Ya.L.Klimik
Motion og rigid disk in viscous fluid along a rigid wall

Applied hydromechanics, Vol. 6 (78) ¹ 4, (2004) p.24-33
This paper is concerned with mixed boundary-value problem for Stokes flow in filled by viscous fluid halfspace induced by rigid disk's motion in it in plane, which is parallel to the halfspace's wall. Based on the method of eigen-vector-functions and using some auxiliary techniques of dual integral equations theory the problem is reduced to two Fredgolm equations of second kind and algebraic equations for unknown constants. The behavior of the velocity vector components and stresses in the disk's plane, the main vector and the main torque of the resistance forces to the disk's motion and pressure are investigated. The analysis of obtained results is carried out.
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TEXT LANGUAGE: Ukrainian