Abstract
The closed water bodies, such as reservoirs and lakes, can be polluted by an inflow of pollutants in the upstream as well as a stratification caused by seasonal natural phenomena. The vertical circulation particularly plays an important role in reducing environmental pollutants. The factors of the vertical circulation are the temperature, wind, thermal diffusivity, sunlight, and so on. The wind is the most significant factor among all possible factors causing the vertical circulation. Thus, it is necessary to describe the validation and application of a three-dimensional numerical model of wind-driven circulation in a thermally stratified flow. In this study, the numerical model is conducted in three steps to calculate the velocity components from the momentum equations inx- andy-directions, the elevations from the free surface equation, and the temperature from the scalar transport equation. The present model was applied to two tests for verification of the numerical accuracy. Numerical results are compared with analytical solutions of the sloshing free surface movement in a rectangular basin and the model is applied to the circulation for the wind-driven flow in a thermal stratification. Consequently, the developed model is validated by two verifications and phenomena of the internal flow.
Highlights
The closed water bodies, such as lakes and reservoirs, are major water sources to provide drinking water, power generation, irrigation for paddy fields, and recreation
Comparisons of the free surface elevations obtained from the analytical solution and numerical model predictions are given in Figure 3 for the t = T/8, T/2, 5T/8, and 2T sec
The wind is considered to be the most significant factor among all possible factors causing the vertical circulation in the closed water bodies, because of the wind-induced circulation significantly affects water quality in the closed water area
Summary
The closed water bodies, such as lakes and reservoirs, are major water sources to provide drinking water, power generation, irrigation for paddy fields, and recreation. The purpose of this paper is to describe thermal circulation and stratification with a three-dimensional numerical model of wind-driven circulation and thermally stratified flow in closed water bodies. Researchers have recognized that the vertical variation of the flow characteristics is very important for environmental problems in the late 1980s and the early 1990s [1], and threedimensional numerical models have been developed with the hydrostatic pressure approximation but without the depth integration [2, 3]. Numerical models of closed water bodies for wind-driven circulation in the thermally stratified flow are developed to calculate in three steps the velocity components from the momentum equations in x-axis and y-axis directions, the free surface elevation, and the scalar transport for the temperature.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
