Mathematical Modeling of LDL-C and Blood Flow through an Inclined Channel with Heat in the Presence of Magnetic Field
DOI:
https://doi.org/10.48048/tis.2022.5693Keywords:
Blood, LDL-C, Heat, Magnetic Field, Atherosclerosis, Treatment, Metabolism, Hypertension, Cardiovascular systemAbstract
This investigation revealed that LDL-C and blood flow through an inclined channel with heat in the presence of magnetic field. In this study,mathematical models were formulated for LDL-C and blood flow and energy transfer as a coupled system of partial differential equations (PDEs), the PDEs were scaled using the dimensionless quantities to dimensionless partial differential equations, they are further reduced to an ordinary differential equations (ODEs) using the perturbation method involving the oscillatory term, the governing equations are solved directly using the method of undetermined coefficient. The velocity and temperature functions are obtained with some governing parameters involved, and simulation codes were developed using Mathematica to study the effect of entering parameters on the profiles, and are found to be effective in controlling the flow profiles. It is observed that the governing parameters influenced the flow profiles; also the angle of inclination also influences the flow profile.
HIGHLIGHTS
- Heart attack occurs when blood flow decreases or blood stopped from entering the heart, thereby causing damage to the heart muscle
- Atherosclerosis is an inflammatory disease resulting in the pathological alteration of the intima and media of arteries such as e.g. the aorta
- Use mathematical models to investigate the pulsating flow of blood in an atherosclerotic artery in an inclined fashion
- Carrying out numerical simulation using Mathematica to investigate the impact of the model parameters on the velocity and temperature distribution of the blood. The analysis is relevant in the sense that it helps determine how best clinicians can administer treatment and care
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