Abstract
The most common bedload transport calculation methods use an equation for the vector direction that is a linear function of the transverse slope. Existing theoretical formulations that account for nonlinear effects when transverse slopes are steep (such as noncohesive stream banks) are not widely used in practice, due largely to the complexity of their implementation. In this analysis, a single equation for the bedload transport rate direction is derived that accounts for the nonlinearity. The equation is cast in the same form as most linear formulations, but with the constant replaced by a function that requires the equation to be solved numerically. Negligible streamwise slopes are assumed, which allows the simplified expression; otherwise, the derivation follows past rigorous theoretical treatments that are valid for transverse slopes up to the angle of repose. A direct comparison is made between linear and nonlinear derivations that highlights the approximations inherent in the linear form. Application of the equation to two different types of past experiments illustrates the degree of error associated with evaluating bedload data involving steep transverse slopes using a traditional linear form for the vector direction.
| Original language | English (US) |
|---|---|
| Article number | 04019028 |
| Journal | Journal of Hydraulic Engineering |
| Volume | 145 |
| Issue number | 8 |
| DOIs | |
| State | Published - Aug 1 2019 |
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ASJC Scopus subject areas
- Civil and Structural Engineering
- Water Science and Technology
- Mechanical Engineering
Cite this
Nonlinear Bedload Transport Trajectory Angle Expressed in a Traditional Form : Derivation and Application. / Waterman, David M.; Garcia, Marcelo Horacio.
In: Journal of Hydraulic Engineering, Vol. 145, No. 8, 04019028, 01.08.2019.Research output: Contribution to journal › Article
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TY - JOUR
T1 - Nonlinear Bedload Transport Trajectory Angle Expressed in a Traditional Form
T2 - Derivation and Application
AU - Waterman, David M.
AU - Garcia, Marcelo Horacio
PY - 2019/8/1
Y1 - 2019/8/1
N2 - The most common bedload transport calculation methods use an equation for the vector direction that is a linear function of the transverse slope. Existing theoretical formulations that account for nonlinear effects when transverse slopes are steep (such as noncohesive stream banks) are not widely used in practice, due largely to the complexity of their implementation. In this analysis, a single equation for the bedload transport rate direction is derived that accounts for the nonlinearity. The equation is cast in the same form as most linear formulations, but with the constant replaced by a function that requires the equation to be solved numerically. Negligible streamwise slopes are assumed, which allows the simplified expression; otherwise, the derivation follows past rigorous theoretical treatments that are valid for transverse slopes up to the angle of repose. A direct comparison is made between linear and nonlinear derivations that highlights the approximations inherent in the linear form. Application of the equation to two different types of past experiments illustrates the degree of error associated with evaluating bedload data involving steep transverse slopes using a traditional linear form for the vector direction.
AB - The most common bedload transport calculation methods use an equation for the vector direction that is a linear function of the transverse slope. Existing theoretical formulations that account for nonlinear effects when transverse slopes are steep (such as noncohesive stream banks) are not widely used in practice, due largely to the complexity of their implementation. In this analysis, a single equation for the bedload transport rate direction is derived that accounts for the nonlinearity. The equation is cast in the same form as most linear formulations, but with the constant replaced by a function that requires the equation to be solved numerically. Negligible streamwise slopes are assumed, which allows the simplified expression; otherwise, the derivation follows past rigorous theoretical treatments that are valid for transverse slopes up to the angle of repose. A direct comparison is made between linear and nonlinear derivations that highlights the approximations inherent in the linear form. Application of the equation to two different types of past experiments illustrates the degree of error associated with evaluating bedload data involving steep transverse slopes using a traditional linear form for the vector direction.
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U2 - 10.1061/(ASCE)HY.1943-7900.0001619
DO - 10.1061/(ASCE)HY.1943-7900.0001619
M3 - Article
AN - SCOPUS:85066927722
VL - 145
JO - Journal of Hydraulic Engineering
JF - Journal of Hydraulic Engineering
SN - 0733-9429
IS - 8
M1 - 04019028
ER -