Sergey N. Aristov, Eugeny Yu. Prosviryakov, “Stokes waves in vortical fluid”, Nelin. Dinam., 2014, Volume 10, Number 3,Pages <nobr>309

This article is cited in 8 papers

Stokes waves in vortical fluid

Sergey N. Aristov^a, Eugeny Yu. Prosviryakov^bc

^a Institute of Continuous Media Mechanics UB RAS, Ak. Koroleva str. 1, Perm, 614013, Russia
^b Kazan National Research Technical University named after A. N. Tupolev, Karl Marx str. 10, Kazan, 420111, Russia
^c Institute of Engineering Science UB RAS, Komsomolskaya str. 34, Ekaterinburg, 620049, Russia

Abstract: The solution of the second task of Stokes for the swirled knitting of incompressible liquid is provided. The found solutions represent the elliptic polarized cross waves. The solution of the second Stokes problem for the swirl flow of a viscous incompressible fluid is presented.

Keywords: second Stokes problem, layered flows, vortical fluid, exact solution, wave amplification, elliptical polarization.

UDC: 532.51

MSC: 76F02, 76F45, 76M45, 76R05, 76U05

Received: 09.06.2014
Revised: 24.08.2014