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Wu RM, Lin MH, Lin HY, et al. 3D simulations of hydrodynamic drag forces on two porous spheres moving along their centerline. J Colloid Interface Sci. 2006;301(1):227-35doi: 10.1016/j.jcis.2006.04.049.
Wu, R. M., Lin, M. H., Lin, H. Y., & Hsu, R. Y. (2006). 3D simulations of hydrodynamic drag forces on two porous spheres moving along their centerline. Journal of colloid and interface science, 301(1), 227-35. https://doi.org/10.1016/j.jcis.2006.04.049
Wu, R M, et al. "3D simulations of hydrodynamic drag forces on two porous spheres moving along their centerline." Journal of colloid and interface science vol. 301,1 (2006): 227-35. doi: https://doi.org/10.1016/j.jcis.2006.04.049
Wu RM, Lin MH, Lin HY, Hsu RY. 3D simulations of hydrodynamic drag forces on two porous spheres moving along their centerline. J Colloid Interface Sci. 2006 Sep 01;301(1):227-35. doi: 10.1016/j.jcis.2006.04.049. Epub 2006 Apr 25. PMID: 16730016.
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J Colloid Interface Sci. 2006 Sep 01;301(1):227-35. doi: 10.1016/j.jcis.2006.04.049. Epub 2006 Apr 25.

3D simulations of hydrodynamic drag forces on two porous spheres moving along their centerline.

Journal of colloid and interface science

R M Wu, M H Lin, H Y Lin, R Y Hsu

Affiliations

  1. Department of Chemical and Materials Engineering, Tamkang University, Tamsui, Taipei County, 251 Taiwan. [email protected]

PMID: 16730016 DOI: 10.1016/j.jcis.2006.04.049

Abstract

This paper numerically evaluates the hydrodynamic drag force exerted on two highly porous spheres moving steadily along their centerline through a quiescent Newtonian fluid over a Reynolds number ranging from 0.1 to 40. At creeping-flow limit, the drag forces exerted on both spheres were approximately identical. At higher Reynolds numbers the drag force on the leading sphere (sphere #1) was higher than the following sphere (sphere #2), revealing the shading effects produced by sphere #1 on sphere #2. At dimensionless diameter beta<2 (beta=d(f)/2k(0.5), d(f) and k are sphere diameter and interior permeability, respectively), the spheres can be regarded as "no-spheres" limit. At increasing beta for both spheres, the drag force on sphere #2 was increased because of the more difficult advective flow through its interior, and at the same time the drag was reduced owing to the stronger wake flow produced by the denser sphere #1. The competition between these two effects leads to complicated dependence of drag force on sphere #2 on beta value. These effects were minimal when beta became low.

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