Eur. Phys. J. Plus (2017) 132: 294
https://doi.org/10.1140/epjp/i2017-11557-x

Regular Article

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

¹ DBS&H CEME National University of Sciences and Technology, Islamabad, Pakistan
² Department of Mechanical Engineering, Manipal University Jaipur, 303007, Rajasthan, India
³ Fluid Mechanics, Spray Research Group, School of Computing, Science and Engineering, University of Salford, Newton Building, The Crescent, Salford, M5 4WT, Manchester, UK

^* e-mail: dharmendra.tripathi@jaipur.manipal.edu

Received: 28 April 2017
Accepted: 16 May 2017
Published online: 4 July 2017

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 to the optimized design of nanoscale medical devices for diagnosing stenotic diseases in circulatory systems.