Computational hemodynamics of Sisko-blood doped with gold and silver nanoparticles in a stenosed artery with porous walls

Zuberi, Haris; Lal, Madan; Deo, Satya; Saxena, Akansha; Anwar Bég, O; Kuharat, S; Chamkha, Ali

Abstract

Motivated by the increasing popularity in the deployment of biocompatible nanoparticles in treatments for atherosclerosis, a mathematical model is constructed to replicate the influence of silver and gold nanoparticles on blood flow through porous-walled stenotic arteries. The arterial vessel walls are deformable and stretching/shrinking, wall curvature and viscous dissipation effects are considered. The conservation equations for momentum, heat and mass are formulated in an axisymmetric coordinate system for nano-doped blood. The Tiwari-Das nanoscale volume fraction model is utilized, and the Sisko non-Newtonian model is deployed for rheological characteristics. By suitable scaling transformations, the original partial differential equations and associated boundary conditions are rendered into a coupled nonlinear ordinary differential boundary value problem. The efficient bvp4c solver in MATLAB symbolic software is implemented to obtain numerical solutions. The novelty of the current study is the simultaneous consideration of gold/silver nanoparticles, wall curvature, convective wall heating, permeability of the arterial walls, Darcy porous drag effects, and Sisko rheological characteristics in stenotic hemodynamics. The simulations show that an increase in the volume fraction, arterial curvature parameter, suction parameter, and permeability parameter induces a decrease in the velocity of gold-blood and silver-blood nanofluids whereas stronger injection at the arterial wall produces acceleration. The temperature is depleted with an enhancement in thermal Biot number. Nusselt number is elevated with an increment in the curvature parameter for the shrinking arterial wall case with injection whereas it is reduced for the stretching arterial wall case with suction. The simulations furnish a deeper insight into atherosclerosis mitigation with nanoparticles utilizing more realistic fluid dynamics.

Citation

Zuberi, H., Lal, M., Deo, S., Saxena, A., Anwar Bég, O., Kuharat, S., & Chamkha, A. (in press). Computational hemodynamics of Sisko-blood doped with gold and silver nanoparticles in a stenosed artery with porous walls. Numerical Heat Transfer, Part A Applications,

• Journal Article Type: Article
• Acceptance Date: Aug 30, 2024
• Deposit Date: Aug 31, 2024
• Print ISSN: 1040-7782
• Electronic ISSN: 1521-0634
• Publisher: Taylor and Francis
• Peer Reviewed: Peer Reviewed
• Keywords: Gold/silver nanoparticles; Sisko rheological model; Viscous dissipation; Darcy porous medium; Arterial wall stretching/shrinking; Thermal Biot number Subject classification codes: 76S05, 76D10, 76D99 2