Approximate solution of the laminar boundary- layer equations with mass transfer.

AIAA Journal ◽  
1968 ◽  
Vol 6 (2) ◽  
pp. 220-225 ◽  
Author(s):  
HOWARD E. BETHEL
Keyword(s):  
Boundary Layer ◽  
Mass Transfer ◽  
Approximate Solution ◽  
Laminar Boundary Layer ◽  
Boundary Layer Equations

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

1962 ◽  
Vol 12 (3) ◽  
pp. 337-357 ◽  
Author(s):  
Andreas Acrivos
Keyword(s):  
Heat Transfer ◽  
Boundary Layer ◽  
Mass Transfer ◽  
Laminar Boundary Layer ◽  
Mass Transfer Rate ◽  
Three Dimensional ◽  
Main Stream ◽  
Boundary Layer Equations ◽  
Asymptotic Expressions ◽  
General Systems

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 groupBin 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 caseB[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 whenB> 3 and that the transition region between the pure heat-transfer analogy (B∼ 0) and theB[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.

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