ABSTRACT

This study presents a formula for estimating the mean flow velocity of the Nile River, Egypt. The proposed formula is presented in the form of the commonly used Manning equation. The derived relationship can be directly incorporated into numerical models and used by hydraulic professionals. The formula is developed using a large database of field measurements from the Nile River and its canals. Its accuracy is assessed using both collected field and laboratory data. The collected field data were used for testing the prediction performance of several equations, and the predictive skill of Karim’s formula is adapted for the Nile River conditions. Despite the complexity of the water flow of the Nile River, which has been significantly altered by humans, and the river’s small energy slopes and very high relative flow depths, the predictions obtained using the proposed formula are consistent with the measurements. The mean normalized error and root mean square error for the predicted mean velocities of the Nile River are 11.455% and 0.0945 m s⁻¹, respectively.

摘要

这项研究提出了一个公式，用于估算埃及尼罗河的平均流速。提出的公式以常用的曼宁方程的形式给出。导出的关系可以直接合并到数值模型中，并由液压专业人士使用。该公式是使用来自尼罗河及其运河的大量实地测量数据数据库开发的。使用收集的现场和实验室数据评估其准确性。收集的现场数据用于测试几个方程的预测性能，并且Karim公式的预测技巧适用于尼罗河的条件。尽管人为改变了尼罗河水的复杂性，并且尼罗河的能量斜率小且相对水深很大，使用建议的公式获得的预测与测量结果一致。尼罗河预测平均速度的平均归一化误差和均方根误差为11.455％和0.0945 ms^-1。