Unsteady layered vortical fluid flows


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详细

An exact time-dependent solution of the system of Navier–Stokes equations governing large-scale viscous vortical incompressible flows is derived. The solution generalizes that describing the Couette flow. Two ways of preassigning the boundary conditions at the upper boundary of a fluid layer are considered. These are the time-dependent variation of the velocity value with the conservation of its direction and the variation of the angle at which the velocities parallel to the coordinate axes are directed. It is shown that at certain values of vorticity, viscosity, and the layer thickness the velocities within the layer can be severalfold greater than the given velocity at the boundary.

作者简介

S. Aristov

Institute of Engineering Science

Email: vgen_pros@mail.ru
俄罗斯联邦, ul. Komsomolskaya 34, Ekaterinburg, 620049

E. Prosviryakov

Institute of Engineering Science

编辑信件的主要联系方式.
Email: vgen_pros@mail.ru
俄罗斯联邦, ul. Komsomolskaya 34, Ekaterinburg, 620049

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