g-Jitter Free Convection Flow Near a Three-Dimensional Stagnation-Point Region with Internal Heat Generation

Abstract

A numerical study on unsteady free convectionviscous fluidflow ona three-dimensional stagnation point region was studied. On the flow, g-jittereffect occurs undermicrogravity environmentandexothermic reaction causingtheheat generation effect. A system ofnonlinear parabolic partial differential equationswasmodifiedand introduced in this study as anextension from previous study. After semi-similar transformation technique, an implicit finite difference scheme known as the Keller-box methodwas 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, amplitude of modulation, and heat generation Q. Analysison velocity profilesshows 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 differentgeometrical shape implies. In addition, g-Jitter effect produceda fluctuating behavior on the flow and heat transfer withlarger values of increasedthe 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.