気液系界面撹乱に関する理論的考察--Brianの線型安定解析の応用ならびに非定常Marangoni対流の数値解析
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By means of both linear-stability and non-linear numerical analyses, theoretical investigation was made of the initiation and growth of interfacial turbulence induced by Marangoni effect during gas-liquid mass transfer. The results were compared with previously reported results of mass transfer experiments in a liquid jet column and a wetted wall column.<BR>It was revealed that the stability limit of liquid layer against Marangoni effect during desorption of surface-active solute can be estimated correctly by application of the result of linear stability analysis, earlier reported by Brian, in which the stabilizing effect of the adsorption layer of the desorbing surface-active solute itself was taken into consideration. Although the time at which enhancement of mass transfer rate can be first detected was longer than the time predicted by linear stability analysis for the initiation of convection, the order of magnitude of this delay time was in accord with the result of the numerical analysis of unsteady, two-dimensional diffusion equation and Navier-Stokes equations.<BR>Numerical analysis clarified further details in : <BR>1) flow pattern and concentration profiles in liquid phase;<BR>2) relationship between liquid-phase mass transfer coefficient <I>k</I><I><SUB>L</SUB></I> and elapsed time;<BR>3) effect of gas-phase mass transfer rate on the intensity of convection and on <I>k</I><I><SUB>L</SUB></I>Agreement between calculated values of <I>k</I><I><SUB>L</SUB></I> and those obtained by previous experiments was fairly good.
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