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The asymptotic form of the laminar boundary-layer mass-transfer rate for large interfacial velocities

Published online by Cambridge University Press:  28 March 2006

Andreas Acrivos
Andreas Acrivos
Affiliation:
Department of Chemical Engineering, University of California, Berkeley
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Abstract

The convective diffusion of matter from a stationary object to a moving fluid stream is distinct from pure heat transfer because of the appearance of a finite interfacial velocity at the solid surface. This velocity is related to the rate of mass transfer by a dimensionless group B in such a way that for −1 < B < 0 the transfer is from the bulk to the surface while for 0 < B < ∞ the transfer is from the surface to the main stream. In this paper, asymptotic solutions to the two-dimensional laminar boundary-layer equations are developed for the case B [Gt ] 1, and for rather general systems. It is shown that in most instances the asymptotic expressions for the rate of mass transfer become accurate when B > 3 and that the transition region between the pure heat-transfer analogy (B ∼ 0) and the B [Gt ] 1 asymptote may be described by a simple graphical interpolation. These results may easily be extended to three-dimensional surfaces of revolution by the usual co-ordinate transformations of boundary-layer theory.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 12 , Issue 3 , March 1962 , pp. 337 - 357
Copyright
© 1962 Cambridge University Press

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