Modeling the Treatment Effect on LDL-C and Atherosclerotic Blood Flow through Microchannel with Heat and Magnetic Field

K.W. Bunonyo; E. Amos; C. Nwaigwe

doi:https://doi.org/10.14445/22315373/IJMTT-V67I10P504

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 67 | Issue 10 | Year 2021 | Article Id. IJMTT-V67I10P504 | DOI : https://doi.org/10.14445/22315373/IJMTT-V67I10P504

Modeling the Treatment Effect on LDL-C and Atherosclerotic Blood Flow through Microchannel with Heat and Magnetic Field

K.W. Bunonyo, E. Amos, C. Nwaigwe

Citation :

K.W. Bunonyo, E. Amos, C. Nwaigwe, "Modeling the Treatment Effect on LDL-C and Atherosclerotic Blood Flow through Microchannel with Heat and Magnetic Field," International Journal of Mathematics Trends and Technology (IJMTT), vol. 67, no. 10, pp. 41-58, 2021. Crossref, https://doi.org/10.14445/22315373/IJMTT-V67I10P504

Abstract

This article investigated the treatment effect on LDL-C and atherosclerotic blood flow through microchannel with heat and magnetic field. The study involved the formulation of mathematical models which represent the blood momentum equation, LDL-C concentration and Energy equation, we also remodeled the region of atherosclerosis in order to incorporate the treatment term for the control and prevention of excessive cholesterol bloodstream in order to improve healthy. The modeled (PDEs) equations governing the general flow were scaled to a system of dimensionless ordinary differential equations (ODEs) using perturbation technique and are solved directly using the method of undetermined coefficient. Wolfram Mathematica, version 10 was used to code the various flow profiles with some of the pertinent governing parameters varied. From the simulation, it is noticed that the blood velocity increased, as we varied the treamtnt, Soret number, heat radiation, Grashof number, solutal Grashof number and the permeability of the porous medium, while the velocity decreases for variation of Hartmann number, Schmidt number, chemical reaction and oscillatory frequency, mainwhile the fluid temperautre also rises for the variation of growth rate, heat radiation and oscillatory frequency, however, we noticed a decreases in temperautre for the increasing values of the Prandtl number. In conclusion, it is seen that, first, if we want to keep blood velocity in check, we need to control the impact of the Lorentz force, Soret number, the treatment and keep a watch on the intake of the Trans fats, secondly, Hartmann number control could be useful for early detection and treatment of termal ailments like tumour growth. If we must avoid Trans fat induced cardiovascular diseases, we must adhere to diet control and limit the intake of fatty substances.

Keywords

Modeling, Treatment, Heat, Blood, Atherosclerosis, atheroma, Cholesterol, Magnetic Field, LDL-C, ODEs and PDEs

References

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