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This study proclaims the Darcy-Forchheimer flow of Powell- Eyring nanoliquid subjected to nonlinear radially stretching disk. Further the impact of activation energy retained in concentration expression. In addition to this, convective boundary condition is adopted together with a modified version of mass flux condition is used. The modeled partial differential equations have been remodeled into system of ordinary differential equations via appropriate similarity variables. These ODEs are solved by Runge-Kutta fourth order scheme along with shooting technique. Graphs have been prepared to analyze the features of various influential parameters on velocity, temperature and concentration fields. Significant effects are found for various estimations of the fluid parameter on velocity, temperature and concentration profiles. Velocity field is reduced for growing values of porosity as well as inertia coefficient. Concentration rises for larger values of energy parameter but it is depreciated for higher values of chemical reaction rate.

This framework analyzes the impact of activation energy (AE) and binary chemical reaction (BCR) in Darcy-Forchheimer flow of cross fluid with nanoparticles due to radially stretched surface. Moreover slip, joule heating and viscous dissipation aspects have been considered. Ordinary differential equations acquired from the modelled governing partial differential equations with the assistance of suitable transformations. Further the system of nonlinear equations is computed numerically by Runge-Kutta-Fehlberg method cum shooting technique. Graphical representation has been given to analyze the velocity, temperature and concentration fields with the effect of various pertinent parameters. It is evident that inertia coefficient declines the velocity. Velocity decays for larger Weissenberg number while opposite trend observed in temperature field. Temperature field rises for augmented values of Eckert number. Concentration increases with increase of energy parameter.

The numerical investigation of the flow of a Casson nanofluid over an exponential stretching sheet with the effects of the inclined magnetic field and chemical reaction is presented. Moreover we considered second order velocity slip and thermal slip. The basic governing partial differential equations are converted into nonlinear ordinary differential equations by employing suitable similarity transformations. The resulting equations are successfully solved by using an implicit finite difference scheme known as Keller-Box method. Comparisons of numerical results have been done with previously published results and found in good agreement. The effects of various non dimensional parameters (magnetic parameter, aligned angle, Casson parameter, second order velocity slip, thermal slip, Prandtl number, Thermophoresis parameter, Brownian motion parameter, Lewis number, chemical reaction parameter) on velocity, temperature and concentration are discussed in detail and presented through graphs. It is observed that the increase in aligned angle decreases the velocity profile. Considerable slip effects are found on velocity and temperature.