Micropolar pulsatile blood flow conveying nanoparticles in a stenotic tapered artery : non-Newtonian pharmacodynamic simulation

Vasu, B, Dubey, A, Beg, OA ORCID: https://orcid.org/0000-0001-5925-6711 and Gorla, RSR 2020, 'Micropolar pulsatile blood flow conveying nanoparticles in a stenotic tapered artery : non-Newtonian pharmacodynamic simulation' , Computers in Biology and Medicine . (In Press)

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Abstract

Two-dimensional rheological laminar hemodynamics through a diseased tapered artery with a mild stenosis present is simulated theoretically and computationally. The effect of different metallic nanoparticles homogeneously suspended in the blood is considered, motivated by drug delivery (pharmacology) applications. The Eringen micropolar model has been deployed for hemorheological characteristics in the whole arterial region. The conservation equations for mass, linear momentum, angular momentum (micro-rotation), and energy and nanoparticle species are normalized by employing suitable non-dimensional variables. The transformed equations are solved numerically subject to physically appropriate boundary conditions using the finite element method with the variational formulation scheme available in the FreeFEM++ code. A good correlation is achieved between the FreeFEM++ computations and existing results. The effect of selected parameters (taper angle, Prandtl number, Womersley parameter, pulsatile constants, and volumetric concentration) on velocity, temperature, and microrotational (Eringen angular) velocity has been calculated for a stenosed arterial segment. Wall shear stress, volumetric flow rate, and hemodynamic impedance of blood flow are also computed. Colour contours and graphs are employed to visualize the simulated blood flow characteristics. It is observed that by increasing Prandtl number (Pr), the micro-rotational velocity decreases i.e., microelement (blood cell) spin is suppressed. Wall shear stress decreases with the increment in pulsatile parameters (B and e), whereas linear velocity increases with a decrement in these parameters. Furthermore, the velocity decreases in the tapered region with elevation in the Womersley parameter (α). The simulations are relevant to transport phenomena in pharmacology and nano-drug targeted delivery in hematology.

Item Type: Article
Schools: Schools > School of Computing, Science and Engineering
Journal or Publication Title: Computers in Biology and Medicine
Publisher: Elsevier
ISSN: 0010-4825
Funders: Science and Engineering Research Board (SERB), Department of Science and Technology (DST), Government of India
Depositing User: OA Beg
Date Deposited: 28 Sep 2020 10:33
Last Modified: 28 Sep 2020 10:45
URI: http://usir.salford.ac.uk/id/eprint/58399

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