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## The explicit formula for normal water depth in the standard horseshoe cross-section

LI Fengling;WEN Hui;Department of Architecture and Civil Engineering,Huizhou University;
The calculation formula of normal water depth in the standard type horseshoe cross-section presents shortcomings such as complicated formula and cumbersome process. To overcome this,here we mathematically transform the fundamental equations of uniform flow in the standard type horseshoe cross-section tunnels. By determining the range of the formula according to the hydraulic tunnel design specification and engineering application,we obtained a simple and feasible calculation formula for normal water depth in the standard type horseshoe cross-section tunnels based on the principle of optimization. Results showed that the maximum relative error of normal water depth was 0. 585% in the utility range,and the relative error over 95% of the whole range was less than 0. 20%. The proposed formula satisfies the needs of engineering practice due to its high accuracy and simple form.
【Fund】： 惠州学院引进教授、博士科研启动基金(C510.0211);; 惠州学院重点培育学科项目(ZDPYXK1404)
【CateGory Index】： TV135
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