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The New Jersey Institute of Technology's
Electronic Theses & Dissertations Project

Title: Sidewise force exerted on slowly falling spheres inside a circular cylinder
Author: Greenstein, Gary Mark
View Online: njit-etd1974-018
(vi, 56 pages ~ 2.1 MB pdf)
Department: Department of Chemical Engineering and Chemistry
Degree: Master of Science
Program: Chemical Engineering
Document Type: Thesis
Advisory Committee: Greenstein, Teddy (Committee chair)
Tassios, Dimitrios P. (Committee member)
Huang, Ching-Rong (Committee member)
Date: 1974-09
Keywords: Viscous flow
Boundary value problems
Availability: Unrestricted
Abstract:

Numerical values are provided for the forces that must be applied to a reference sphere to prevent its sidewise motion when two equal-sized spheres settle through a viscous liquid bounded by a cylindrical tube. These values are presented for two independent set of circumstances:

  1. - the spheres are translating but not rotating
  2. - the spheres are rotating but not translating

Forces have been calculated assuming various distances between the sphere centers and with the line of centers at various angles to the horizontal. The results are discussed for the case where the spheres are both translating and rotating and compared to previous theoretical predictions as well as experimental results.


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