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Flow Cessation of Viscoplastic Fluids in Poiseuille Flows

机译:Poiseuille流动中粘塑性流体的流动停止

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Viscoplastic fluids exhibit both viscous and plastic behaviour having a yield stress. The Bingham model is the most famous viscoplastic model, which describes the behaviour of materials with a yield stress. The cessation of a pressure-driven Poiseuille flow of a Bingham plastic is studied to deduce finite stopping times unlike the infinite times taken for Newtonian fluids. The numerical solution employs finite elements in space and a fully implicit scheme in time. The numerical calculations confirm previous theoretical findings that a fluid with nonzero yield stress will stop after a finite time which is called stopping time. The decay of the volumetric flow rate per unit area, which is exponential in the zero yield-stress case, is accelerated and eventually becomes linear as the yield stress is increased.
机译:粘塑性流体表现出具有屈服应力的粘性和塑性行为。 Bingham模型是最著名的粘塑性模型,它描述了具有屈服应力的材料的行为。研究了宾汉塑料的压力驱动泊松流的停止,以推导出有限的停止时间,这与牛顿流体所花费的无限时间不同。数值解采用空间中的有限元和时间上的完全隐式方案。数值计算证实了先前的理论发现,即具有非零屈服应力的流体将在有限的时间(称为停止时间)后停止。在屈服应力为零的情况下,单位面积体积流速的衰减加速,并随着屈服应力的增加而最终变为线性。

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