V.V.Meleshko, V.V.Lyakh Stokes flow in a plane sector |
Applied hydromechanics, Vol. 8 (80) ¹ 1, (2006) |
| Paper deals with two-dimensional creeping flow in a sector cavity caused by a tangential velocity at its curved wall. An analytical method of superposition for the solution of the problem is developed; the accuracy of fulfilling the boundary conditions is investigated. Connection with another analytical method, the method of homogeneous solutions, is established; some results seem to be surprising. For some opening angles of the sector and a uniform velocity at the curved wall the streamlines patterns, the table, and the graphs of other physical distributions are shown. For the semicircular cavity a simple closed-form solution is obtained. |
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| TEXT LANGUAGE: Ukrainian |