STUDY OF VARYING CONCENTRATION AND SIZE OF NANOPARTICLES IN A CATHETERIZED ARTERY WITH CLOT AND STENOSIS
By
Rekha Bali and Bhawini Prasad
Department of Mathematics , Harcourt Butler Technical University-Kanpur, India-208002
Email: dr.rekhabali1964@gmail.com, jayabhawini@gmail.com (corresponding author)
(Received: March 20, 2023; In format: June 06, 2023; Revised: August 17, 2023;
Accepted: September 23, 2023)
DOI: https://doi.org/10.58250/jnanabha.2023.53205
Abstract
This mathematical study comprising of a catheterized artery with clot and stenosis is conducted to highlight the usage of nanoparticles in treatment of thrombosis. Catheter coated with silver nanoparticles is inserted in the lumen of artery having clot and stenosis. The behavior of blood with nanoparticles is described using nanofluid. Navier-Stokes equation and diffusion equation for temperature as well as concentration are used to model the flow problem. Our prime intention is to study how concentration and nanoparticle size effect nanofluid flow considering the influence of various thermal features like thermal conductivity, specific heat capacity and thermal expansion. Solution has been obtained for concentration, temperature and velocity is obtained using finite difference method. The effects of radius of nanoparticle, Brownian motion parameter, stenosis depth, Grashof number and Darcy number have been examined graphically using MATLAB. It has been concluded that nanoparticles highly concentrate on the clot and stenosis and thus point to possible signicant use of nanoparticles in antithrombotic therapy. This model can be, thus, utilized in thrombolytic therapies by proper optimization of concentration of nanoparticles
as well as their geometries.
2020 Mathematical Sciences Classification: 76A05, 76D05, 35A08, 35A24, 9210, 92C10.
Keywords and Phrases: Nanofluids, Thermal conductivity, Viscosity, Concentration, Brownian motion.