Thermophoresis and Brownian motion impact on diffusional heat generating MHD Jeffrey nanofluid over an inclined vertical cone with reactive species

This study analyzed the thermophoresis and Brownian motion impacts on a diffusional heat-generating MHD Jeffrey nanofluid over an inclined vertical cone in a permeable medium with chemical reactions and radiation. The physical model developed in terms of dimensional set of PDEs with initial and boundary settings transmuted to dimensionless ODEs with appropriate similarity parameters and are then numerically cracked via the efficient finite element method. The effects of relevant physical quantities on the momentum, energy, and concentration profiles are examined via graphs, whereas the wall friction and rates of thermal and solutal transport are presented in the tables. An increase in radiation, thermodiffusion, porosity, and heat source parameters increased the fluid velocity, whereas an increase in the magnetic field and inclination angle decreased the fluid velocity. The nanofluid temperature is reduced by magnifying the retardation-to-relaxation time ratio parameter, whereas the opposite insinuation is noted with increases in the thermophoresis, Brownian, Dufour, and non-Newtonian parameters. An increase in the Lewis number and Brownian parameters decreased the fluid concentration, but it increased with increasing thermophoresis parameter. The rate of thermal transfer increases as the Dufour parameter increase, whereas the opposite tendency is observed when the radiation, Brownian, and buoyance parameters increase. Moreover, a comparison of the outcomes with those of earlier published works was performed to validate the exactness of the solutions and an outstanding agreement was reached.