Mixing in a Closed Room by the Action of Two Fans

[+] Author and Article Information
Seth Lichter, Arie Dagan, William B. Underhill, Hassan Ayanle

Department of Aerospace and Mechanical Engineering, University of Arizona, Tucson, AZ 85721

J. Appl. Mech 57(3), 762-768 (Sep 01, 1990) (7 pages) doi:10.1115/1.2897089 History: Received August 09, 1988; Revised June 29, 1989; Online March 31, 2008


The mixing induced by two constant flow rate fans, which vary periodically in direction, is studied as a function of the period of oscillation of the fans. The three-dimensional equations of motion are integrated to determine the particle trajectories. As first shown by Aref’s work on a two-dimensional map, mixing may be greatly enhanced by unsteadiness. It is found that trajectories can be trapped in a restricted region by surfaces which function similarly to KAM tori in two dimensions. Results are presented for the largest Lyapunov exponent and the correlation dimension as a function of oscillation period. These results may be used to determine the conditions for good mixing.

Copyright © 1990 by The American Society of Mechanical Engineers
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