Sustainable irrigation to balance supply of soil water, oxygen, nutrients and agro-chemicals

SP Bhattarai, DJ Midmore, N Su - Biodiversity, biofuels, agroforestry and …, 2011 - Springer
The socio-economic pressure for improvements in irrigation efficiencies is increasing due to
intense competition for water between agricultural, domestic and industrial users as well as …

[HTML][HTML] A quasi-analytical approach to the advection–diffusion–reaction problem, using operator splitting

DP Verrall, WW Read - Applied Mathematical Modelling, 2016 - Elsevier
Solutions of the combined advection–diffusion–reaction (ADR) transport equation are
generally restricted to numerical methods. However, each subprocess, advection, diffusion …

Coordinate mapping of analytical contaminant transport solutions to non-uniform flow fields

JR Craig, T Heidlauf - Advances in water Resources, 2009 - Elsevier
Existing analytical solutions to 2D and 3D contaminant transport problems are limited by the
mathematically convenient assumption of uniform flow. An approximate method is …

Analytical solutions for two-dimensional solute transport with velocity-dependent dispersion.

P Broadbridge, RJ Moitsheki, MP Edwards - 2002 - cabidigitallibrary.org
A form of the solute transport equation is transformed from Cartesian to streamline
coordinates. Symmetry analysis of this equation with a point water source reveals a 5 …

Symmetry solutions for transient solute transport in unsaturated soils with realistic water profile

RJ Moitsheki, P Broadbridge, MP Edwards - Transport in porous media, 2005 - Springer
We examine solutions for solute transport using the convection-dispersion equation (CDE)
during steady evaporation from a water table. It is common, when solving the CDE, to first …

Classification of the group invariant solutions for contaminant transport in saturated soils under radial uniform water flows

MM Potsane, RJ Moitsheki - Advances in Mathematical Physics, 2014 - Wiley Online Library
The transport of chemicals through soils to the groundwater or precipitation at the soils
surfaces leads to degradation of these resources. Serious consequences may be suffered in …

Group invariant solutions for two dimensional solute transport under realistic water flows

RJ Moitsheki, P Broadbridge… - Quaestiones …, 2006 - Taylor & Francis
We consider a form of the solute transport equation in streamline coordinates. Symmetry
analysis of the equation for solute transport with realistic water flows, result in a number of …

[HTML][HTML] A note on separation of variables solutions of generalized nonlinear diffusion equations

J Goard, P Broadbridge - Applied Mathematics Letters, 2019 - Elsevier
In this letter we show how more cases of the generalized nonlinear diffusion equation that
contain separable solutions to those found by Zhang et al.(2002, 2003) via the generalized …

[PDF][PDF] Research Article Classification of the Group Invariant Solutions for Contaminant Transport in Saturated Soils under Radial Uniform Water Flows

MM Potsane, RJ Moitsheki - academia.edu
The transport of chemicals through soils to the groundwater or precipitation at the soils
surfaces leads to degradation of these resources. Serious consequences may be suffered in …

Nonlocal symmetries and classes of exact solutions for a convection-dispersion model

RJ Moitsheki, MM Potsane - Quaestiones Mathematicae, 2015 - Taylor & Francis
In this paper, we consider a form of convection-dispersion equation given in terms of the
stream functions. The governing equation describing movements of contaminants under …