Date

5-1-2018

Document Type

Thesis

Degree

Master of Science

Department

Mechanical Engineering

First Adviser

Jaworski, Justin W.

Abstract

The dynamic interactions between a line vortex and a Joukowski airfoil in harmonic motion are determined analytically and simulated numerically. The equations of vortex motion and the fluid forces on the airfoil are derived from two-dimensional inviscid potential flow theory for fixed and heaving airfoil configurations, and the continuous shedding of vorticity from the trailing edge is modelled by the emended Brown and Michael equation. Special attention is paid to limiting cases of flat airfoils that are either stationary or under prescribed harmonic motions. This work extends beyond these restrictions to include the effects of airfoil thickness and camber on the incoming vortex path, and the dynamic interplay between the vortical field and the prescribed harmonic motions of the airfoil.

Share

COinS