The relationship between the speed and dimensions of the water going in compared with the water leaving is governed by the continuity equation (what flows in must flow out unless there is a leak in th...The relationship between the speed and dimensions of the water going in compared with the water leaving is governed by the continuity equation (what flows in must flow out unless there is a leak in the pipes!): \(Av =\) constant, where \(A\) is the cross-sectional area and \(v\) is the speed of the liquid. \(P\) is the pressure, \(\rho\) is the density of the fluid, \(v\) is the speed of the fluid flow, \(A\) is the cross-sectional area, \(t\) is the time, and \(y\) is the height of the fluid.
