23 Result(s)
within
Mritunjay Kumar Singh
English
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Article
Pollutant dispersion with an intermediate source in a semi-infinite aquifer
Groundwater pollution is a one of the major problems of our environment caused by various sources such as industries, pesticides, fertilizers, and mining activities. Convection–dispersion equation (CDE) is emp...
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Article
Multispecies solute dispersion with variable porosity in semi-infinite saturated porous media
Multispecies solute dispersion with sequential first-order decay often occurs in contaminated geological formation with radioactive wastes and their biodegradation products. As a result, analytical result is a...
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Article
Advances in analytical solutions for time-dependent solute transport model
This study adopts generalized dispersion theory in one-dimensional advection–dispersion equation (ADE), where time-dependent dispersion and velocity are considered. The generalized dispersion theory allows mec...
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Article
Influence of fluid viscosity and flow transition over non-linear filtration through porous media
The present study investigates two important though relatively unexplored aspects of non-linear filtration through porous media. The first aspect is the influence of viscosity variation over the coefficients o...
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Article
Mathematical modelling to establish the influence of pesticides on groundwater contamination
Groundwater contamination due to pesticides used during cultivation was modelled mathematically, assuming that both the soil and the aquifer were initially contaminant free and the source of contamination was ...
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Article
Analysis of 1-D pollutant transport in semi-infinite groundwater reservoir
This study deals with the 1-D pollutant transport model in homogeneous and heterogeneous semi-infinite groundwater reservoir. The pollutant concentration is considered in liquid as well as in solid phases. The...
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Article
Groundwater contamination in mega cities with finite sources
Groundwater contamination due to multiple sources occurring in mega cities was modelled. One constant source contamination was considered at the source boundary, whereas other sources may join in between at va...
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Article
Modelling of Flow Through Porous Media Over the Complete Flow Regime
A mathematical model is developed based on the empirical power law equation for post-laminar flow through porous media. Hydraulic conductivity and the critical Reynolds number are used as boundary conditions. ...
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Article
On a conjecture concerning Kloosterman polynomials
In this paper, we rephrase the conjecture on Kloosterman polynomials over finite fields given by Hollmann and **ang in [9]. More precisely, an alternate form of the conjecture based on permutation polynomials is ...
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Article
Solute transport in a semi-infinite homogeneous aquifer with a fixed point source concentration
This study derives an analytical solution of the advection–dispersion (AD) equation commonly used to describe the transport of pollutants in a semi-infinite homogeneous aquifer. When an extra constant source t...
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Article
Solute transport modelling with the variable temporally dependent boundary
In this present study, analytical and numerical solutions are obtained for solute transport modelling in homogeneous semi-infinite porous medium. The dispersion coefficient is assumed to be initial dispersion ...
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Article
A study on the Wilkins and Forchheimer equations used in coarse granular media flow
Complexity of the pore geometry and the random nature of flow velocity make it difficult to predict and represent post laminar flow through porous media. Present study experimentally investigates the applicabi...
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Chapter and Conference Paper
Solution to Advection–Dispersion Equation for the Heterogeneous Medium Using Duhamel’s Principle
This work dealt with advection–dispersion problem in heterogeneous medium while the medium is initially considered to be polluted as a functional combination of source term and zero-order production term with ...
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Chapter and Conference Paper
Mathematical Modeling of One-Dimensional Advection Dispersion Equation in Groundwater Contamination Using Different Velocity and Dispersion for Different Zones
Groundwater contamination problem is modeled using advection dispersion equation with different phase velocity and dispersion. This type of flow problem can be occurred or visualized depending upon the geometr...
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Chapter and Conference Paper
Three-Dimensional Solute Transport Problems in an Aquifer: Numerical Approaches
The solution of solute transport problem in an aquifer with suitable boundary conditions has been dealt by various analytical methods in the past. But, the analytical approach becomes more difficult to apply w...
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Chapter and Conference Paper
Two-Dimensional Solute Transports with Periodic Input Source in Semi-infinite Aquifer
The present study deals with two-dimensional solute transport equation with time-dependent source in homogeneous semi-infinite aquifer. Linear isotherm is taken into consideration due to interaction between so...
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Chapter and Conference Paper
Solute Dispersion Along Unsteady Groundwater Flow in a Semi-infinite Homogeneous Aquifer Using Linguistic Hedge by Mamdani Model
In the present study, the analytical solutions for dispersion of contaminants along unsteady flow of groundwater through semi-infinite aquifer are represented by fuzzy linguistic hedges. The sources of polluti...
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Article
Solution of one-dimensional space- and time-fractional advection–dispersion equation by homotopy perturbation method
This study develops solution of one-dimensional space–time fractional advection–dispersion equation (FADE). Various forms of dispersion and velocity profiles (i.e. space dependent and both space–time dependent...
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Article
Scenario-Based Validation of Moderate Resolution DEMs Freely Available for Complex Himalayan Terrain
Accuracy of the Digital Elevation Model (DEM) affects the accuracy of various geoscience and environmental modelling results. This study evaluates accuracies of the Advanced Spaceborne Thermal Emission and Re...
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Chapter and Conference Paper
Monitoring the Status of Siachen Glacier Using Multi Temporal Remote Sensing Approach
The temporal monitoring of any glacier is important for observing the effects of changing climate. This study reports the decadal changes in Siachen glacier. Analysis was carried out on decadal basis by proces...
