Abstract

Abstract This paper presents a fully coupled heat and mass transfer numerical model describing the migration of a contaminant gas through an engineered clay liner of a sanitary landfill site. The governing system of non-linear partial differential equations are derived from a mechanistic approach where the mass and energy conservation laws are defined for a particular phase into which Darcy’s law and Fick’s law are substituted. The model treats the migration of liquid water, heat, air and contaminant gas separately with independent system variables of capillary potential, temperature, pore air pressure and molar concentration of the contaminant gas. A numerical solution is presented, which is compared against the classical advection–diffusion equation, to highlight the effect of a temperature gradient on the contaminant gas concentration.

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