Nonlinear thermal radiation in three-dimensional flow of Jeffrey nanofluid: A model for solar energy

• Three-dimensional flow of Jeffrey fluid is modeled.
• Radiative flow is taken into account.
• Thermophoresis and Brownian motion effects are incorporated.
• Series solutions are developed to analyze the results.
• Values of local Nusselt and Sherwood numbers are computed and discussed.

This article explores the characteristics of thermophoresis and Brownian motion in magnetohydrodynamic three-dimensional flow of nano Jeffrey fluid. Flow analysis is modeled in the presence of thermal radiation. The resulting stretched flow problems have been solved for the velocity, temperature and concentration. The constructed expressions depend upon ratio of relaxation to retardation times, Deborah number, magnetic parameter, ratio of stretching rates, Lewis number, Prandtl number, radiation parameter, thermophoresis and Brownian motion parameters. Plots are presented and analyzed specifically for the temperature and nanoparticle concentration profiles. Numerical computations are performed for local Nusselt and Sherwood numbers. Impact reflecting the contributions of various embedded on the local Nusselt and Sherwood numbers is point out. It is observed that temperature and nanoparticle concentration profiles are decreased with an increase in Deborah number. An increase in thermophoresis parameter shows rise to the temperature and nanoparticle concentration fields. It is also seen that temperature and nanoparticle concentration profiles are quite opposite when Brownian motion parameter is increased.