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Computation of Stokes flow due to the motion or presence of a particle in a tube

机译:斯托克斯流量的计算是由于管中运动或存在粒子

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The computation of Stokes flow due to the motion or presence of a rigid particle in a fluid-filled tube with arbitrary geometry is discussed with emphasis on the induced upstream to downstream pressure change. It is proposed that expressing the pressure change as an integral over the particle surface involving ( a) the a priori unknown traction, and ( b) the velocity of the pure-fluid pressure-driven flow, simplifies the numerical implementation and ameliorates the effect of domain truncation. Numerical computations are performed based on the integral formulation in conjunction with a boundary-element method for a particle translating and rotating inside a cylindrical tube with a circular cross-section. The numerical results are consistent with previous asymptotic solutions for small particles, and complement available numerical solutions for particular types of motion.
机译:讨论了由于具有任意几何形状的充液管中刚性粒子的运动或存在而导致的斯托克斯流量的计算,重点是从上游到下游的压力变化。提出将压力变化表示为涉及(a)先验未知牵引力和(b)纯流体压力驱动流速度的颗粒表面的积分,简化了数值实现并改善了域截断。在积分公式的基础上,结合边界元法对粒子在具有圆形横截面的圆柱管内平移和旋转进行了数值计算。数值结果与以前的小粒子渐近解一致,并且补充了特定类型运动的可用数值解。

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