G-jitter free convection flow near a three-dimensional stagnation-point region with internal heat generation

Abstract

A numerical study on unsteady free convection viscous fluid flow on a three-dimensional stagnation point region was studied. On the flow, g-jitter effect occurs under microgravity environment and exothermic reaction causing the heat generation effect. A system of nonlinear parabolic partial differential equations was modified and introduced in this study as an extension from previous study. After semi-similar transformation technique, an implicit finite difference scheme known as the Keller-box method was imposed on the dimensionless governing equation. The analysis on profiles and physical quantities of principal interest was conducted based on the parameters considered in this flow; curvature ratio C, oscillation frequency Ω, amplitude of modulation ε, and heat generation Q. Analysis on velocity profiles shows the behavior for natural convection flow thus satisfies the boundary condition. On the other hand, different value of C produced a different special stagnation-point flow due to the different geometrical shape implies. In addition, g-Jitter effect produced a fluctuating behavior on the flow and heat transfer with larger values of Ω increased the convergence rate. From the temperature results, the temperature profile was found increased but the heat flux on the wall values decreased as Q increased. A comparison study on published result with present study shows the result on skin friction coefficient and heat flux on the wall corresponds to a very good agreement.