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

Beg, OA; Akbar, NS; Tripathi, D

Abstract

This paper presents a mathematical model for simulating viscous, incompressible, steady-state blood flow containing biocompatible 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.

Citation

Beg, O., Akbar, N., & Tripathi, D. (2017). Variable-viscosity thermal hemodynamic slip flow conveying nanoparticles through a permeable-walled composite stenosed artery. European Physical Journal Plus, 132(294), https://doi.org/10.1140/epjp/i2017-11557-x

• Journal Article Type: Article
• Acceptance Date: May 16, 2017
• Online Publication Date: Jul 4, 2017
• Publication Date: Jul 4, 2017
• Deposit Date: May 18, 2017
• Publicly Available Date: Jul 4, 2018
• Journal: European Physical Journal Plus
• Publisher: EDP Sciences
• Volume: 132
• Issue: 294
• DOI: https://doi.org/10.1140/epjp/i2017-11557-x
• Publisher URL: http://dx.doi.org/10.1140/epjp/i2017-11557-x
• Related Public URLs: https://epjplus.epj.org/