Search citation statements
Paper Sections
Citation Types
Year Published
Publication Types
Relationship
Authors
Journals
Detailed hydraulic measurements were made in nine step-pool, fi ve cascade and one plane-bed reach in Fraser Experimental Forest, Colorado to better understand at-a-station hydraulic geometry (AHG) relations in these channel types. Average values for AHG exponents, m (0·49), f (0·39), and b (0·16), were well within the range found by other researchers working in steep gradient channels. A principal component analysis (PCA) was used to compare the combined variations in all three exponents against fi ve potential control variables: wood, D 84 , grain-size distribution (σ), coeffi cient of variation of pool volume, average roughness-area (projected wetted area) and bed gradient. The gradient and average roughness-area were found to be signifi cantly related to the PCA axis scores, indicating that both driving and resisting forces infl uence the rates of change of velocity, depth and width with discharge. Further analysis of the exponents showed that reaches with m > b + f are most likely dominated by grain resistance and reaches below this value (m < b + f) are dominated by form resistance. Copyright © 2010 John Wiley & Sons, Ltd.KEYWORDS: at-a-station hydraulic geometry (AHG); hydraulic measurements; principal component analysis (PCA); channels At-a-station Hydraulic Geometry and Flow ResistanceAt-a-station hydraulic geometry (AHG) characterizes how changes in discharge affect specifi c hydraulic variables such as width, depth, velocity and friction. Leopold and Maddock (1953) fi rst coined the term 'hydraulic geometry' to describe systematic changes both downstream and at a cross-section for each of the above hydraulic variables. They proposed three power relations to describe how width (w = aQ b ), depth (d = cQ f ) and velocity (v = kQ m ) vary with discharge both downstream and at a given cross-section in a channel, where Q is discharge; w is water-surface width, d is mean depth; and v is velocity. These power relations are bound by the continuity equation (Q = wdv), so that the coeffi cients a, c, and k have a product equal to one and the exponents b, f, and m sum to one. Leopold and Maddock (1953) found that the rates of change of width, depth and velocity with discharge were related to the shape of the channel, the slope of the watersurface and the roughness of the wetted perimeter. They also found the sediment load to be an important control on the rates of change of both velocity and depth (Leopold and Maddock, 1953).Few studies have reported AHG values for steep mountain channels (Lee and Ferguson, 2002;Reid, 2005;Comiti et al., 2007). A better understanding of at-a-station changes in each of the above hydraulic variables can improve our understanding of the sources and magnitude of hydraulic roughness in these channels, which tend to have values of fl ow resistance as refl ected in Manning's n or Darcy-Weisbach friction factor (ff) that are much higher than values for channel reaches with gradient <1% (Jarrett, 1984;Bathurst, 1985Bathurst, , 1993.Steep mountain channels are divided into cascad...
Detailed hydraulic measurements were made in nine step-pool, fi ve cascade and one plane-bed reach in Fraser Experimental Forest, Colorado to better understand at-a-station hydraulic geometry (AHG) relations in these channel types. Average values for AHG exponents, m (0·49), f (0·39), and b (0·16), were well within the range found by other researchers working in steep gradient channels. A principal component analysis (PCA) was used to compare the combined variations in all three exponents against fi ve potential control variables: wood, D 84 , grain-size distribution (σ), coeffi cient of variation of pool volume, average roughness-area (projected wetted area) and bed gradient. The gradient and average roughness-area were found to be signifi cantly related to the PCA axis scores, indicating that both driving and resisting forces infl uence the rates of change of velocity, depth and width with discharge. Further analysis of the exponents showed that reaches with m > b + f are most likely dominated by grain resistance and reaches below this value (m < b + f) are dominated by form resistance. Copyright © 2010 John Wiley & Sons, Ltd.KEYWORDS: at-a-station hydraulic geometry (AHG); hydraulic measurements; principal component analysis (PCA); channels At-a-station Hydraulic Geometry and Flow ResistanceAt-a-station hydraulic geometry (AHG) characterizes how changes in discharge affect specifi c hydraulic variables such as width, depth, velocity and friction. Leopold and Maddock (1953) fi rst coined the term 'hydraulic geometry' to describe systematic changes both downstream and at a cross-section for each of the above hydraulic variables. They proposed three power relations to describe how width (w = aQ b ), depth (d = cQ f ) and velocity (v = kQ m ) vary with discharge both downstream and at a given cross-section in a channel, where Q is discharge; w is water-surface width, d is mean depth; and v is velocity. These power relations are bound by the continuity equation (Q = wdv), so that the coeffi cients a, c, and k have a product equal to one and the exponents b, f, and m sum to one. Leopold and Maddock (1953) found that the rates of change of width, depth and velocity with discharge were related to the shape of the channel, the slope of the watersurface and the roughness of the wetted perimeter. They also found the sediment load to be an important control on the rates of change of both velocity and depth (Leopold and Maddock, 1953).Few studies have reported AHG values for steep mountain channels (Lee and Ferguson, 2002;Reid, 2005;Comiti et al., 2007). A better understanding of at-a-station changes in each of the above hydraulic variables can improve our understanding of the sources and magnitude of hydraulic roughness in these channels, which tend to have values of fl ow resistance as refl ected in Manning's n or Darcy-Weisbach friction factor (ff) that are much higher than values for channel reaches with gradient <1% (Jarrett, 1984;Bathurst, 1985Bathurst, , 1993.Steep mountain channels are divided into cascad...
Resistance to flow at low to moderate stream discharge was examined in five small (12-77 km 2 drainage area) tributaries of Chilliwack River, British Columbia, more than half of which exhibit planar bed morphology. The resulting data set is composed of eight to 12 individual estimates of the total resistance to flow at 61 cross sections located in 13 separate reaches of five tributaries to the main river. This new data set includes 625 individual estimates of resistance to flow at low to moderate river stage. Resistance to flow in these conditions is high, highly variable and strongly dependent on stage. The Darcy-Weisbach resistance factor (ff) varies over six orders of magnitude (0·29-12 700) and Manning's n varies over three orders of magnitude (0·047-7·95). Despite this extreme range, both power equations at the individual cross sections and Keulegan equations for reach-averaged values describe the hydraulic relations well. Roughness is divided into grain and form (considered as all non-grain sources) components. Form roughness is the dominant component, account-ing for about 90% of the total roughness of the system (i.e., form roughness is on average 8.6 times as great as grain roughness). Of the various quantitative and qualitative formroughness indicators observed, only the sorting coefficient (σ σ σ σ σ = = = = = D 84 /D 50 ) correlates well with form roughness.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.
hi@scite.ai
10624 S. Eastern Ave., Ste. A-614
Henderson, NV 89052, USA
Copyright © 2024 scite LLC. All rights reserved.
Made with 💙 for researchers
Part of the Research Solutions Family.