Arrhenius activation energy of tangent hyperbolic nanofluid over a cone with radiation absorption

Abstract

This study focuses on an incompressible non-Newtonian nanofluid in a 2-dimensional transient boundary layer through a cone. The Arrhenius activation energy and radiation absorption are both accounted for the non-Newtonian nanofluid model. The Runge-Kutta integration method via ODE45 MATLAB bvp4c is used and the converted coupled nonlinear equations are solved numerically. The numerical results are obtained for the nanoparticle concentration temperature, velocity distributions and also Sherwood number, Nusselt number, and skin friction for different values of the parameters, specifically the convection parameter, Prandtl number, nanofluid parameters and Lewis number. Also there are some discussions over the dependence of the thermophysical characteristics on these factors. Analyzing the impacts of activation energy and radiation absorption is a new approach which is the main novelty of this study. As results when the activation energy parameter has higher values, the skin friction decreases, but the Nusselt value and the Sherwood value exhibits reverse tendency. Skin-friction and the Sherwood value both are increasing as the values of the radiation absorption parameter go up, but the Nusselt number exhibits the reverse pattern. We compared the outcomes of our study with previous works to show the efficiency of this research.

Keywords

• Arrhenius activation energy
• Brownian motion
• Thermophoresis
• Lewis number
• Cone