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.

引用

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页码：78 / 83

页数：5

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