be described by the sinusoidal components at the base frequency, perturbation frequency, convection frequency, and their derivatives. The base frequency is necessary for establishing a convection mechanism because it allows the vibration cycle to be divided. The convection frequency describes the convection motion of particles. The perturbation frequency indicates a spontaneous periodic interference for the excitation source, which is universal in a vibrating granular bed. Our study deepens the application of frequency-domain analysis to the study of granular flows subject to periodic excitations. [Display omitted] • Granular convection in the frequency-domain view is investigated. • The spectral composition of the convection flow field is analyzed. • The peak at base frequency is necessary for the establishment of a convection mechanism. • The excitation source is subject to spontaneous periodic interference. [ABSTRACT FROM AUTHOR]
- Published
- 2024
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