Mathematical modelling of unsteady solute dispersion in two-fluid (micropolar-Newtonian) blood flow with bulk reaction

Roy, AK and Beg, OA ORCID: https://orcid.org/0000-0001-5925-6711 2021, 'Mathematical modelling of unsteady solute dispersion in two-fluid (micropolar-Newtonian) blood flow with bulk reaction' , International Communications in Heat and Mass Transfer, 122 , p. 105169.

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Abstract

A mathematical model is developed for axisymmetric, incompressible, and fully developed hemodynamic transport of a reactive diffusing species, e. g. oxygen, in a rigid, impermeable artery under constant axial pressure gradient which undergoes a first-order chemical reaction with streaming blood. A two-fluid model is deployed where the core region is simulated as an Eringen micropolar fluid, and the plasma layer engulfing the core, i.e., near the boundary, is analyzed as a Newtonian viscous fluid. At the interface of the core and plasma region, the velocity and shear stress are equal, and micro-rotation is constant. Closed-form solutions are presented for the velocity and micro-rotation profiles, and a Gill decomposition method is deployed for the concentration field. Expressions are derived for the dispersion coefficient, mean and transverse concentration functions. Transverse concentration is observed to be enhanced with increasing micropolar coupling number (N) and reaction rate ( ); however, it is reduced with greater micropolar material parameter (s) and viscosity ratio ( ). Additionally, graphs are presented for the evolution in dispersion coefficient, and the rate of dispersion coefficient with micropolar parameters is examined. Finally, both axial and transverse mean concentration distributions for all key parameters are investigated. Transverse concentration is observed to be enhanced with increasing micropolar coupling number and reaction rate; however, it is reduced with greater micropolar material parameter and viscosity ratio. Axial mean concentration peaks are reduced in magnitude and displaced further along the arterial geometry with greater micropolar material parameter values, whereas the opposite effect is induced with greater micropolar coupling number. A slight increase in axial mean concentration peak value is computed with increasing reaction parameter. The dispersion coefficient is reduced with increasing micropolar material parameter but grows with a greater viscosity ratio. The study is relevant to hemorheology, diseased arteries and coagulating hemodynamics and may help physiologists and clinicians in furnishing a more refined understanding of diffusion processes in cardiovascular hydrodynamics.

Item Type: Article
Schools: Schools > School of Computing, Science and Engineering
Journal or Publication Title: International Communications in Heat and Mass Transfer
Publisher: Elsevier
ISSN: 0735-1933
Related URLs:
Depositing User: USIR Admin
Date Deposited: 26 Jan 2021 09:12
Last Modified: 28 Aug 2021 11:11
URI: http://usir.salford.ac.uk/id/eprint/59417

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