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首页> 外文期刊>Applied and Computational Mechanics >Boundary effects of a nonconcentric semipermeable sphere using Happel and Kuwabara cell models
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Boundary effects of a nonconcentric semipermeable sphere using Happel and Kuwabara cell models

机译:使用HAPPEL和Kuwabara细胞模型的非康复半透明球体的边界效应

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The effect of a closed boundary on the hydrodynamic drag of a nonconcentric semipermeable sphere in an incompressible viscous fluid is investigated. Darcy’s law holds in the permeable region and Stokes flow used inside the spherical cavity. Suitable boundary conditions are used on the surface of a semipermeable sphere and spherical cavity. Two spherical coordinate systems are used to solve the problem. By superposition principle, a general solution is constructed from the solutions based on the semipermeable sphere and spherical cavity. Numerical results for the hydrodynamic drag force exerted on the particle is obtained with good convergence for various values of the relative distance between the centers of the inner sphere and spherical cavity, permeability parameter and the separation parameter. The numerical values of the hydrodynamic drag force generalize the results obtained for an eccentric solid sphere.
机译:研究了封闭边界对不可压缩粘性流体中的非沉重半透面球的流体动力阻力的影响。 达西的法律持有在球形腔内的渗透区域和斯托克斯流动。 合适的边界条件用于半透光球和球形腔的表面上。 两个球形坐标系用于解决问题。 通过叠加原理,通过基于半透光球和球形腔的溶液构造一般的解决方案。 施加在颗粒上的流体动力牵引力的数值结果是在内球和球形腔的中心之间的相对距离的各种值的良好收敛而获得,以及渗透性参数和分离参数。 流体动力阻力力的数值概括了偏心固体球的结果。

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