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在粘性耗散一定的条件下,以热量传递势容耗散取得极值为优化目标,利用变分方法可以导出稳态层流对流换热的场协同方程。该文利用场协同方程,通过Fluent6.0对含有均匀内热源、边界条件与实际搅拌器相近的圆筒内水的对流换热进行数值求解,得到了由多个涡构成的、规则合理的速度场分布。在粘性耗散和圆筒体积一定的条件下,最佳速度场会随着圆筒长径比的不同而发生变化,而且在某些条件下得到的优化流型与工业中搅拌器的常用流型十分相似。这些优化流型对搅拌器的选择和设计具有一定的辅助意义。
Under the conditions of viscous dissipation, the extreme value obtained by dissipating the potential energy in the heat transfer is the optimal target. The variational method can be used to derive the field synergistic equation of the steady-state laminar convection heat transfer. In this paper, the convective heat transfer in a cylinder with a uniform internal heat source and a boundary condition similar to an actual stirrer is numerically solved by Fluent 6.0 using the field synergy equation, and a regular and reasonable velocity Field distribution. In the case of viscous dissipation and constant cylinder volume, the optimum velocity field will vary with the aspect ratio of the cylinder, and the optimized flow pattern obtained under certain conditions is in common use with the agitators commonly used in industry Very similar type. These optimized flow patterns have some auxiliary meaning for the selection and design of the stirrer.