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, , and Schmidt number, ) which depend on the dimensionless yield stress or Bingham number, . The analytical relation indicates that an increase in (up to the limit ) leads to a slight increase in the wall mass transfer rate, and thereafter, for , the mass transfer rate is reduced.
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January 2006
Technical Papers
Mass Transfer From a Rotating Disk to a Bingham Fluid
A. A. Rashaida,
A. A. Rashaida
Department of Mechanical Engineering,
ali̱rashaida@hotmail.com
University of Saskatchewan
, 57 Campus Drive, Saskatoon, SK S7N 5A9, Canada
Search for other works by this author on:
D. J. Bergstrom,
D. J. Bergstrom
Department of Mechanical Engineering,
University of Saskatchewan
, 57 Campus Drive, Saskatoon, SK S7N 5A9, Canada
Search for other works by this author on:
R. J. Sumner
R. J. Sumner
Department of Chemical Engineering,
University of Saskatchewan
, Research Annex, 57 Campus Drive, Saskatoon, SK S7N 5A9, Canada
Search for other works by this author on:
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, CanadaJ. Appl. Mech. Jan 2006, 73(1): 108-111 (4 pages)
Published Online: June 14, 2005
Article history
Received:
June 11, 2005
Revised:
June 14, 2005
Citation
Rashaida, A. A., Bergstrom, D. J., and Sumner, R. J. (June 14, 2005). "Mass Transfer From a Rotating Disk to a Bingham Fluid." ASME. J. Appl. Mech. January 2006; 73(1): 108–111. https://doi.org/10.1115/1.2065607
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