Browsing by Author "Mwapinga, Annord"

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MHD Arterial Blood Flow and Mass Transfer under the Presence of Stenosis, Body Acceleration and Chemical Reaction: A Case of Magnetic Therapy
(Journal of Mathematics and Informatics, 2020-02-17) Mwapinga, Annord; Mureithi, Eunice; Makungu, James; Masanja, Verdiana Grace
A mathematical model has been developed and used to study pulsatile blood flow and mass transfer through a stenosed artery in the presence of body acceleration and magnetic fields. An explicit Finite Difference Method (FDM) has been used to discretize the formulated mathematical model. The discretized model equations were solved in MATLAB software to produce simulations. The effect of Hartman number, Reynolds number, Schmidt number, stenotic height, body acceleration and chemical reactions have been investigated. It has been observed that, the velocity, concentration and skin friction, decrease with increasing stenotic height. Velocity on the other hand increases, as body acceleration increases. It has further been observed that as the Hartman number increases, both the radial and axial velocities diminish. Increase of the Reynolds number results in the increase of the velocity profiles. The higher the chemical reaction parameter is, the lower are the concentration profiles.
Momputational analysis of MHD blood flow through a stenosed artery in the presence of body acceleration and chemical reaction
(NM-AIST, 2021-10) Mwapinga, Annord
The unsteady, laminar and two-dimensional pulsatile flow of both, Newtonian and non Newtonian chemically reacting blood in an axisymmetric stenosed artery subject to body ac celeration and magnetic fields were studied. In the case of non-Newtonian blood, heat transfer was taken into consideration. The combined effects of body acceleration, magnetic fields and chemical reaction on blood flow were considered. The non-Newtonian model was chosen to suit the Herschel-Bulkley fluid characteristics. The non-dimensional governing equations were solved using the explicit finite difference method and executed using MATLAB package. The solutions showing the velocity, temper ature and concentration profiles were illustrated. The effects of Reynolds number, Hartman number, Schmidt number, Eckert number and Peclet number were examined. Additionally, the effects of stenosis and body acceleration on blood flow were explored. The study found that, body acceleration, magnetic fields and stenosis affect the normal flow of blood. Body acceleration was observed to have more effect on blood flow than the mag netic fields and stenosis. Furthermore, as the key findings of the study, it was noticed that the combined effect of stenosis, body acceleration, magnetic field and chemical reaction, reduce the concentration profile of the blood flow and the blood flow velocity. It was also observed that, the axial velocity, concentration and skin friction, decrease with increasing stenotic height. The velocity on the other hand increased as the body acceleration increased. Furthermore, as the Hartman number increased, both the radial and axial velocities diminished. The higher the chemical reaction parameter was, the lower were the concentration profiles. For the non-Newtonian blood, the velocity profile diminished with increase in the Hartman number and increased with the body acceleration. The temperature profile was observed to rise by the increase of body acceleration and the Eckert number, while it diminished with the increase of the Peclet number. It was also found that, the concentration profile increased with the increase of the Soret number and decreased with the increase of the chemical reaction. It was further observed that the shear stress deviated more when the power law index, n > 1 than when n < 1.
Non-Newtonian heat and mass transfer on MHD blood flow through a stenosed artery in the presence of body exercise and chemical reaction
(Communications in Mathematical Biology and Neuroscience, 2020-09-17) Mwapinga, Annord; Mureithi, Eunice; Makungu, James; Masanja, Verdiana Grace
A mathematical model of non-Newtonian blood flow, heat and mass transfer through a stenosed artery is studied. The non-Newtonian model is chosen to suit the Herschel-Bulkley fluid characteristics, taking into account the presence of body acceleration, magnetic fields and chemical reaction. The study assumed that, the flow is unsteady, laminar, two-dimensional and axisymmetric. The governing flow equations of motion were solved numerically using explicit finite difference schemes. The study found that velocity profile diminishes with increase in Hartman number and increases with body acceleration. The temperature profile is raised by the increase of body acceleration and the Eckert number, while it diminishes with the increase of the Peclet number. It was found also that the concentration profile increases with the increase of the Soret number and decreases with the increase of the chemical reaction. It was further observed that the shear stress deviates more when n > 1 than when n < 1. Shear stress for power law fluid when n > 1 exhibited higher magnitude value than Newtonian, Bingham and Herschel-Bulkley fluids.