Spatial Structure of 1/f Noise in Granular Flow Through a Pipe

A. Nakahara and M. Nakahara
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A. Nakahara: Nihon University, Laboratory of Physics, College of Science and Technology
M. Nakahara: Tsukuba University, Institute of Material Sciences

A chapter in Traffic and Granular Flow’01, 2003, pp 479-483 from Springer

Abstract: Abstract We experimentally studied the spatio-temporal structure of non-uniform flow of granular materials which fall through a vertical pipe filled with liquid. As we increase the packing fraction of granular materials inside the pipe, the flow pattern changes from the low-packing free-fall flow to the high-packing slugging flow. At the intermediate packing fraction between the free-fall flow and the slugging flow, slugs come to appear, but since all these slugs are unstable, they emerge and disappear frequently. We find that the power spectrum P(f) of the density fluctuations with frequency f shows 1/f noise at the intermediate packing fraction. As for the spatial structure, however, the structure factor S(k) with a wave number k does not obey a power law even at this intermediate packing fraction. These results indicate that 1/f noise in pipe flow is not induced by the spatio-temporal criticality.

Keywords: Power Spectrum; Granular Material; Traffic Flow; Density Fluctuation; Pipe Flow (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-662-10583-2_49

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DOI: 10.1007/978-3-662-10583-2_49

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