A Regular Perturbation Analysis Of The Non-Linear Contaminant Transport Equation with An Initial And Instantaneous Point Source.

In this research work, we provide a regular perturbation analysis of a non – linear equation arising in contaminant transport. The equation is characterised by advection, diffusion and absorption. Assuming the adsorption term is modelled by a Freundlich isotherm it can be non-linear in concentration and non-differentiable as the concentration approaches zero. We consider the approximation of this equation using a regular perturbation and thereby solving the resulting linear equations analytically

Unsteady flow of a reactive variable viscosity non-Newtonian fluid through a porous saturated medium with asymmetric convective boundary conditions

AbstractThis article examines the thermal effects in an unsteady flow of a pressure driven, reactive, variable viscosity, third-grade fluid through a porous saturated medium with asymmetrical convective boundary conditions. We assume that exothermic chemical reactions take place within the flow system and that the asymmetric convective heat exchange with the ambient at the surfaces follow Newton’s law of cooling. The coupled nonlinear partial differential equations governing the problem are derived and solved numerically using a semi-implicit finite difference scheme. Graphical results are presented and discussed qualitatively and quantitatively with respect to various parameters embedded in the problem