Department of Biological and Agricultural Engineering

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Browsing Department of Biological and Agricultural Engineering by Subject "hydraulic geometry"

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    Downstream hydraulic geometry relations: 1. Theoretical development
    (American Geophysical Union, 2003-12-04) Singh, Vijay P.; Yang, Chih Ted; Deng, Z. Q.
    In this study, it is hypothesized that (1) the spatial variation of the stream power of a channel for a given discharge is accomplished by the spatial variation in channel form (flow depth and channel width) and hydraulic variables, including energy slope, flow velocity, and friction, and (2) that the change in stream power is distributed among the changes in flow depth, channel width, flow velocity, slope, and friction, depending on the constraints (boundary conditions) the channel has to satisfy. The second hypothesis is a result of the principles of maximum entropy and minimum energy dissipation or its simplified minimum stream power. These two hypotheses lead to four families of downstream hydraulic geometry relations. The conditions under which these families of relations can occur in field are discussed.
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    Downstream hydraulic geometry relations: 2. Calibration and testing
    (American Geophysical Union, 2003-12-04) Singh, Vijay P.; Yang, Chih Ted; Deng, Zhi-Qiang
    Using 456 data sets under bank-full conditions obtained from various sources, the geometric relations, derived in part 1 [ Singh et al., 2003 ], are calibrated and verified using the split sampling approach. The calibration of parameters shows that the change in stream power is not shared equally among hydraulic variables and that the unevenness depends on the boundary conditions to be satisfied by the channel under consideration. The agreement between the observed values of the hydraulic variables and those predicted by the derived relations is close for the verification data set and lends credence to the hypotheses employed in this study.