Topic
Hele-Shaw flow
About: Hele-Shaw flow is a research topic. Over the lifetime, 5451 publications have been published within this topic receiving 151320 citations.
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TL;DR: In this article, the authors describe a finite element code for debris flows developed to model the flow within a steep channel and the stopping conditions on the fan, which allows the systematic comparison of a wide variety of previously proposed one-phase flow resistance laws using the same finite element solution method.
Abstract: . This paper describes a one-dimensional finite element code for debris flows developed to model the flow within a steep channel and the stopping conditions on the fan. The code allows the systematic comparison of a wide variety of previously proposed one-phase flow resistance laws using the same finite element solution method. The one-dimensional depth-averaged equations of motion and the numerical model are explained. The model and implementation of the flow resistance relations was validated using published analytical results for the dam break case. Reasonable agreement for the front velocities and stopping location for a debris-flow event in the Kamikamihori torrent in Japan can be achieved with turbulent flow resistance relations including "stop" terms which allow the flow to come to rest on a gently sloping surface. While it is possible to match the overall bulk flow behavior using relatively simple flow resistance relations, they must be calibrated. A sensitivity analysis showed that the shape of the upstream input hydrograph does not much affect the flow conditions in the lower part of the flow path, whereas the event volume is much more important.
142 citations
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TL;DR: In this article, a particle image velocimetry (PIV) was used to measure the flow dynamics at the surface of shallow water flows over a large measuring field, which made it possible to track two-dimensional large coherent structures, which are dominating flow phenomena in many shallow flow applications.
142 citations
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TL;DR: In this paper, the series for steady fully developed laminar flow through a toroidal pipe of small curvature ratio has been extended by computer to 24 terms and it was shown that convergence is limited by a square root singularity on the negative axis of the square of the Dean number.
Abstract: Dean's series for steady fully developed laminar flow through a toroidal pipe of small curvature ratio has been extended by computer to 24 terms Analysis suggests that convergence is limited by a square-root singularity on the negative axis of the square of the Dean number An Euler transformation and extraction of the leading and secondary singularities at infinity render the series accurate for all Dean numbers For curvature ratios no greater than , experimental measurements of the laminar friction factor agree with the theory over a wide range of Dean numbers In particular, they confirm our conclusion that the friction in a loosely coiled pipe grows asymptotically as the one-quarter power of the Dean number based on mean flow speed This contradicts a number of incomplete boundary-layer analyses in the literature, which predict a square-root variation
141 citations
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TL;DR: In this paper, a review of the understanding of how flow resistance is generated in open channel flows and evaluates the different approaches used to model the flow resistance that originates at the bed in coarse-grained alluvial rivers is presented.
141 citations
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TL;DR: In this paper, the authors studied flow and heat transfer in periodic wavy channels with rectangular cross sections using direct numerical simulation, for increasing Reynolds numbers spanning from the steady laminar to transitional flow regimes.
140 citations