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Abstract
In this article, we develop mathematical models for blood momentum, energy equation with lipid concentration, and lipid concentration equation, all of which are subjected to an oscillatory boundary at the channel's upper wall. Using the oscillatory conditions, the governing models were scaled to a set of dimensionless models and reduced to an ordinary differential equation.
The reduced perturbed equations were directly solved, yielding blood velocity, temperature, and lipid concentration profiles. Using Wolfram Mathematica, version 10, the obtained flow profiles were coded by varying some of the important biophysical parameters.
Conclusively, it is noticed that the thermal Grashof number and solutal Grashof number increase caused the blood velocity to increase; the concentration source parameter increase also increased the blood velocity. Furthermore, the velocity decreases with the increase in the Hartman and Schmidt numbers, respectively. Further investigation revealed that increasing the height of stenosis and lipid source parameter increases the temperature profile, but increasing radiation absorption, Prandtl number, oscillatory frequency, and womersley number decreases the temperature of the fluid. These findings are of great interest to mathematicians, physicists, and other researchers working on blood flow issues and the development of medical prosthetic devices.
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