离心力场作用下三维流动和传热的场协同理论探讨

SYNERGY ANALYSIS OF THREE DIMENSIONAL FLUID FLOW AND HEAT TRANSFER WITH CENTROFUGAL EFFECT

通过对能量方程进行体积分得到了三维流场中场协同理论的表达式。该式不仅含速度矢量与温度梯度矢量的点积项,还含有速度矢量与压力梯度矢量的点积项。在此基础上讨论了速度场、压力场、温度场之间的协同关系,探讨了通过政变边界条件调节诸场形态,实现传热强化的方法。并通过三个盘腔算例,对此方法进行了验证。

In this article the mathematical expression of field synergy theory for three dimensional flow with centrifugal force was derived by integrating the energy equation in the concerned volume. This expression not only contains the term of dot product of velocity vector and temperature gradient, but also contains the dot product of velocity vector and the pressure gradient. On this basis, for heat transfer augment and control, the effort was directed to understand the synergic relation among velocity field, pressure field and temperature field, and to discover the way of adjusting the pattern of these fields by the means of changing the boundary condition. This way was verified by examining three examples of disk cavity flow.