Wake Field Flow of a Sphere Falling in a Finite Duct
American Journal of Modern Physics
Volume 2, Issue 3, May 2013, Pages: 98-103
Received: Feb. 18, 2013;
Published: May 2, 2013
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J. Markiewicz, Department of Physics, DePaul University, Chicago, Illinois, U.S.A.
W. R. Matson, Department of Physics, DePaul University, Chicago, Illinois, U.S.A.
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We report on a simple study involving a single non-Brownian sphere settling under the influence of gravity in a quiescent viscous fluid housed in a finite square duct. Spheres are shown to achieve terminal velocity in a fraction of the time predicted by infinite fluid dynamics. Terminal velocities agree well with right cylinder equations for spheres with diame-ter-to-width ratios less than 0.45. The finite chamber length results a two-phase flow and interesting wake field dynamics for spheres with diameter-to-width ratios greater than 0.255.
Finite Square Duct; Wake Field Flow; Terminal Velocity
To cite this article
W. R. Matson,
Wake Field Flow of a Sphere Falling in a Finite Duct, American Journal of Modern Physics.
Vol. 2, No. 3,
2013, pp. 98-103.
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