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

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.

WITHDRAWN: Nanoparticle Drug Eluting Stents for Treatment of Coronary Re-stenosis in unsteady non- Newtonian magneto-hemodynamics: Computational fluid dynamic simulation

“…Computational fluid dynamics studies of nano-drug delivery have featured a wide spectrum of numerical techniques, nanoscale models and rheological material models. Vasu et al [4] reported the first finite difference computational results for nanoparticle doped-micropolar blood flow through a diseased tapered vessel with the Buongiorno model. They computed the impact of vessel taper angle, Prandtl number, Womersley parameter, Brownian motion and thermophoresis on velocity, temperature, micro-rotational (Eringen angular) velocity, nanoparticle concentration, wall shear stress, volumetric flow rate and hemodynamic impedance.…”

Blood Flow Mediated Hybrid Nanoparticles in Human Arterial System: Recent Research, Development and Applications

“…The Keller-box implicit finite difference method was used to solve non-linear system of equations. Vasu et al 88 considered two-dimensional non-Newtonian blood flow through a stenosed coronary artery with a suspension of nanoparticles. For the convection of nanoparticles in the blood, Buongiorno's model again was considered.…”

Impacts of Joule heating and viscous dissipation on MHD pulsatile flow of third grade nanofluid in a channel

“…Investigational and numerical inspection of flow characteristics with energy transfer in a channel for pulsating flow was done by Zhang et al 35 . Vasu et al 36 made a novel model of pulsating micropolar flow of blood carrying nanoparticles in a stenosed narrowing blood vessel for a drug delivery application of non-Newtonian pharmacodynamic simulation. An incompressible non-Newtonian pulsating fluid flow via penetrable medium with an episode of an inclined uniform magnetic field is analytically studied by Bitla and Iyengar 37 .…”