School of Physical Sciences (SPS)

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School of Physical Sciences (SPS)

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Author: search.filters.author.JIYA, M.Subject: search.filters.subject.contaminant

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    INFLUENCE OF OFF-DIAGONAL DISPERSION ON THE CONCENTRATION OF CONTAMINANT IN A TWO-DIMENSIONAL CONTAMINANT FLOW: A SEMI-ANALYTICAL APPROACH
    (Journal of the Nigerian Association of Mathematical Physics, 2018-03-20) JIMOH, OMANANYI RAZAQ; Aiyesimi, Y. M.; JIYA, M.; Bolarin G. A.
    The equation which describes the two-dimensional contaminant flow model is a partial differential equation characterized by advection, dispersion, adsorption, first order decay and zero-order source. In this paper, the off-diagonal dispersion parameter is introduced into the two dimensional contaminant flow model in order to study its effect on the concentration of the contaminant. It is assumed that the adsorption term is modeled by Freudlich isotherm. The parameter expanding method is applied on the equation to obtain a set of differential equations which are then solved successively using the Eigen functions expansion technique to obtain the analytical solution. The results obtained are plotted into graphs to show the effect of change in the parameters on the concentration of the contaminants. Findings from this research show that the contaminant concentration decreases with increase in distance as the off-diagonal dispersion coefficient, zero-order source coefficient and vertical dispersion coefficient increases.
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    Semi-analytical Study of a One-dimensional Contaminant Flow in a Finite Medium
    (Journal of Applied Science Environmental Management (JASEM), 2017-05-21) JIMOH, OMANANYI RAZAQ; AIYESIMI, YM; JIYA, M.; BOLARIN, GA
    The Bubnov-Galerkin weighted residual method was used to solve a onedimensional contaminant flow problem in this paper. The governing equation of the contaminant flow, which is characterized by advection, dispersion and adsorption was discretized and solved to obtain the semi-analytical solution. The adsorption isotherm was assumed to be of Freudlich type. The results obtained were expressed in graphical form to show the effect of change in the parameters on the concentration of the contaminants. From the analysis of the results, it was discovered that the contaminant concentration decreases with increase in the distance from the origin as the dispersion and velocity coefficient decrease.