Application of Successive Linearization Method on Steady Radial Flow of Nanofluids Between Inclined Plane Walls

Abstract

The present work purveys the heat transfer enhancement in the steady two-dimensional viscous incompressible radial flow of Au-Water and Ag-Water nanofluids in the presence of MHD effect between the stationary convergent/divergent channel walls which are permitted to stretch or shrink. A uniform magnetic field is applied. The governing partial differential equations of the present physics and their appropriate boundary conditions are initially cast into dimensionless forms to reduce into the ordinary differential equations. The resulting equations thus formed are then solved by adopting the Successive Linearization Method (SLM) to get the accurate numerical solution. Solution errors and residual norms are analyzed to elaborate the convergence and accuracy of the numerical solution. The behavior of thermal conductivity of both types of nanofluids is examined for converging channel and diverging channel cases under the uniform magnetic field effect. The present results are validated with favorable comparisons with previously published results as the current investigations’ unique cases. A parametric study of the governing parameters, namely the magnetic field strength parameter, Reynolds number, angle of inclination, and the stretching parameter on the non-dimensional velocity and temperature, is conducted. Analysis discloses that the profiles of the flow are largely impacted by the physical parameters. It is noticed that the magnetic parameter deploys an enhancing influence on fluid velocity profile as well as heat transfer rate, and the effect of the magnetic field is less pronounced on Au-water nanofluid than that of the Ag-water nanofluid. The fluid velocity increases as the values of Re increase for both the nanofluids in the convergent channel and decreases in the case of the divergent channel. Fluid temperature increases as Re increases for the divergent channel. The velocity of both the nanofluids increases as the angle of inclination of the plates increases.