Analysis of the stationary viscous incompressible flow in a section of a pipe between two moving partitions

An algorithm for the computation for high Reinolds numbers of the two-dimensional axially symmetric viscous flow in an elongated section of a pipe between moving partitions is presented. A characteristic feature of the algorithm is the fact that the singularirties at the points of contact between the immovable walls and moving partitions are analytically taken into account. Numerical results are presented.