Abstract
In this work, the buoyancy-driven unsteady flow of Casson nanofluid is analyzed. The effects of Brownian motion and thermophoresis on the flow fields are studied in the presence of magnetic field. Moreover, the convective boundary conditions on temperature and concentration walls are also considered. The similarity solutions are obtained numerically through Keller-box scheme. The accuracy of numerical results is verified via comparison with the results of accessible literature. Investigations perceived that the dimensionless temperature is not much affected with Brownian motion and thermophoretic parameters, whereas the impact of both parameters is noted stronger on nanoparticles concentration. The velocity field is observed more pronounced with the strength of magnetic parameter. Also, the influence of Casson fluid parameter on velocity and nanoparticle concentration is noticed opposite. The influence of magnetic parameter on velocity and temperature is seen more pronounced as compared to nanoparticle concentration. Further, the impact of Biot number on dimensionless temperature and nanoparticles concentration is found identical for both steady and unsteady flows. A reduction in velocity field is also observed with increment in slip parameter.