Open AccessSolution of One-Dimensional Contaminant Flow Problem Incorporating the Zero Order Source Parameter by Method of Eigen-Functions Expansion
Author(s) -
O. R. Jimoh,
B.N. Shuaibu
Publication year - 2022
Publication title -
journal of applied science and environmental management
Language(s) - English
Resource type - Journals
eISSN - 2659-1499
pISSN - 2659-1502
DOI - 10.4314/jasem.v25i10.11
Subject(s) - dispersion (optics) , mathematical analysis , exponential function , partial differential equation , transformation (genetics) , advection , flow (mathematics) , mathematics , boundary value problem , porous medium , zero (linguistics) , differential equation , mechanics , physics , porosity , materials science , thermodynamics , chemistry , biochemistry , linguistics , philosophy , optics , composite material , gene
A semi – analytical study of a time dependent one – dimensional advection – dispersion equation (ADE) with Neumann homogenous boundary conditions for studying contaminants flow in a homogenous porous media is presented. The governing equation which is a partial differential equation incorporates the advection, hydrodynamic dispersion, first order decay and a zero order source effects in the model formulation. The velocity of the flow was considered exponential in nature. The solution was obtained using Eigen function expansion technique after a suitable transformation. The results which investigate the effect change in the parameters on the concentration was discussed and represented graphically. The study revealed that as the zero order source coefficient increases, the contaminant concentration decreases with time.