Determination of bottom pressure in river flow over an obstacle

Free-surface flow in natural watercourses was investigated using two-dimensional incompressible fluid equations written for a longitudinal vertical plane. Within the framework of similarity theory, expanding the unknown variables in power series of given structure reduces the problem to a sequence of ordinary differential equations for which an analytical solution is obtained. The solution reproduces the spatial pattern of the flow over the bottom surface of arbitrary geometry. The results of calculation of the pressure field near an underwater pipeline are presented which can be used in the stability analysis of pipeline-bottom soil systems in the case of scouring.