Mathematical Modelling on Unsteady Blood Flow and Unsteady Heat Transfer Through a Stenosed Artery with Hematocrit and Slip Velocity

Year : 2025 | Volume : 12 | Issue : 02 | Page : 16-36
    By

    A. Jimoh,

  • E.O. Senewo,

  • Y.N. Yahaya,

  • K. Ibrahim,

  • S. Yunisa,

  • S.M. Ameh,

  • O.O. Rasaq,

  • D.I. Ajiola,

  1. Associate Professor, Department of Mathematics and Statistics, Confluence University of Science and Technology, Osara, Kogi State, Nigeria
  2. Research Scholar, Department of Mathematics and Statistics, Confluence University of Science and Technology, Osara, Kogi State, Nigeria
  3. Research Scholar, Department of Mathematics and Statistics, Confluence University of Science and Technology, Osara, Kogi State, Nigeria
  4. Research Scholar, Department of Mathematics and Statistics, Confluence University of Science and Technology, Osara, Kogi State, Nigeria
  5. Research Scholar, Department of Mathematics and Statistics, Confluence University of Science and Technology, Osara, Kogi State, Nigeria
  6. Research Scholar, Department of Mathematics and Statistics, Confluence University of Science and Technology, Osara, Kogi State, Nigeria
  7. Research Scholar, Department of Mathematics and Statistics, Confluence University of Science and Technology, Osara, Kogi State, Nigeria
  8. Research Scholar, Department of Applied Physical Science (Materials and Coatings Science Option), Georgia Southern University, Georgia, USA

Abstract

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A theoretical investigation concerning variable viscosity dependent on percentage concentration of red blood cell interm of total volume of blood (hematocrit) and slip velocity on unsteady flow of blood and heat transfer has been carried out. The analytical expressions for the flow characteristics and the heat transfer rate, including the velocity profile, volumetric flow rate, flow resistance, wall shear stress, and temperature profile, were obtained using the weighted residual method, specifically the Galerkin method and the fourth-order Runge-Kutta method. The results are shown graphically and it was revealed from the graphs that, hematocrit parameter increases with flow resistance, shear stress and heat transfer rate but reduces the flow velocity and volumetric flow rate. It was also revealed that volumetric flow rate, shear stress and flow velocity are positively influence by higher values of the slip velocity while resistance to flow and heat transfer rate decreases as the slip velocity reduces. Higher values of magnetic field parameter offer more resistance to the flow but reduces the flow velocity, volumetric flow rate and shear stress. Finally, time positively influence both the flow velocity and heat transfer rate. It was interestingly observed that, hematocrit parameter shown more noticeable effects on all the flow characteristics and the heat transfer rate compared to slip velocity and magnetic field parameter.   

Keywords: Unsteady blood flow, unsteady heat transfer, slip velocity, hematocrit, magnetic, Third grade fluid models.

[This article belongs to Research & Reviews: Discrete Mathematical Structures ]

How to cite this article:
A. Jimoh, E.O. Senewo, Y.N. Yahaya, K. Ibrahim, S. Yunisa, S.M. Ameh, O.O. Rasaq, D.I. Ajiola. Mathematical Modelling on Unsteady Blood Flow and Unsteady Heat Transfer Through a Stenosed Artery with Hematocrit and Slip Velocity. Research & Reviews: Discrete Mathematical Structures. 2025; 12(02):16-36.
How to cite this URL:
A. Jimoh, E.O. Senewo, Y.N. Yahaya, K. Ibrahim, S. Yunisa, S.M. Ameh, O.O. Rasaq, D.I. Ajiola. Mathematical Modelling on Unsteady Blood Flow and Unsteady Heat Transfer Through a Stenosed Artery with Hematocrit and Slip Velocity. Research & Reviews: Discrete Mathematical Structures. 2025; 12(02):16-36. Available from: https://journals.stmjournals.com/rrdms/article=2025/view=0


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Regular Issue Subscription Original Research
Volume 12
Issue 02
Received 16/04/2025
Accepted 24/06/2025
Published 18/07/2025
Publication Time 93 Days
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