• Niranjan C M
• S R Sudheendra

Ground water plays a vital role in the field of agriculture, industry and for drinking purpose. Around 53% of the rural as well as urban population in the developing countries like India depends on groundwater for drinking. Because of the growing demand of water for various purposes resulting in wasteful use and contamination is taking place all over the world. In order to face this challenges it is much required to have proper plan for managing the wastage of water and chemical flow. Contaminants containing different chemicals will pass through different hydrogeological zones as they migrate through the soil to the water table. The water table is the upper surface of the groundwater system. The pore space between soil particles above the water table are occupied by both air and water. Flow in this unsaturated zone is vertically downward, as liquid contaminants or solutions of contaminants and precipitation move under the force of gravity. The solution is obtained for the given mathematical model in a finite length initially solute free domain. The input condition is considered continuous of uniform and of increasing nature both. The solution has been obtained using Laplace transform, moving coordinates and Duhamel’s theorem is used to get the solution in terms of complementary error function.

Advection, dispersion, adsorption, Integral transforms, Fick’s law, Moving coordinates, Duhamel’s theorem

"Analytical Solution of Transport of Pollutants in Two-Dimensional Advection Dispersion Equation with Adsorption", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.8, Issue 8, page no.e7-e17, August-2021, Available :http://www.jetir.org/papers/JETIR2108482.pdf

"Analytical Solution of Transport of Pollutants in Two-Dimensional Advection Dispersion Equation with Adsorption", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.8, Issue 8, page no. ppe7-e17, August-2021, Available at : http://www.jetir.org/papers/JETIR2108482.pdf