Numerical Simulation of Non-Axisymmetric Homann's Stagnation-Point Flow of Nanofluid

Abstract

This paper addresses numerical results for nanofluid near Homann's non-axisymmetric stagnation-point flow. The nanofluids model shows Brownian motion and thermophoresis effects. Recently, Weidman modify the Homann's stagnation-point problem to non-axisymmetric on rigid surface by superposing additional periodic terms to outer potential flow. The numerical results for couple differential system are obtained by means of shooting method. The solution is achieved for diverse values of involved parameter and ratio γ = b/a (b is shear and a is strain rate), which ranges from (–∞, ∞). The distributions for shear stresses, heat and mass transfer rate, temperature and nanoparticle concentration compared to their large- asymptotic behaviors also presented. For nanofluids, properties may vary considerably near solid boundary due to thermophoresis and Brownian motion of the fluid particles. These effects can result in decreasing viscosity within the boundary layer for heated fluids, thus leading to heat transfer enhancement.