Performance of activation energy on the radiative nanofluid flow with Darcy-Forchheimer inertial drag over a heated elongating sheet

In electrochemical reactions, cellular processes, and drug design the application of activation energy is important. However, continuous metal casting in industries for polymer extrusion in metal spinning, the flow of nanofluid with activation energy over a stretching surface plays crucial role. Based on the constructive recent applications, the current investigation focuses on the magnetohydrodynamic radiative flow of nanofluid over an elongating sheet, examining the effects of inertial drag and Arrhenius activation energy. Moreover, the significance of Thermophoresis and Brownian motion in the two-phase nanofluid model is crucial owing to their involvement in the cross-diffusion process. The implementation of similarity rules, the transport phenomena along with surface conditions are normalised and then the system involved with characterizing parameters are handled numerically. In particular, Rung-Kutta shooting is adopted with the help of built-in routine code bvp4c in MATLAB for the solution. Although the computational numerical result of the rate coefficient is used for the validation, the parametric analysis is presented graphically. Finally, the major contribution of the factors to the flow phenomena is stated as follows: cross-diffusion caused by Brownian motion causes the development of both temperature and concentration distributions, whereas thermophoresis has unique consequences. Furthermore, the Lewis number and chemical reactions are critical criteria that must be addressed, when managing the concentration distribution.