The Consequence of Velocity Ratio and Curvature of the Surface on MHD Forced Convection Boundary Layer Nanofluid Flow Over an Axisymmetric Cylindrical Surface

Abstract

The present study has considered the steady laminar incompressible non-Newtonian fluid over an axisymmetric stretching cylindrical surface under the effect of the curvature parameter, Brownian motion parameter, and thermophoresis parameter within the boundary layer region. The main goal of this study is to investigate the numerical analysis of nanofluid flow within the boundary layer region with the effects of the curvature parameter and velocity ratio parameter. The novelty of this paper is to propose a numerical method for solving thirdorder ordinary differential equations that include both linear and nonlinear terms. The governing equations have been converted into ordinary differential equations (ODEs) by using appropriate transformations. Runge–Kutta’s fourth-order method is used to find the numerical solutions by exploiting symbolic software MATLAB via the shooting method. It is found that the temperature profile increases for the effect of the thermophoresis parameter and heat generation parameter while decreasing for the effect of the curvature parameter. This study makes an essential contribution to the nanofluids field to solve numerically nonlinear differential equations (DEs). Brownian motion and thermophoresis parameters are considered for the nanofluid effect which plays an important role in the variation of temperature and concentration.