Fractional casson blood flow with gold nanoparticles (AUNPS) in a slip velocity cylinder

Abstract

The technology of nanofluid in the blood flow has attracted researchers to further study theoretically and experimentally due to its importance in treating the tumour and delivering the drugs effectively. Due to the lack of analytical study on nano-bloodfluid, this present paper aims to obtain an analytical solution of the Casson blood flow with gold nanoparticles in the cylinder with the free convection flow and slip velocity effect. The dimensionless governing equations are modelled with the Caputo-Fabrizio fractional derivative approach. Next, the joint methods of the Laplace transform and finite Hankel transform are used to obtain the analytical solution. The velocity profile increased as a fractional parameter, slip velocity parameter, nanoparticles volume fraction parameter and Grashof number are increased. Meanwhile, it decreased as the Casson parameter and Prandtl number increased. The temperature profile increased as the nanoparticle volume fraction parameter increased. However, it decreased as the Prandtl number increased. The obtained results are beneficial for the accuracy checking of the numerical methods. Besides, these results are significant to study the human blood flow behaviour with nanoparticles that help diagnose and treat the tumour cell.