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
Views 3033 Downloads 124
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.
Follow on us
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.
J. W. Swan & J. F. Brady, "Particle motion between parallel walls: Hydrodynamics and simulation" Phys. Fluids. 22, 103301 (2010)
L. Zovatto & G. Pedrizzetti, "Flow about a circular cylinder between parallel walls" J. Fluid Mech. 440 (2001)
P. Vasseur & R. G. Cox, "The lateral migration of spherical particles sedimenting in a stagnant bounded fluid" J. Fluid Mech. 80 (1977)
T. Bohlin, "On the drag on a rigid sphere moving in a viscous liquid inside a cylindrical tube" Transactions of the Royal Institute of Technology 155 (1960)
W. L. Haberman & R. M. Sayre, "Motion of rigid and fluid spheres in stationary and moving liquids inside cylindrical tubes" David Taylor Model Basin Report #1143, U. S. Department of the Navy (1958)
J. Happel & E. Bart, "The settling of a sphere along the axis of a long square duct at low Reynolds’ number" Applied Scientific Research 29, 1 (1974)
A. Miyamura, S. Iwasaki, & T. Ishii, "Experimental wall correction factors of single solid spheres in triangular and square cylinders, and parallel plates" International Journal of Multiphase Flow 7, 1 (1981)
O. Pitois, C. Fritz, L. Pasol, & M. Vignes-Adler, "Sedimentation of a sphere in a fluid channel" Phys. Fluids 21 103304 (2009)