Thermal synthesize of shear thinning nanofluid in small flexible vessel type channel with low seepage Reynold number and Au nanoparticles

Abstract

The present study presents an analysis of Casson nanofluid flow in small expanding/contracting vessel with permeable walls. Further, we have presented the coupling of expanding/contracting parameter with low seepage Reynolds number. Similarity transformation is used to convert the governing partial differential equation into set of coupled nonlinear ordinary differential equations which are solved numerically using R–K method after converting the system of boundary value problem into initial value problem with the help of a shooting technique numerically. The behavior of emerging parameters are presented graphically for velocity, temperature, and nanoparticles fraction. Most important effect of physical parameter skin friction, Nusselt and Sherwood number are presented in table form. It is found that, reduced Nusselt number is decreasing function of Prendtl number and reduce Sherwood number is the increasing Brownian motion parameter Nb and Thermophoresis parameter Nt.