宽浅式河道冷却水流动和水温分布数学模型

本文研究宽浅式河道冷却水的水力和热力数学模拟问题。对远区流场和温度场进行模拟，从粘性流体的三维运动方程出发，沿垂向进行积分，并考虑河底地形，表面风力对流场和温度场的影响，推导出平面的浅水流动方程和热输移方程以及采用伽辽金有限元法计算的流场和温度场的数学模型．

Mathematical Modelling of Cooling Water Flow and Temperature Disridution in a Wide and Shallow River

This paper deals with the mathematical modelling of hydraulic and hydro- thermal dynamics of cooling water in a wide and shallow river. The mathema- tical formulation of flow and temperature distribution has been deduced from the fundamental equations, taking into account the effect of shears acting from the river bed and wind force on the water surface We have tranformed the three-dimensional flow and thermal transport problem into its two-dimensional counterpart by intergrating the variables throughout the full depths and thus eliminating its vertical dimension in calculation. Galerkin's finite element me- thod is proposed for solving this rather complicated problem.