Unsteady hybrid nanoparticle-mediated magneto-hemodynamics and heat transfer through an overlapped stenotic artery : biomedical drug delivery simulation

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

Abstract

Two-dimensional laminar hemodynamics through a diseased artery featuring an overlapped
stenosis was simulated theoretically and computationally. This study presented a mathematical model for the unsteady
blood flow with hybrid biocompatible nanoparticles (Silver and Gold) inspired by drug delivery applications. A
modified Tiwari-Das volume fraction model was adopted for nanoscale effects. Motivated by the magnetohemodynamics effects, a uniform magnetic field was applied in the radial direction to the blood flow. For realistic
blood behavior, Reynolds’ viscosity model was applied in the formulation to represent the temperature dependency
of blood. Fourier’s heat conduction law was assumed, and heat generation effects were included. Therefore, the
governing equations were an extension of the Navier-Stokes equations with magneto-hydrodynamic body force
included. The two-dimensional governing equations were transformed and normalized with appropriate variables,
and the mild stenotic approximation was implemented. The strongly nonlinear nature of the resulting dimensionless
boundary value problem required a robust numerical method, and therefore the FTCS algorithm was deployed.
Validation of solutions for the particular case of constant viscosity and non-magnetic blood flow was included. Using
clinically realistic hemodynamic data, comprehensive solutions were presented for silver, and silver-gold hybrid
mediated blood flow. A comparison between silver and hybrid nanofluid was also included, emphasizing the use of
hybrid nanoparticles for minimizing the hemodynamics. Enhancement in magnetic parameter decelerated the axial
blood flow in stenotic region. Colored streamline plots for blood, silver nano-doped blood, and hybrid nano-doped
blood were also presented. The simulations were relevant to the diffusion of nano-drugs in magnetic targeted treatment
of stenosed arterial diseases

Citation

Tripathi, J., Vasu, B., Beg, O., & Gorla, R. (2021). Unsteady hybrid nanoparticle-mediated magneto-hemodynamics and heat transfer through an overlapped stenotic artery : biomedical drug delivery simulation. Proceedings of the Institution of Mechanical Engineers, Part H: Journal of Engineering in Medicine, 235(10), 1175-1196. https://doi.org/10.1177/09544119211026095

• Journal Article Type: Article
• Acceptance Date: May 31, 2021
• Online Publication Date: Jun 21, 2021
• Publication Date: Oct 1, 2021
• Deposit Date: Jun 2, 2021
• Publicly Available Date: Jun 2, 2021
• Journal: Proceedings of the Institution of Mechanical Engineers, Part H: Journal of Engineering in Medicine
• Print ISSN: 0954-4119
• Electronic ISSN: 2041-3033
• Publisher: SAGE Publications
• Volume: 235
• Issue: 10
• Pages: 1175-1196
• DOI: https://doi.org/10.1177/09544119211026095
• Publisher URL: https://doi.org/10.1177/09544119211026095
• Related Public URLs: https://journals.sagepub.com/home/pih
• Additional Information: Access Information : Users who receive access to an article through a repository are reminded that the article is protected by copyright and reuse is restricted to non-commercial and no derivative uses. Users may also download and save a local copy of an article accessed in an institutional repository for the user's personal reference.; Projects : Computational biofluid dynamics of nano-drug delivery