The mathematical model of flow around the cylinder with flat plates in the presence of stationary separation areas
Mathematics. Physics. Mechanics
AbstractThe mathematical model of flow describes the potential flow with circulation around the cylinder in the presence of the plates. Solution to the problem of flow around the cylinder in the presence of the shielding surface is obtained for the flow of an incompressible ideal fluid. As part of the numerical-analytical method of modeling the shielding surface is satisfied by a set of point vortices are uniformly distributed over the surface of the plate. The dependence of the maximum velocity on the contour of the location of the plate was obtained. The dependence of the circulation of the steady vortex on the length of the plate, the circulation around the cylinder and the position of the separation area was investigated. Velocity profiles in cross sections perpendicular to the plane of the shield shows the possibility of creating a uniform flow. Pressure distribution along the contour, depending on the values of the circulation around the cylinder in the presence shielding surface and the location of the separation area was obtained.
Keywords:flow; complex potential; circulation, vortex, stationary conditions, stream lines, numerical-analytical method; separation area; Föppl’s vortex.