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Lattice Boltzmann simulations of viscoplastic fluid flows through complex flow channels

机译：复杂流体流过的粘塑性流体的格子Boltzmann模拟

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We present the results of lattice Boltzmann (LB) simulations for the planar-flow of viscoplastic fluids through complex flow channels. In this study, the Bingham and Casson model fluids are covered as viscoplastic fluid. The Papanastasiou (modified Bingham) model and the modified Casson model are employed in our LB simulations. The Bingham number is an essential physical parameter when considering viscoplastic fluid flows and the modified Bingham number is proposed for modified viscoplastic models. When the value of the modified Bingham number agrees with that of the " normal" Bingham number, viscoplastic fluid flows formulated by modified viscoplastic models strictly reproduce the flow behavior of the ideal viscoplastic fluids. LB simulations are extensively performed for viscoplastic fluid flows through complex flow channels with rectangular and circular obstacles. It is shown that the LB method (LBM) allows us to successfully compute the flow behavior of viscoplastic fluids in various complicated-flow channels with rectangular and circular obstacles. For even low Re and high Bn numbers corresponding to plastic-property dominant condition, it is clearly manifested that the viscosity for both the viscoplastic fluids is largely decreased around solid obstacles. Also, it is shown that the viscosity profile is quite different between both the viscoplastic fluids due to the inherent nature of the models. The viscosity of the Bingham fluid sharply drops down close to the plastic viscosity, whereas the viscosity of the Casson fluid does not rapidly fall. From this study, it is demonstrated that the LBM can be also an effective methodology for computing viscoplastic fluid flows through complex channels including circular obstacles.
机译：我们介绍了通过复杂流动通道的粘塑性流体平面流动的格子Boltzmann（LB）模拟结果。在这项研究中，Bingham和Casson模型流体被作为粘塑性流体覆盖。在我们的LB模拟中采用了Papanastasiou（改进的Bingham）模型和改进的Casson模型。当考虑粘塑性流体流动时，宾厄姆数是必不可少的物理参数，并且针对修改过的粘塑性模型提出了修改后的宾汉数。当修改后的Bingham数的值与“正常” Bingham数的值一致时，由修改后的粘塑性模型制定的粘塑性流体流将严格地再现理想的粘塑性流体的流动行为。 LB模拟广泛地用于粘塑性流体流过带有矩形和圆形障碍物的复杂流动通道。结果表明，LB方法（LBM）使我们能够成功地计算粘弹性流体在具有矩形和圆形障碍物的各种复杂流动通道中的流动行为。对于甚至低的Re和高的Bn值（对应于塑性主导条件），显然可以看出，两种粘塑性流体的粘度在固体障碍物周围大大降低。此外，由于模型的固有性质，还表明两种粘塑性流体之间的粘度分布差异很大。 Bingham流体的粘度急剧下降，接近塑性粘度，而Casson流体的粘度并没有迅速下降。通过这项研究，证明了LBM也是一种用于计算通过包括圆形障碍物在内的复杂通道的粘塑性流体流动的有效方法。

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