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

Abstract

The three-dimensional axisymmetric stagnation point flow have applications in many manufacturing processes in industry such as the boundary layer along material handling conveyers, the aerodynamic extrusion of plastic sheet, and the cooling of an infinite metallic plate in cooling bath. Therefore in this thesis, unsteady free convection flow of a three-dimensional body near the stagnation point region is studied. The effect of g-jitter and heat generation are also considered. The governing equations which consist of coupled nonlinear partial differential equations are solved numerically through an implicit finite difference scheme known as the Keller-box method. The parameter involved are curvature ratio, ??, oscillation frequency, O, Prandtl number Pr=0.72 and g-jitter amplitude, ??. The results presented include mean skin friction and mean heat flux, the skin frictions and heat flux as well as the velocity and temperature profiles in various conditions. The results obtained show that the effect of heat generation, ?? gives rises to the skin friction and heat flux as curvature ratio and oscillation frequency increases.