Analysis of Initial Divergence Rate of Single Near-Wall Vortex in A Parallel Vortex Field

Abstract

This study was conducted to gain a better understanding in the interaction between vortices in a parallel vortex field near wall. This thesis describes one of the methods predicting the initial diverging speed of a single vortex in a parallel vortex field near wall. The method uses first order potential flow theory to predict the initial speed of one of the vortices. In this study, the center vortex was evaluated to simulate an infinite vortex sheet. A parametric study was conducted to see how various factors would impact the initial vortex divergence speed. The factors include the circulation strength of the vortices, the vertical distance between the wall to the vortex cores, the distance between each vortex cores, and the perturbation distance of another vortex to create the divergence of the vortex of interest.