Browsing by Author "Yusuf S. I."

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    Analytical Study of Viscous Fluid Movement in a Rectangular Pipe using Diffusion Magnetic Resonance Equation
    (Nigerian Journal of Theoretical and Environmental Physics, 2024-09) Yusuf S. I.
    Silicene, a two-dimensional material analogous to graphene, has garnered Diffusion Magnetic Resonance Imaging (DMRI) equation is used in this research work to examine the flow of fluid in a rectangular. Having previously considered flow in cylindrical and spherical coordinates, this study explores the rectangular channel of a three dimensional - (3D) flow using DMRI equation evolved and solved analytically using the method of separation of variables (MSV) with appropriate boundary conditions applied. Relaxation times of three viscous fluids were used - crude oil, oil wax and black oil in the simulation and the values of magnetization registered by each fluid recorded. The results obtained showed that oil wax has the highest value of magnetization followed by crude oil and then black oil. The study underscores the multivarious ways diffusion MRI can be applied and its use in the analysis of flow of viscous fluid through different geometrical channels.
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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.