冰盖下层流速度场和温度场的理论探讨

Study of the velocity field and temperature field of laminar flow under ice cover

冰盖下水流慢速流动时,大多数属于层流状态,尤其大体积水体流动时(如水库)更是如此。文章对层流条件下冰盖下输水时的N-S方程和能量方程进行了理论上的探讨,分析了冰盖下的水流速度场和温度场,结果表明,在概化的边界条件下,水流速度场是对称的抛物线分布,水流的温度场与水深的4次方成比例。

The water flow under ice cover is laminar when the flow is slow,especially the flow in large,e.g. the flow in reservoir. The presented discussion is about the Navier-Stokes equation and the energy equation of the laminar flow beneath ice cover. Both the velocity field and the temperature field are analyzed. It is made clear that the velocity distribution is symmetric parabola and the temperature distribution is proportional to the quartic of the flow depth.