Arrhenius Activation Energy and Zero Nanoparticles Flux Effects on Free Convection Flow of a Nanofluid Past an Isothermal Elliptical Cylinder with Internal Heat Generation

Abstract

Arrhenius activation energy, zero nanoparticles flux, and internal heat generation effects on natural convection about an isothermal cylinder of elliptic cross section filled with a nanofluid are numerically analyzed in this paper. The nanofluid model involves Brownian motion and thermophoresis effects. The boundary condition of the zero nanoparticle flux causes the results to be more realistic and useful. By using a suitable coordinate transformation, the nonsimilar governing equations are achieved and then solved by Keller box method. Performing the comparisons with previously published work obtains the good agreement. The dimensionless temperature profiles and the Nusselt number results for the main parameters are presented in graphical and tabular forms. The physical aspects of the problem are discussed in details.