Mathematics

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Mathematics

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Author: search.filters.author.JIMOH, OMANANYI RAZAQStart date: 2024

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    Modelling Thermal Radiation Effects on Temperature and Concentration on Magnetohydrodynamic Flow in the Presence of Chemical Reaction in a Porous Medium
    (MATH MODEL RESEARCH GROUP, 2025-02-18) Lawal A. O.; JIMOH, OMANANYI RAZAQ; Yusuf S. I.
    This study presents a mathematical model that explores the impact of thermal radiation effects on temperature and concentration on magnetohydrodynamic (MHD) flow in the presence of chemical reaction in a porous medium. The governing partial differential equations were nondimensionalized, transformed to ordinary differential equations using harmonic solution technique and solved using perturbation method. The results which were presented graphically, highlight several key observations. Specifically, an increase in Grashof number, Dufour number, and porosity parameter leads to higher velocity profiles. Furthermore, Radiative parameters are found to reduce the fluid temperature. The findings of this work will be crucial in optimizing processes in areas like combustion, cooling systems and environmental control technology where such complex interactions are prevalent.
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    Behaviour of Contaminant in a Flow due to Variations in the Cross-Flow dispersion under a Dirichlet Boundary Conditions.
    (SCHOOL OF PHYSICAL SCIENCES, FEDERAL UNIVERSITY OF TECHNOLOGY, MINNA, 2024-04-18) JIMOH, OMANANYI RAZAQ; Adebayo A.; Salihu, N. O.; Bako, D.
    The advection-dispersion equation (ADE) is mostly adopted in evaluating solute migration in a flow. This study presents the behavior of contaminant in a flow due to variations in the cross-flow dispersion under a Dirichlet boundary conditions. The analytical solution of a two-dimensional advection-dispersion equation for evaluating groundwater contamination in a homogeneous finite medium which is initially assumed not contaminant free was obtained. In deriving the model equation, it was assumed that there was a constant point-source concentration at the origin and a Dirichlet type boundary condition at the exit boundary. The cross-flow dispersion coefficients, velocities and decay terms are time-dependent. The modeled equation was transformed using some space and time variables and solved by parameter expanding and Eigen-functions expansion method. Graphs were plotted to study the behavior of the contaminant in the flow. The results showed that increase in the cross-flow coefficient decline the concentration of the contaminant with respect to increase in time, vertical distance and horizontal distance in different patterns.