The vortex in the branching microchannel enhances the mixing and heat transfer performance. To investigate the vortex intensity quantitatively, a lattice Boltzmann model for incompressible power-law fluid is developed by setting the range of lattice viscosity (0.001 ≤ν≤ 1). The validation of the current model is carried out by modeling the vortex in a T-shaped branching channel and the Poiseuille flow of power-law fluids. Then the vortex intensity in the ψ-shaped microchannel is numerically studied in terms of Reynolds number, branching angle and power-law index. The result indicates that both the recirculation length and height increase with the increase of the Reynolds number. The branching angle has a negative impact on the recirculation length, and it has little effect on the recirculation height. The influence of the power-law index on recirculation length and height depends on the Reynolds number.

中文翻译：

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用格子Boltzmann方法模拟平面ψ形分支微通道中的涡流特性

分支微通道中的涡流增强了混合和传热性能。为了定量研究涡流强度，通过设置晶格粘度（0.001≤ν≤1）。当前模型的验证是通过模拟 T 形分支通道中的涡流和幂律流体的泊肃叶流来进行的。那么涡流强度ψ用雷诺数、分支角和幂律指数对形微通道进行了数值研究。结果表明，再循环长度和高度都随着雷诺数的增加而增加。分支角对再循环长度有负面影响，对再循环高度影响不大。幂律指数对再循环长度和高度的影响取决于雷诺数。