オゼーン速度場を用いた反映法による低Re数での球群の運動の解析

概要

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The equation of motion for a cluster of solid spheres moving in fluid at low Reynolds numbers is developed under the consideration of hydrodynamic interaction among the spheres. The hydrodynamic forces of the spheres in the equation of motion are estimated using the relative velocities. The relative velocities are derived by applying the usual reflection method for the Stokes flow field to the newly developed reflection method for the Oseen flow field. In order to discuss the effectiveness of the above-described method, experiments for two equal spheres falling freely in quiescent glycerol are carried out. The width of the test tank with a square cross section is 100 times the sphere diameter. The positions of the spheres for time lapse are measured using a stroboscope-camera system. The numerical results show good agreement with the experimental results.
社団法人日本機械学会の論文
1993-07-25