STEADY STOKES-FLOW IN A RECTANGULAR CAVITY

This paper addresses a general analytical method for investigating the two-dimensional creeping flow field set up in a rectangular cavity by velocities applied along its top and bottom walls in any arbitrary ma nner. The main goal is to prove the advantages of that approach when s tudying a local stream function behaviour near the corner points. The values of amplitudes of the so-called corner eddies were established b ased on the solution of the finite system of linear algebraic equation s. The method is illustrated by several numerical examples. The rapidi ty of convergence and the accuracy of results are investigated. The st reamline patterns for some typical distribution of velocities are show n graphically.