Thermally radiated jeffery fluid flow with nanoparticles over a surface of varying thickness in the influence of heat source

Abstract

The current study examines the magnetohydrodynamic flow, heat and mass transfer in radiated Jeffery fluid containing nanoparticles. The fluid motion is considered due to the non-linear stretch of a sheet of non-uniform thickness. The effects of Brownian and thermophoresis in the nanofluid model are described. The governing partial differential equations are transformed into the nonlinear ordinary differential equation using a new set of similarity variables and then solved numerically using MATLAB bvp4c algorithm. The simulated results are presented for various values of physical parameters involved in the study. Novel attributes of these parameters are deliberated through graphs and tables. It is observed that the sheet thickness parameter α and Deborah numberβ have inverse impact on fluid flow and temperature. The fluid temperature rises with the increase in radiation parameter R and heat source parameter δ. Increment in Prandtl number, Lewis parameter, Brownian motion leads to suppress the nanoparticle concentration. Furthermore, the skin friction coefficient and Nusselt number are calculated for the different values of velocity power index s (0 < s<5) and sheet thickness parameter α. Also, a comparative study is carried out with published work and the outcomes are observed in good agreement.

Keywords

• Radiated jeffery fluid
• Magnetohydrodynamic flow
• Stretching surface of varying thickness
• Heat source/ sink
• Brownian motion and thermophoresis