Solute dispersion phenomena in a free and forced convective flow with boundary reactions

The applications of solute dispersion in a free and forced convective flow are highly important in the diversified fields of chemical industries, nuclear power plants, etc. In the present work, the dispersion of tracers between two parallel plates in a combined free and force convective flow under the effect of wall absorption and bulk chemical reaction is explored using Mei's multi-scale homogenization method. A uniform temperature variation is considered along both the plates. The main focus of this study is to investigate the effect of the Grashof number not only on Taylor diffusivity but also on the longitudinal and transverse concentration distribution. The effects of the boundary absorption and bulk chemical reaction in presence of the Grashof number are analyzed. The most interesting fact of this study is that the Taylor dispersivity is equal for both the positive and negative Grashof number i.e. for heating and cooling respectively. Also, the longitudinal concentration of solute reduces when both the process of cooling and heating increases. But the opposite scenario arises in the case of transverse concentration distribution. The results of the present study may be applied to waste management systems in chemical industries.