PHAN-THIEN-TANNER NANOFLUID FLOW WITH GOLD NANOPARTICLES THROUGH A STENOTIC ELECTROKINETIC AORTA: A STUDY ON THE CANCER TREATMENT

Abstract

The present study deals with a new novel scheme to cure a deadly disease, i.e., cancer, by adding gold nanoparticles (AuNPs) in the blood. Gold nanoparticles have promising properties that make them supreme compared with other nanoparticles for drug delivery. The hyaluronic acid-coated cisplatin conjugated AuNPs have been used to transport cisplatin into the targeted place and gained a synergistic impact by utilizing laser treatment. The Phan-Thien-Tanner (PTT) fluid model is contemplated to examine the rheology of blood moving through a tapered artery along with stenosis. Two forms of the PTT fluid model have been discussed explicitly to analyze the flow pattern. First, the impact of electrostatic potential and constriction of gold nanoparticles are considered. Second, lubrication theory is applied to formulate mathematical modeling. The resulting nonlinear system in the implicit forms is solved numerically using the Rung-Kutta-Merson scheme (RKMS) with a combination of shooting technique. The impact of velocity, wall shear stress, temperature, and nanoparticle concentration is deliberated against numerous leading parameters. A comparative analysis is also shown through graphs betwixt exponential and linearized models. Moreover, different cases of arteries have also been discussed through graphs. It is noticed that the effects of electroosmotic parameter m and the Brownian motion diffusion parameter Br will oppose the fluid motion, which enhances the shear stress. The thermophoresis and Brownian motion parameters generate a higher temperature, further rising by the golden nanoparticles because of their sizeable atomic number. A significant change in the gold nanoparticle concentration is noticed after increasing the Joule heating parameter because the gold nanoparticles absorb the internal heat and lean to propagate in the converse stream.

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