A Mathematical Model of Blood Flow in Merging Veins under a Magnetic Resonance Imaging Influence

W. I. A. Okuyade, T. M. Abbey, M. E. Abbey and D. M. Abbey
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W. I. A. Okuyade: Federal Polytechnic of Oil and Gas, Nigeria
T. M. Abbey: University of Port Harcourt, Nigeria
M. E. Abbey: Federal Polytechnic of Oil and Gas Bonny, Nigeria
D. M. Abbey: Federal Polytechnic of Oil and Gas Bonny, Nigeria

European Journal of Mathematics and Statistics, 2021, vol. 2, issue 3, 1-7

Abstract: Venous blood flow through the superior and inferior vena cavae and via a merger to the right atrium of the heart is investigated. Based on the Newtonian assumption for blood, the model is developed using Boussinesq’s approximation for the continuity, momentum, energy, and mass diffusion equations, which are non-linear partial differential equations. The governing equations are non-dimensionalized and solved by the regular perturbation technique. Expressions for the concentration, temperature, and velocity are obtained, analyzed, and presented graphically and quantitatively, and discussed. The results show that an increase in the magnetic field strength and conflux angle produce fluctuations in the flow velocity.

Keywords: merging flow; venous blood; resonance imaging influence (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:epw:ejmath:v:2:y:2021:i:3:id:14035

DOI: 10.24018/ejmath.2021.2.3.35

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