Nonlinear Shear Effects of the Secondary Current in the 2D Flow Analysis in Meandering Channels with Sharp Curvature

In order to analyze the shear effect of secondary currents on the flow structures in a meandering channel, this research developed a two-dimensional shallow water model, which included the dispersion stress term accounting for the shear effect in the vertical velocity profile. A new equation for the...

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Main Authors: Jaehyun Shin, Il Won Seo
Format: Article
Language:English
Published: MDPI AG 2021-05-01
Series:Water
Subjects:
Online Access:https://www.mdpi.com/2073-4441/13/11/1486
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author Jaehyun Shin
Il Won Seo
author_facet Jaehyun Shin
Il Won Seo
author_sort Jaehyun Shin
collection DOAJ
description In order to analyze the shear effect of secondary currents on the flow structures in a meandering channel, this research developed a two-dimensional shallow water model, which included the dispersion stress term accounting for the shear effect in the vertical velocity profile. A new equation for the vertical velocity profile that included nonlinear shear effects was derived from the equation of motion in the meandering channel with sharp curvature. Using the experiment data obtained from large-scale meandering channels, the ratio of the depth over the radius-of-curvature was incorporated into the shear intensity of the secondary flow in the proposed equation. Comparisons with the experimental results by previous research showed that the computed values of the primary velocity distribution by the proposed model showed better fit with the observed data than the simulations with linear models and models without secondary flow consideration. The simulated results in the large-scale meandering channels demonstrated that simulations with the nonlinear secondary flow effect added into modeling gave higher accuracy, reducing the relative error by 19% in reproducing the skewed distributions of the primary flow in meandering channels, particularly in the regions where the effects from spiral motion were strong, due to sharp meanders.
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spelling doaj.art-19f93f9eeef14e8797d4d759321bfba92023-11-21T21:27:55ZengMDPI AGWater2073-44412021-05-011311148610.3390/w13111486Nonlinear Shear Effects of the Secondary Current in the 2D Flow Analysis in Meandering Channels with Sharp CurvatureJaehyun Shin0Il Won Seo1Korea Institute of Civil Engineering and Building Technology, Goyangdae-Ro, Ilsanseo-Gu, Goyang-Si 10223, KoreaDepartment of Civil Engineering, Seoul National University, 1 Gwanak-Ro, Gwanak-Gu, Seoul 08826, KoreaIn order to analyze the shear effect of secondary currents on the flow structures in a meandering channel, this research developed a two-dimensional shallow water model, which included the dispersion stress term accounting for the shear effect in the vertical velocity profile. A new equation for the vertical velocity profile that included nonlinear shear effects was derived from the equation of motion in the meandering channel with sharp curvature. Using the experiment data obtained from large-scale meandering channels, the ratio of the depth over the radius-of-curvature was incorporated into the shear intensity of the secondary flow in the proposed equation. Comparisons with the experimental results by previous research showed that the computed values of the primary velocity distribution by the proposed model showed better fit with the observed data than the simulations with linear models and models without secondary flow consideration. The simulated results in the large-scale meandering channels demonstrated that simulations with the nonlinear secondary flow effect added into modeling gave higher accuracy, reducing the relative error by 19% in reproducing the skewed distributions of the primary flow in meandering channels, particularly in the regions where the effects from spiral motion were strong, due to sharp meanders.https://www.mdpi.com/2073-4441/13/11/1486secondary currentsharp curvature channelshallow water modeldispersion stressvertical velocity profilenonlinear shear effect
spellingShingle Jaehyun Shin
Il Won Seo
Nonlinear Shear Effects of the Secondary Current in the 2D Flow Analysis in Meandering Channels with Sharp Curvature
Water
secondary current
sharp curvature channel
shallow water model
dispersion stress
vertical velocity profile
nonlinear shear effect
title Nonlinear Shear Effects of the Secondary Current in the 2D Flow Analysis in Meandering Channels with Sharp Curvature
title_full Nonlinear Shear Effects of the Secondary Current in the 2D Flow Analysis in Meandering Channels with Sharp Curvature
title_fullStr Nonlinear Shear Effects of the Secondary Current in the 2D Flow Analysis in Meandering Channels with Sharp Curvature
title_full_unstemmed Nonlinear Shear Effects of the Secondary Current in the 2D Flow Analysis in Meandering Channels with Sharp Curvature
title_short Nonlinear Shear Effects of the Secondary Current in the 2D Flow Analysis in Meandering Channels with Sharp Curvature
title_sort nonlinear shear effects of the secondary current in the 2d flow analysis in meandering channels with sharp curvature
topic secondary current
sharp curvature channel
shallow water model
dispersion stress
vertical velocity profile
nonlinear shear effect
url https://www.mdpi.com/2073-4441/13/11/1486
work_keys_str_mv AT jaehyunshin nonlinearsheareffectsofthesecondarycurrentinthe2dflowanalysisinmeanderingchannelswithsharpcurvature
AT ilwonseo nonlinearsheareffectsofthesecondarycurrentinthe2dflowanalysisinmeanderingchannelswithsharpcurvature