A.A.Gourjii, V.V.Meleshko, T.S.Krasnopolskaya, L.Zannetti, G.J.F.van Heijst, T.P.Konovalyuk
Stirring by two-dimensional periodic flows

Applied hydromechanics, Vol. 10 (82) ¹ 1, (2008) p.10-22
Two-dimensional laminar flow of inviscid fluid generated by periodic (both impulse, and sinusoidal forcing) injection of fluid from a chink (injector) in a flat wall into non-perturbed half-spacebis considered. The advanced mathematical model for periodic flow, which takes into account the equality of fluid volumes both during push-out (source flow) and during push-in (sink flow) flows is suggested. The velocity field of the flow is represented by superposition of the velocity field of potential flow from a chink and the velocity field induced by vortex pair. During an ejection the intensity of vortex pair is estimated by general flow vorticity in the injector channel, while during an injection vortex intensities remains constant. The mathematical model of the flow is tested on an advection problem of a passive impurity in a velocity field of periodic injector. Comparison of numerical and experimantal data testifies an adequacy of the model of injector to real flow in wide enough range of injection velocities.
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TEXT LANGUAGE: Russian