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

Dubey, A; Vasu, B; Beg, OA; Gorla, RSR; Kadir, A

Abstract

This article presents a two-dimensional theoretical study of hemodynamics through a diseased
permeable artery with a mild stenosis and an aneurysm present. The effect of metallic nanoparticles
on the blood flow is considered, motivated by drug delivery (pharmacology) applications. Two
different models are adopted to mimic non-Newtonian characteristics of the blood flow; the Casson
(viscoplastic) fluid model is deployed in the core region and the Sisko (viscoelastic) fluid model
employed in the peripheral (porous) region. The revised Buongiorno two-component nanofluid
model is utilized for nanoscale effects. The blood is considered to contain a homogenous
suspension of nanoparticles. The governing equations are derived by extending the Navier-Stokes
equations with linear Boussinesq approximation (which simulates both heat and mass transfer).
Natural (free) double-diffusive convection is considered to simulate the dual influence of thermal
and solutal buoyancy forces. The conservation equations are normalized by employing appropriate
non-dimensional variables. The transformed equations are solved numerically using the finite
element method with the variational formulation scheme available in the FreeFEM++ code. A
comprehensive mesh-independence study is included. The effect of selected parameters
(thermophoresis, Brownian motion, Grashof number, thermo-solutal buoyancy ratio, Sisko
parameter ratio and permeability parameter) on velocity, temperature, nanoparticle concentration
2
and hemodynamic pressure have been calculated for two clinically important cases of arteries with
a stenosis and an aneurysm. Skin-friction coefficient, Nusselt number, volumetric flow rate and
resistance impedance of blood flow are also computed. Colour contours and graphs are employed
to visualize the simulated blood flow characteristics. It is observed that by increasing thermal
buoyancy parameter i.e. Grashof number (Gr), the nanoparticle concentration and temperature
decrease whereas velocity increases with an increment in Brownian motion parameter (Nb).
Furthermore, velocity decreases in the peripheral porous region with elevation in the Sisko
material ratio (m) and permeability parameter (k’). The simulations are relevant to transport
phenomena in pharmacology and nano-drug targeted delivery in haematology.

Citation

Dubey, A., Vasu, B., Beg, O., Gorla, R., & Kadir, A. (2020). Computational fluid dynamic simulation of two-fluid non-newtonian nanohemodynamics through a diseased artery with a stenosis and aneurysm. Computer Methods in Biomechanics and Biomedical Engineering, 23(8), 345-371. https://doi.org/10.1080/10255842.2020.1729755

• Journal Article Type: Article
• Acceptance Date: Feb 11, 2020
• Online Publication Date: Feb 26, 2020
• Publication Date: Feb 26, 2020
• Deposit Date: Feb 12, 2020
• Publicly Available Date: Feb 26, 2021
• Journal: Computer Methods in Biomechanics and Biomedical Engineering
• Print ISSN: 1025-5842
• Electronic ISSN: 1476-8259
• Publisher: Taylor and Francis
• Volume: 23
• Issue: 8
• Pages: 345-371
• DOI: https://doi.org/10.1080/10255842.2020.1729755
• Publisher URL: https://doi.org/10.1080/10255842.2020.1729755
• Related Public URLs: https://www.tandfonline.com/toc/gcmb20/current
• Additional Information: Projects : COMPUTATIONAL HEMO-RHEOLOGICAL NANOFLUID DYNAMICS IN MEDICINE