Analysis of bedload transport in laminar flows |
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| Institution: | 1. Institute of Ecology, University of Innsbruck, Sternwartestrasse 15, 6020 Innsbruck, Austria;2. Institute for Alpine Environment, European Academy Bozen (EURAC), Drususallee 1, 39100 Bozen, Italy;3. Federal Forest Research Center (BFW), Department of Natural Hazards, Hofburg, Rennweg 1, A-6020 Innsbruck, Austria;1. University of Guilan, Rasht, Iran;2. Department of Soil Science, Faculty of Agricultural Sciences, University of Guilan, Rasht, Iran;3. Department of Irrigation Eng., Faculty of Agricultural Sciences, University of Guilan, Rasht, Iran;4. Faculty of Environmental Sciences, Environmental Future Centre, Griffith University, Nathan, Queensland 4111, Australia |
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| Abstract: | Bedload transport generally depends on the bed shear stress and Reynolds number. Many studies conducted for the condition of turbulent flows have revealed the dependence of the transport rate on the bed shear stress, while knowledge of the Reynolds number effect on the transport rate is very limited. As an extreme case to reflect the viscous effect on sediment transport, sediment transport in laminar flows is considered in this paper. A stochastic approach is adopted to explore how the transport rate can be associated with characteristics of laminar flows. First, the probability of erosion in the absence of turbulence is assumed to depend only on the randomness of bed particles. The probability is then applied to formulate the sediment transport rate, of which the derivation is made largely based on Einstein’s bedload theory. The theoretical result indicates that the dimensionless transport rate for laminar flows is dependent on the dimensionless shear stress and dimensionless particle diameter or the shear Reynolds number. Comparisons are finally made between the derived formula and an empirical correlation available in the literature. |
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