Effect of homogeneous and heterogeneous reactions on the solute dispersion in composite porous medium

Abstract

The Taylor dispersion of a solute for composite porous medium between two parallel plates with first-order chemical reaction is studied analytically. The fluids in both the regions are incompressible and the transport properties are assumed to be constant. The results are shown graphically for various values of viscosity ratio, pressure gradient and porous parameter on the effective dispersion coefficient and volumetric flow rate. It is found that for both homogeneous and heterogeneous chemical reactions, the effective dispersion coefficient decreases as porous parameter increases. The validity of the results obtained for composite porous media is verified by comparison with the available porous medium results for one fluid model and good agreement is found. Also two fluid model in the absence of porous matrix is compared with the  available one fluid model results and the values tally very well.

Keywords: Taylor dispersion, immiscible fluids, horizontal channel, porous medium, chemical reaction.