Variable-viscosity thermal hemodynamic slip flow conveying nanoparticles through a permeable-walled composite stenosed artery

Abstract

This paper presents a mathematical model for simulating viscous, incompressible, steady-state blood flow containing copper nanoparticles and coupled heat transfer through a composite stenosed artery with permeable walls. Wall slip hydrodynamic and also thermal buoyancy effects are included. The artery is simulated as an isotropic elastic tube, following Joshi et al (2009), and a variable viscosity formulation is employed for the flowing blood. The equations governing the transport phenomena are non-dimensionalized and the resulting boundary value problem is solved analytically in the steady state subject to physically appropriate boundary conditions. Numerical computations are conducted to quantify the effects of relevant hemodynamic, thermophysical and nanoscale parameters emerging in the model on velocity and temperature profiles, wall shear stress, impedance resistance and also streamline distributions. The model may be applicable to drug fate transport modeling with nanoparticle agents and also the optimized design of nanoscale medical devices for diagnosing stenotic diseases in circulatory systems.

Modeling and analysis of magnetic hybrid nanoparticle (Au-Al2O3/blood) based drug delivery through a bell-shaped occluded artery with joule heating, viscous dissipation and variable viscosity effects

“…Eckmann [20] tried to figure out the effects of temperature, hematocrit, and shear rate on viscosity of blood in conditions that resembled profound hypothermia for cardiac surgery. The transport of nanoparticles via a stenosed artery with porous walls and variable viscosity was examined by Akbar et al [21]. Tiwari et al [22] examined how dependency of viscosity on hematocrit affects blood flow via a narrow tube.…”

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

“…Further, for the same Reynolds number, increment in volume fraction of nanoparticles also increased the heat transfer. Akbar et al 189 presents a study for the simulating viscous blood flow containing copper nanoparticles through a composite stenosed artery. They also employed permeability of arterial wall and thermal buoyancy effects in the study.…”

Computational fluid dynamic simulation of two-fluid non-Newtonian nanohemodynamics through a diseased artery with a stenosis and aneurysm

“…Interesting examples of the deployment of nanofluids in medicine include blood purification systems [52], smart bio-nano-polymer coatings for medical devices [53], nano-drug delivery (pharmacological systems) in cardiovascular treatment [54,55], biodegradable nanoliquids for cerebral pharmaco-dynamics [56], membrane oxygenator bioreactors [57], orthopaedic lubrication with nano-films (superlubricated poly (3-sulfopropyl methacrylate potassium salt)-grafted mesoporous silica nanoparticles suspended in starch base liquids) [58], pulsed laser ablation (PLA) ultra-pure silicon nanofluid fabrication for cancer therapy [59], smart biomimetic electro-osmotic nanofluid pumps in ocular diagnosis [60], cryopreservation, bone reinforcement via superparamagnetic nanofluids etc. In hemodynamic therapies, the base liquid is clearly blood and can be doped with a variety of nanoparticles including gold.…”