Abstract

AbstractHydraulic roughness is a fundamental property in river research, as it directly affects water levels, flow strength and the associated sediment transport rates. However, quantification of roughness is challenging, as it is not directly measurable in the field. In lowland rivers, bedforms are a major source of hydraulic roughness. Decades of research have focused on dunes to allow parameterization of roughness, with relatively little focus on field verification. This study aims to establish the predictive capacity of current roughness predictors, and to identify reasons for the unexplained part of the variance in roughness. We quantified hydraulic roughness based on the Darcy‐Weisbach friction factor (f) calculated from hydraulic field data of a 78 km‐long trajectory of the river Rhine and river Waal in the Netherlands. This is compared to predicted roughness values based on dune geometry, and to the spatial trends in the local topographic leeside angle, both inferred from bathymetric field data. Results from both approaches show the same general trend and magnitude of roughness values (0.019 < f < 0.069). Roughness inferred from dune geometry explains at best 31% of the variance. Efforts to explain the remaining variance from statistics of the local topographic leeside angles, which supposedly control flow separation, were unsuccessful. Unexpectedly, multi‐kilometer depth oscillations explain 34% of the total roughness variations. We suggest that flow divergence associated with depth increase causes energy loss, which is reflected in an elevated hydraulic roughness. Multi‐kilometer depth variations occur in many rivers worldwide, which implies a cause of flow resistance that needs further study.

Highlights

  • Hydraulic roughness, which quantifies the resistance to flow by objects protruding into the water column (Chow, 1959), is a fundamental property in hydraulics

  • We quantified the Darcy-Weisbach friction factor based on water surface slope measurements, over a trajectory of 78 kilometer of the main branch of the river Rhine in the Netherlands. We compare this to the predicted roughness value based on dune geometry, and to the spatial distribution of various measures of the leeside angle, both inferred from bathymetric field data

  • Our finding suggests additional flow energy dissipates as a result of flow divergence at the scale of kilometers, which is typically viewed as a scale beyond what is relevant for hydraulic roughness

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Summary

Introduction

Hydraulic roughness, which quantifies the resistance to flow by objects protruding into the water column (Chow, 1959), is a fundamental property in hydraulics. Due to its influence on water levels, flow structure and the associated sediment transport, understanding roughness is crucial to comprehend river dynamics. Hydraulic roughness at the bed of a main channel with abundant bedforms, consists of grain-friction drag and form drag. Form drag induced by dunes is estimated with predictors based on dune height and length (Bartholdy et al, 2010; Lefebvre & Winter, 2016; Soulsby, 1997; Van Rijn, 1984). Many (semi-) empirical predictors are adjusted versions of the empirical roughness model of Van Rijn (1984), and are mainly calibrated using flume data (Bartholdy et al, 2010; Soulsby, 1997).

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