Nav Kumar Mahato

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Verified

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• M.Sc., M.Phil., Ph.D.
• Professor (Associate) at Adamas University

Pollutant dispersion in a porous medium can be modelled mathematically to forecast its concentration distribution profile. The governing equation of pollutant transport is modelled as a partial differential equation. Effects of sorption, zero-order production rate and first-order decay rate on pollutant transport are incorporated in the present stu...

A mathematical model is developed to describe the conservative solute migration under sorption in a groundwater reservoir. For the complexity of the aquifer, it is assumed as heterogeneous and semi-infinite. Dispersion is considered as a varying power of seepage velocity. For the sake of real scenario of the aquifer, the seepage velocity, first-ord...

Solute dispersion in a porous formation is Mathematically expressed by partial differential equation well known as advection-dispersion equation (ADE). The present study deals with the solute transport governing equation in a semi-infinite homogeneous porous formation under linear sorption. A constant background solute concentration is assumed init...

Contaminant transport in a soil formation is described by advection dispersion equation. In this study, a horizontal and transversal contaminant transport along transient groundwater flow under non-linear sorption is solved numerically to examine the contaminant distribution profiles in finite soil media. The horizontal and transversal pore water s...

The present work deals with numerical solution of advection-dispersion equation (ADE) to find solute distribution profiles along and against groundwater flow in two-dimensional finite homogeneous porous medium. Initially, the transport medium is supposed as non-solute free. A constant concentration is assigned throughout the medium at the initial t...

ArsR-SmtB family proteins display the greatest diversity, among other bacterial metal-binding transcriptional regulators with regard to the variety of metal ions that they can sense. In presence of increased levels of toxic heavy metals, these proteins dissociate from their cognate DNA, upon direct binding of metal ions to the appropriate sites, de...

Two-dimensional solute dispersion in saturated porous media is discussed. The model is solved analytically, using the Laplace Transform Technique (LTT) and numerically with the help of Explicit Finite Difference (EFD) method. We assume that the aquifer is homogeneous, anisotropic and semi-infinite in nature. Initially the aquifer is not supposed to...

An analytical solution of a two-dimensional advection diffusion equation with time dependent coefficients is obtained by using Laplace Integral Transformation Technique. The horizontal medium of solute transport is considered of semi-infinite extent along both the longitudinal and lateral directions. The input concentration is assumed at an interme...

A one-dimensional advective-dispersive equation is solved analytically to predict patterns of contaminant concentration distribution in a finite or semi-infinite homogeneous aquifer. The dispersion of solute along and against transient groundwater flow is considered. Initially, the aquifer is assumed to be not clean, which means that some initial b...

An analytical approach to two-dimensional non-reactive solute transport in finite homogeneous porous formations is compared with the numerical result obtained from two-level explicit finite difference method. The analytical solution is derived with time-dependent point-source contamination expressed as logistic sigmoid functions for three different...

A one-dimensional advective-dispersive equation is analytically solved to predict patterns of contaminant concentration distribution in a homogeneous and finite aquifer. The dispersion of solute along and against transient groundwater flow is considered. Initially the aquifer is assumed to be not clean, which means that some initial background conc...

Analytical solution is obtained to describe the nature of concentration of solute, transported in saturated porous media. The aquifer is assumed to be homogeneous and finite in nature in which groundwater flow is considered unsteady. Initially the aquifer is not supposed to be solute free which means that aquifer is not clean i.e. some initial back...

Analytical solution is obtained to predict the con-taminant concentration with presence and ab-sence of pollution source in finite aquifer subject to constant point source concentration. A longi-tudinal dispersion along unsteady groundwater flow in homogeneous and finite aquifer is con-sidered which is initially solute free that is, aq-uifer is sup...

Comparative Study of Analytical Solutions for Time-Dependent Solute Transport along Unsteady Groundwater Flow in Semi-infinite Aquifer Mritunjay Kumar Singh*, Nav Kumar Mahato, Priyanka Kumari Department of Applied Mathematics, Indian School of Mines, Dhanbad, India E-mail: *drmks29@rediffmail.com Received June 29, 2011; revised August 6, 2011; acc...

An analytical solution is obtained to predict the contaminant concentration along unsteady groundwater flow in semi-infinite aquifer. Initially, the aquifer is not supposed to be solute free, i.e., aquifer is not clean. A time-dependent source concentration is considered at the origin of the aquifer and at the other end of the aquifer, it is suppos...