Abstract:In this work, the effects of dimensionless parameters on velocity field, thermal field and nanoparticle concentration field have been studied. In this regard, the governing partial differential equations are transformed into ordinary differential equations by using similarity transformations. These transformed equations are then solved numerically using the function bvp4c of MATLAB for different values of the parameters. The values of magnetic parameter have been considered as 0.0, 0.5, 1.0 & 1.5, stretching ratio as 0.0, 0.3, 0.5 & 0.7, Brownian motion as 0.0, 0.1, 0.15, 0.20, 0.3, 0.5, 0.8 & 1.5, and thermophoresis as 0.0, 0.05, 0.1, 0.14, 0.3, 0.6 & 1.0. The Prandtl number and Lewis number are taken as (1.0, 3.0 & 6.0) and (1.0, 2.0, 3.0 & 5.0
) respectively. The results indicate that the velocity field increases for the increase in values of pressure gradient parameter, magnetic parameter and stretching ratio parameter. The temperature field decreases for the increase in values of stretching ratio parameter, Brownian motion parameter and Prandtl number but reverse result arises for the increase in values of thermophoresis parameter. The nanoparticle concentration field decreases for the increase in values of pressure gradient parameter, Brownian motion parameter andLewis number whereas it increases as thermophoresis parameter increases. Finally, for validity and accuracy, the present results has compared with previously published work and found to be in good agreement.