Recent progress in Arrhenius activation energy for radiative heat transport of cross nanofluid over a melting wedge

Muhammad Azam ^a,c,*, Zaheer Abbas ^b

a. School of Mathematics and Statistics, Yulin University, Shaanxi, 719000, China
         b. Department of Mathematics, The Islamia University of Bahawalpur, Bahawalpur, 63100, Pakistan
         c. School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, 100081, China

Abstract: A theoretical numerical communication is demonstrated to analyze the impact of Arrhenius activation energy and melting phenomena on chemically reactive Falkner-Skan flow of cross nanofluid over a moving wedge with viscous dissipation and nonlinear radiation impacts. The basic partial differential equations for nanoparticle concentration, energy, momentum and mass conservation are reduced to nonlinear ordinary differential equations with the help of appropriate transforming variables and then solved numerically via bvp4c Matlab solver. It is interesting to notice that nanoparticle concentration and concentration boundary layer thickness are uplifted for enhancing values of activation energy parameter. Additionally, magnitude of heat transfer rate is a growing function of the Eckert number.

Keywords: Melting heat transfer; Activation energy; Viscous dissipation; Falkner-Skan flow; Thermal radiation; Cross nanofluid

https://doi.org/10.1016/j.jppr.2021.11.004