MODELS IN PHYSICS AND TECHNOLOGY

On a model of wind-induced flow of two layered viscous fluid

L. A. Kompaniets^a, L. V. Gavrilova^b, T. V. Yakubailik<sup>a

a</sup> Institute of computational modeling SB RAS, ICM SB RAS, Akademgorodok, Krasnoyarsk, 660036, Russia
^b Institute of town building, management and regional economics, Siberian Federal University, Svobodniy av. 82, Krasnoyarsk, 660041, Russia

Abstract: Exact solution of the stationary problem of wind-induced flow of two-layered viscous fluid is found for two-dimensional in vertical plane current and for drift current in three-dimensional case. The condition of sliding is set on the bottom of a water body. The condition of nonpassage is set on the lateral surface. Results of some calculations are given in comparison with those obtained using Ekman's model (which does not take into account horizontal viscosity of the layer).

Keywords: viscous fluid, wind-induced flow, Ekman's model.

Received: 28.06.2009

DOI: 10.20537/2076-7633-2009-1-4-381-390