Analytical solution of the one-dimensional contaminant transport equation in groundwater with time-varying boundary conditions

被引：7
|
作者：
Purkayastha S. [1 ]
Kumar B. [2 ]
机构：
[1] Department of Civil Engineering, Assam Don Bosco University, Guwahati
[2] Department of Civil Engineering, Indian Institute of Technology Guwahati, Guwahati
来源：
ISH Journal of Hydraulic Engineering | 2020年 / 26卷 / 01期
关键词：
Advection–diffusion equation; contaminant; eigenfunction expansion; groundwater; Legendre linear equation; time-varying boundary condition;
D O I：
10.1080/09715010.2018.1453879
中图分类号：
学科分类号：
摘要：
In this paper, an analytical solution for the one-dimensional advection–diffusion equation for studying the contaminant transport in groundwater is presented. The solution is obtained for spatially varying diffusivity and velocity terms along with time-varying boundary conditions. The differential equation considered in the paper is in the form of Legendre Linear Differential Equation which is reduced to a linear differential equation having constant coefficients by a suitable transformation. The final solution for the differential equation in the transformed domain is obtained by the method of Eigenfunction expansions. The solution is tested by considering a test problem. © 2018, © 2018 Indian Society for Hydraulics.
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页码：78 / 83
页数：5
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