Abstract
In this study, analytical and Artificial Neural Network (ANN) model were used for determine the discharge coefficient of Ogee Spillways. For this aim, discharge coefficients of 11 different heads were calculated by using a test flume having 7.5 cm width, 15 cm depth and 5 m length, in the laboratory. Discharge coefficients were also computed by the formula for the same heads measured in the laboratory to investigate the accuracy of experimental setup. An ANN model was set by using the experimental results in order to estimate the discharge coefficient. Then, the performance of the ANN model was investigated. As the result, the coefficient of determination between ANN model and experimental setup is found R 2 = 0.98. ANN model is show a good consistency with experimental results.
Highlights
Spillways are used to hold water at a certain level in reservoir besides to store water for different aims, such as energy, irrigation, flood control, etc
Where: f1 is the activation function for the hidden layer, Iik is the ith input for the kth sample point, Ojk is the output of jth node of the hidden layer, Wij and Wj are the weights that control the strength of connections between layers, bj and b are the biases that are used to adjust the mean value for the hidden layer and the output layer, respectively [11]
Discharge coefficients were calculated by Eq 2 using the water heads
Summary
Spillways are used to hold water at a certain level in reservoir besides to store water for different aims, such as energy, irrigation, flood control, etc. Ogee-shaped spillways let excessive water in reservoir pass to downstream. The discharge over the spillway can be calculated by Eq 2. Q (m3/s) is the discharge, C is the discharge coefficient, L (m) is the length of the crest and H (m) is the head over the crest. Spillways are rarely operated with their design head since the design head corresponds to very large return periods having relatively small risks. The discharge coefficient for an existing total operated head should be determined by the Fig. 2 [2]
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