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ISSN Druckformat: 2152-5102
ISSN Online: 2152-5110
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An Analytical Model for Velocity Distribution and Dip-Phenomenon in Uniform Open Channel Flows
ABSTRAKT
An analytical equation for velocity distribution in uniform open-channel flows is proposed based on an eddy viscosity with a modified wake correction and on an analysis of shear stress distribution. The proposed equation for the velocity distribution in vertical direction is able to predict the velocity-dip-phenomenon. The new log-wake modified eddy viscosity model is compared with the previous models. The proposed equation i. e., total-dip-modified-log-wake law for velocity distribution is compared with the experimental data obtained by Coleman, Wang and Qian, Lyn and Kironoto and Graf. The total-dip-modified-log-wake law agrees well with the experimental data and predicts the velocity dip position accurately. It has been found that the Coles' wake strength has significant effect on the location of the dip position and the value increases with the increase of dip-correction parameter.
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Ghoshal Koeli, Kundu Snehasis, Influence of secondary current on vertical concentration distribution in an open channel flow, ISH Journal of Hydraulic Engineering, 19, 2, 2013. Crossref
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Bonakdari Hossein, Moazamnia Marjan, Modeling of velocity fields by the entropy concept in narrow open channels, KSCE Journal of Civil Engineering, 19, 3, 2015. Crossref
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Kundu Snehasis, Ghoshal Koeli, Effects of secondary current and stratification on suspension concentration in an open channel flow, Environmental Fluid Mechanics, 14, 6, 2014. Crossref
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Fullard Luke A., Wake Graeme C., An analytical series solution to the steady laminar flow of a Newtonian fluid in a partially filled pipe, including the velocity distribution and the dip phenomenon, IMA Journal of Applied Mathematics, 2015. Crossref
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Kundu Snehasis, Effect of lateral bed roughness variation on particle suspension in open channels, Environmental Earth Sciences, 75, 8, 2016. Crossref
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Pal Debasish, Ghoshal Koeli, Vertical distribution of fluid velocity and suspended sediment in open channel turbulent flow, Fluid Dynamics Research, 48, 3, 2016. Crossref
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Kundu Snehasis, Prediction of velocity-dip-position over entire cross section of open channel flows using entropy theory, Environmental Earth Sciences, 76, 10, 2017. Crossref
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Kundu Snehasis, Kumbhakar Manotosh, Ghoshal Koeli, Reinvestigation on mixing length in an open channel turbulent flow, Acta Geophysica, 66, 1, 2018. Crossref
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Kundu Snehasis, Asymptotic model for velocity dip position in open channels, Applied Water Science, 7, 8, 2017. Crossref
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Lu Jinyou, Zhou Yinjun, Zhu Yonghui, Xia Junqiang, Wei Li, Improved formulae of velocity distributions along the vertical and transverse directions in natural rivers with the sidewall effect, Environmental Fluid Mechanics, 18, 6, 2018. Crossref
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Jain Punit, Kumbhakar Manotosh, Ghoshal Koeli, A mathematical model on depth-averagedβ-factor in open-channel turbulent flow, Environmental Earth Sciences, 77, 6, 2018. Crossref
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Mahananda Minakshee, Hanmaiahgari Prashanth Reddy, Ojha Chandra Shekhar Prasad, Balachandar Ram, A new analytical model for dip modified velocity distribution in fully developed turbulent open channel flow, Canadian Journal of Civil Engineering, 46, 8, 2019. Crossref
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Mirauda Domenica, Russo Maria Grazia, Entropy Wake Law for Streamwise Velocity Profiles in Smooth Rectangular Open Channels, Entropy, 22, 6, 2020. Crossref
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Jain Punit, Ghoshal Koeli, An explicit expression for velocity profile in presence of secondary current and sediment in an open channel turbulent flow, Canadian Journal of Civil Engineering, 48, 1, 2021. Crossref
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Kumbhakar Manotosh, Streamwise velocity profile in open-channel flow based on Tsallis relative entropy, Chaos: An Interdisciplinary Journal of Nonlinear Science, 30, 7, 2020. Crossref
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Ghosh Surath, Kundu Snehasis, Kumar Sunil, Time fractional advection-dispersion model to study transportation of particles with time-memory for unsteady nonequilibrium suspension in open-channel turbulent flows, Physica Scripta, 96, 12, 2021. Crossref
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Kumbhakar Manotosh, Ray Rajendra K., Chakraborty Suvra Kanti, Ghoshal Koeli, Singh Vijay P., Mathematical modelling of streamwise velocity profile in open channels using Tsallis entropy, Communications in Nonlinear Science and Numerical Simulation, 94, 2021. Crossref
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Kundu Snehasis, Ghoshal Koeli, Effects of non-locality on unsteady nonequilibrium sediment transport in turbulent flows: A study using space fractional ADE with fractional divergence, Applied Mathematical Modelling, 96, 2021. Crossref
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Kundu Snehasis, Sen Sumit, Mohan Shiv, Ghoshal Koeli, Two-dimensional distribution of stream-wise mean velocity in turbulent flow with effect of suspended sediment concentration, Environmental Fluid Mechanics, 22, 1, 2022. Crossref
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Ahamed Nizamuddin, Kundu Snehasis, Application of the fractional entropy for one-dimensional velocity distribution with dip-phenomenon in open-channel turbulent flows, Stochastic Environmental Research and Risk Assessment, 36, 5, 2022. Crossref
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Mohan Shiv, Kumbhakar Manotosh, Ghoshal Koeli, Kumar Jitendra, Semianalytical Solution for Simultaneous Distribution of Fluid Velocity and Sediment Concentration in Open-Channel Flow, Journal of Engineering Mechanics, 145, 11, 2019. Crossref
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Kundu Snehasis, Chattopadhyay Titas, Analysis and validation of mathematical models of secondary velocities along vertical and transverse directions in wide open-channel turbulent flows, Fluid Dynamics Research, 54, 1, 2022. Crossref
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Kundu Snehasis, Chattopadhyay Titas, Pu Jaan H., Analytical models of mean secondary velocities and stream functions under different bed-roughness configurations in wide open-channel turbulent flows, Environmental Fluid Mechanics, 22, 1, 2022. Crossref
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Mishra Pankaj, Kumar Dhirendra, Magnetic field and Rotation effect on thermal stability in an Anisotropic couple-stress fluid saturated Porous Layer under presence of Cross-Diffusion, Journal of Physics: Conference Series, 1849, 1, 2021. Crossref
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Kundu Snehasis, Study of unsteady nonequilibrium stratified suspended sediment distribution in open-channel turbulent flows using shifted Chebyshev polynomials, ISH Journal of Hydraulic Engineering, 28, 1, 2022. Crossref
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Jain Punit, Kundu Snehasis, Ghoshal Koeli, Absi Rafik, Direct Derivation of Streamwise Velocity from RANS Equation in an Unsteady Nonuniform Open-Channel Flow, Journal of Engineering Mechanics, 148, 12, 2022. Crossref
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Sen Sumit, Kundu Snehasis, Absi Rafik, Ghoshal Koeli, A Model for Coupled Fluid Velocity and Suspended Sediment Concentration in an Unsteady Stratified Turbulent Flow through an Open Channel, Journal of Engineering Mechanics, 149, 1, 2023. Crossref