Optimization of an irrigation in the hydrodynamic seepage theory

The problem of optimization of irrigation is discussed. The extreme cross section area value is determined for an underflooding or draining region in the problem of infiltration inflow onto the free surface of a ground flow. The maximum-capacity perfect drain contour is determined for the case of feeding from the underflooded ground surface. The channel boundary control is developed for viscous fluids. The optimization problems for the flow shape are solved by the method of three schemes: the infiltration over the head horizon, the inflow towards the horizontal perfect drain, the longitudinal displacement flow in the Taylor-Richardson cell.