Mass Transfer From a Rotating Disk to a Bingham Fluid

[+] Author and Article Information
A. A. Rashaida

Department of Mechanical Engineering,  University of Saskatchewan, 57 Campus Drive, Saskatoon, SK S7N 5A9, Canadaali̱rashaida@hotmail.com

D. J. Bergstrom

Department of Mechanical Engineering,  University of Saskatchewan, 57 Campus Drive, Saskatoon, SK S7N 5A9, Canada

R. J. Sumner

Department of Chemical Engineering,  University of Saskatchewan, Research Annex, 57 Campus Drive, Saskatoon, SK S7N 5A9, Canada

J. Appl. Mech 73(1), 108-111 (Jun 14, 2005) (4 pages) doi:10.1115/1.2065607 History: Received June 11, 2005; Revised June 14, 2005

In the present investigation, an analytical numerical solution is presented for the mass transfer from a rotating disk to a Bingham fluid for the case of laminar boundary layer flow. The analytical approach includes the coupled effects of steady disk rotation and non-Newtonian fluid properties on the mass transfer rate. A dimensionless expression for the wall mass transfer rate based on the Sherwood number, Sh, is obtained in terms of the system parameters (Reynolds number, Rep, and Schmidt number, Scp) which depend on the dimensionless yield stress or Bingham number, By. The analytical relation indicates that an increase in By (up to the limit By1) leads to a slight increase in the wall mass transfer rate, and thereafter, for By>1, the mass transfer rate is reduced.

Copyright © 2006 by American Society of Mechanical Engineers
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Grahic Jump Location
Figure 1

Effect of Bingham flow behavior on local wall mass transfer rate for a rotating disk



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