Transport to a Chemically Active Thin Liquid Film Over a Spinning Disk

[+] Author and Article Information
M. M. Rahman

Department of Mechanical Engineering, University of South Florida, Tampa, FL 33620-5350

J. Energy Resour. Technol 120(4), 293-298 (Dec 01, 1998) (6 pages) doi:10.1115/1.2795050 History: Received November 20, 1997; Revised August 10, 1998; Online November 06, 2007


An analytical solution for the process of mass transfer from a spinning disk to a chemically active thin liquid film flowing over the disk is presented. By analogy, the results are also applicable to heat transfer to the film with temperature-dependent heat generation. The process is modeled by establishing equations for the conservation of mass, momentum, and species concentration, and solving them analytically. The partial differential equation for species concentration is solved using the separation of variables technique along with the application of the Duhamel’s theorem. Tables for eigenvalues and eigenfunctions are presented for a number of reaction rate constants. A parametric study was performed using Reynolds number, Ekman number, and chemical reaction rate as parameters. It was found that Sherwood number increases with Reynolds number (flow rate) as well as inverse of Ekman number (rate of rotation). These fundamental results will be useful to design advanced energy transport processes for a low-gravity space environment.

Copyright © 1998 by The American Society of Mechanical Engineers
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