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

. 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 ar...

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Bibliographic Details
Published in:European physical journal plus 2017-07, Vol.132 (7), p.294, Article 294
Main Authors: Akbar, Noreen Sher, Tripathi, Dharmendra, Bég, O. Anwar
Format: Article
Language:English
Subjects:
Applied and Technical Physics
Atomic
Blood flow
Boundary conditions
Boundary value problems
Complex Systems
Condensed Matter Physics
Design optimization
Equilibrium flow
Fluid flow
Heat transfer
Hemodynamics
Incompressible flow
Mathematical and Computational Physics
Mathematical models
Medical equipment
Molecular
Nanoparticles
Optical and Plasma Physics
Permeability
Physics
Physics and Astronomy
Regular Article
Shear stress
Slip flow
Steady state
Temperature profiles
Theoretical
Thermophysical models
Transport phenomena
Veins & arteries
Viscosity
Wall shear stresses
Wall slip
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Summary:. 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.
ISSN:2190-5444
2190-5444
DOI:10.1140/epjp/i2017-11557-x