T.A.Dunaeva, A.A.Gourjii, V.V.Meleshko The mixing of viscous fluid in a semicircle at low Reynolds number |
Applied hydromechanics, Vol. 3 (75) ¹ 2, (2001) |
| A two-dimensional Stokes flow due to a periodic motion of a circular and rectilinear boundary in a semicircle is considered. An exact analytical solution for a description of a velocity field is given. It is also studied the peculiarities of the velocity field and their influence on the motion of a surrounding passive fluid in the semicircle. Poincare section, trajectories of motion of passive fluid particles, largest Lyapunov exponent are calculated and analyzed for various regimes and values of boundary velocities, that allow to determine both zones of intensive (chaotic) and weak (regular) mixing of a marked regions of fluid flow in the semicircle. |
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| TEXT LANGUAGE: Russian |