THE VELOCITY OF THE LOCK WATER LEVEL AT A LINEAR VARIATION OF THE FLOW IN THE FILLING (EMPTYING) CONDUIT

The paper presents a mathematical model of the filling (emptying) of the lock chamber in a transition period, when the valves are opening or shutting. In this situation, we can consider a linear variation of the flow. We shall study the flow of the viscous fluid, no compressible, in an unsteady regime, through the lock camber filling (emptying) conduits with the help of the general equation of Navier-Stokes and the equation of continuity. To solve these equations we used the potential vector, which has a physical significance: the circulation of the potential vector on the perimeter of the conduit section is equal to the flow through this conduit. By approximation we established a hyperbolic variation of the velocity of the liquid level to an asymptote.