https://doi.org/10.1140/epje/s10189-021-00159-x
Regular Article - Flowing Matter
Application of superstatistical analysis on fluctuant surface shear in particle-laden turbulence boundary layer
1
Key Laboratory of Mechanics on Disaster and Environment in Western China, College of Civil Engineering and Mechanics, Lanzhou University, 730000, Lanzhou, China
2
College of Atmospheric science, Lanzhou University, 730000, Lanzhou, China
3
School of Architecture, Civil and Environmental Engineering, Swiss Federal Institute of Technology Lausanne, 1015, Lausanne, Switzerland
4
College of Architecture and Energy Engineering, Wenzhou University of Technology, 325088, Wenzhou, China
5
Laboratoire PMMH, ESPCI, CNRS UMR 7636, 75005, Paris, France
6
Departamento de Física, Universidade Federal do Ceara, 60020-181, Fortaleza, Brazil
Received:
20
October
2021
Accepted:
22
December
2021
Published online:
24
January
2022
We report on an application of superstatistics to particle-laden turbulent flow. Four flush-mounted hot-film wall shear sensors were used to record the fluctuations of the wall shear stress in sand-laden flow. By comparing the scaling exponent in sand-free with that in sand-laden flows, we found that the sand-laden flow is more intermittent. By applying the superstatistics analysis to the friction velocity, we found that the large time scale is smaller when the flow is sand-laden. The probability density of a fluctuating energy dissipation rate measured in sand-laden flow follows a log-normal distribution with higher variances than for sand-free flow. The variance of this dissipation rate is a power law of the corresponding time scale. The prediction based on the superstatistics model is consistent with our structure function exponents 
for sand-free flow. Nevertheless, it overestimates for sand-laden flow, especially at higher Reynolds numbers.
© The Author(s) 2022
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