Perturbation Solution of Lock Water Transfer Equation and Optimization of Water Delivery Time

The ship lock is a typical man-made connected device, and its water delivery process satisfies the non-constant turbulent flow equation of the pipe. In order to ensure the safety of the gate, the filling and draining valves are usually closed to a certain degree of opening under a certain remaining head at the end of the lock`s water delivery to reduce the influence of the inertia head and minimize the water delivery time. In this paper, the governing equation is solved by perturbation method, and the perturbation solution of the water level change in the lock chamber is given. Based on the inertia head as the control condition, the residual head and residual opening degree of the valve are deduced with the valve opening and closing mode, the area of the lock chamber, the length and area of the corridor, and the remaining head diagram and remaining of the valve are theoretically given. Comparing the optimal theoretical solution, model test and prototype observation results, we can see that the three are in good agreement, and the optimal theoretical solution is more convenient for practical use.