Heat Transfer by Laminar Free-Convection on a Vertical Flat Plate Accompanied by Vapor Transfer

Abstract

The problem of laminar free convection, which is accompanied by vapor transfer, on a flat plate placed vertically in humid air is treated on some assumptions. By means of the successive method, the equations of motion, energy and diffusion are solved. As practical examples, calculation is carried out under the conditions where the Prandtl number is a constant, 0.72, and the Schmidt number takes three respective values, 0.5, 0.6 and 0.72. Both θ'(0) and M'(0) are approximately proportional to [numerical formula]. Where θ'(0) and M'(0) are gradients of temperature and partia1 density of vapor at the wall, respectively, C_w the density of humid air at the wall, C_vs, C_vw the partial densities of vapor at an infinite distance and at the wall, respectively.