Numerical simulation of the transport of nanoparticles as drug carriers in hydromagnetic blood flow through a diseased artery with vessel wall permeability and rheological effects

Tripathi, J; Vasu, B; Beg, OA; Gorla, RSR

Abstract

The present study considers the mathematical modelling of unsteady non-Newtonian hydro-magnetic nanohemodynamics through a rigid cylindrical artery featuring two different stenoses (composite and irregular).
The Ostwald-De Waele power-law fluid model is adopted to simulate the non-Newtonian characteristics of
blood. Inspired by drug delivery applications for cardiovascular treatments, blood is considered doped with
a homogenous suspension of biocompatible nanoparticles. The arterial vessel exhibits the permeability
effect (lateral influx/efflux), and an external magnetic field is also applied in the radial direction to the flow.
A combination of the Buongiorno and Tiwari-Das nanoscale models is adopted. The strongly nonlinear
nature of the governing equations requires a robust numerical method, and therefore the finite difference
technique is deployed to solve the resulting equations. Validation of solutions for the pure blood case
(absence of nanoparticles) is included. Comprehensive solutions are presented for shear-thickening (n=1.5)
and shear-thinning (n=0.5) blood flow for the effects of crucial nanoscale thermophysical, solutal
parameters, and hydrodynamic parameters. Comparison of profiles (velocity, temperature, wall shear stress,
and flow rate) is also made for composite and irregular stenosis. Colour visualization of streamline plots is
included for pure blood and nano mediated blood both with and without applied magnetic field. The
inclusion of nanoparticles (Cu/blood) within blood increases the axial velocity of blood. By applying
external magnetic field in the radial direction, axial velocity is significantly damped whereas much less
dramatic alterations are computed in blood temperature and concentration profiles. The simulations are
relevant to the diffusion of nano-drugs in magnetic targeted treatment of stenosed arterial diseases.

Citation

Tripathi, J., Vasu, B., Beg, O., & Gorla, R. (2022). Numerical simulation of the transport of nanoparticles as drug carriers in hydromagnetic blood flow through a diseased artery with vessel wall permeability and rheological effects. Microvascular Research, 139, 104241. https://doi.org/10.1016/j.mvr.2021.104241

• Journal Article Type: Article
• Acceptance Date: Sep 2, 2021
• Online Publication Date: Sep 8, 2021
• Publication Date: Jan 1, 2022
• Deposit Date: Sep 3, 2021
• Publicly Available Date: Sep 8, 2022
• Journal: Microvascular Research
• Print ISSN: 0026-2862
• Publisher: Elsevier
• Volume: 139
• Pages: 104241
• DOI: https://doi.org/10.1016/j.mvr.2021.104241
• Publisher URL: https://doi.org/10.1016/j.mvr.2021.104241
• Related Public URLs: http://www.journals.elsevier.com/microvascular-research/
• Additional Information: Projects : Computational biofluid dynamics of nano-drug delivery; Grant Number: ECR/2017/001053