Length scale of density waves in the gravitational flow of fine grains in pipes
Autor: | Franklin, Erick de Moraes, Zambrano, Carlos Azael Alvarez |
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Rok vydání: | 2016 |
Předmět: | |
Zdroj: | Journal of the Brazilian Society of Mechanical Sciences and Engineering, v. 37, p. 1507-1513, 2015 |
Druh dokumentu: | Working Paper |
DOI: | 10.1007/s40430-014-0291-3 |
Popis: | Gravitational flow of grains in pipes is frequently encountered in industry. When the grains and pipes are size-constrained, granular flow may result in density waves consisting of alternate high- and low-compactness regions. This paper discusses the length scale of density waves that appear when fine grains fall vertically in pipes. A one-dimensional model and a linear stability analysis of the model are presented. The analysis suggests the presence of long-wavelength instability for the most unstable mode, moreover, a cut-off wavenumber from which the length scale is estimated. Finally, the model results are compared to experimental data. Comment: Accepted Manuscript for the Journal of the Brazilian Society of Mechanical Sciences and Engineering, v. 37, p. 1507-1513, 2015. The final publication is available at Springer via http://dx.doi.org/10.1007/s40430-014-0291-3 |
Databáze: | arXiv |
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