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Published June 4, 2022 | Version v1
Journal article Open

EFFECT OF STENOTIC HEIGHT ON LIPID CONCENTRATED BLOOD FLOW THROUGH A MICROCHANNEL IN THE PRESENCE OF MAGNETIC FIELD

  • 1. MMDARG, Department of Mathematics and Statistics, Federal University Otuoke, Nigeria
  • 2. Department of Mathematics, Rivers State University, Nigeria
  • 3. Department of Petroleum and Gas Engineering, Federal University Otuoke, Nigeria

Description

In this article, we develop mathematical models for blood momentum, energy equation with lipid  conce  ntration, 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 di  fferential 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 prosth  etic devices

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