Mass transfer through laminar boundary layers-7. Further similar solutions to the b-equation for the case B = 0

Abstract

The present paper is concerned with uniform property, laminar boundary-layer flows when no mass passes through the interface. Similar solutions to the velocity equation for this case were found in the literature; these were given to high accura and covered the range of decelerated and moderately accelerated main-streams. The solutions are first expressed in the form adopted in the first papers of the present series, and are then used in evaluating the wall gradient for the b-boundary layer (i.e. the Nusselt number in similar co-ordinates). The series expansions for obtaining this wall gradient when the Prandtl/Schmidt number σ is large, already given in Paper 3(a), have been recalculated to improve their accura. A table of values of the wall gradient covers the range of σ from 0.0001 to 1000; it can readily be calculated in both directions outside this range. Some functions obtained from the wall gradient are plotted and discussed. © 1962.