The analytical solution of one model of the homogeneous liquid current (the case of the nonconstant vertical turbulent exchange coefficient)
"Математика. Компьютер. Образование". Cб. трудов X международной конференции. Под общей редакцией Г.Ю. Ризниченко Ижевск: Научно-издательский центр "Регулярная и хаотическая динамика", 2003. Vol. 2. Pp. 215-226.
The analytical solution of one stationary model of water motion of the wind current in the homogeneous liquid in the closed reservoir (two-dimensional case in the vertical plane) is proposed in this paper. The study suggests that the bottom of the water basin is not flat and the vertical turbulent exchange coefficient is known function of the space variables. The examples of the particular solutions for the concrete values of the vertical turbulent exchange coefficient and the friction coefficient on the surface and on the bottom are presented. These results are simply extended to the case of the two – layered liquid. The solutions were found could be useful as a test in the analysis of the quality of the computational algorithms which are applied for solving problem of the wind current in closed basin water bodies and for the evaluation of the thermocline.