In this paper, a Homotopy-perturbation analysis of a non-linear contaminant flow equation with an initial continuous point source is provided. The equation is characterized by advection, diffusion and adsorption. We assume that the adsorption term is modeled by Freudlich Isotherm. We provide an approximation of this equation using homotopyperturbation transformation and solve the resulting linear equations analytically by homotopy-perturbation method. Graphs are plotted using the solution obtained from the method and the results are presented, discussed and interpreted. The research findings show that the concentration increases with time and decreases as distance increases.

Gangrene involving the whole upper limb is generally uncommon. When seen, it usually affects parts of the upper limb and is usually as a result of mismanagement of fractures by traditional bone setters (TBS). We present the case of a 2 year old girl with gangrene of the upper limb as a result of inadvertent ligation of the axillary vessels. Lack of recognition of the error and delayed presentation to a specialist center contributed to irreversible damage to the limb. Prompt resuscitation, excision of gangrenous limb and postoperative care were indispensable in the excellent outcome achieved.

A semi – analytical study of a time dependent one – dimensional advection – dispersion equation (ADE) with Neumann homogenous boundary conditions for studying contaminants flow in a homogenous porous media is presented. The governing equation which is a partial differential equation incorporates the advection, hydrodynamic dispersion, first order decay and a zero order source effects in the model formulation. The velocity of the flow was considered exponential in nature. The solution was obtained using Eigen function expansion technique after a suitable transformation. The results which investigate the effect change in the parameters on the concentration was discussed and represented graphically. The study revealed that as the zero order source coefficient increases, the contaminant concentration decreases with time.