Table of Contents
Journal of Aerodynamics
Volume 2014, Article ID 676912, 10 pages
http://dx.doi.org/10.1155/2014/676912
Research Article

On the Kutta Condition in Potential Flow over Airfoil

Department of Mechanical Engineering, The University of Canterbury, Private Bag Box 4800, Christchurch 8140, New Zealand

Received 30 October 2013; Revised 17 February 2014; Accepted 17 February 2014; Published 1 April 2014

Academic Editor: Ujjwal K. Saha

Copyright © 2014 Farzad Mohebbi and Mathieu Sellier. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

This paper proposes a novel method to implement the Kutta condition in irrotational, inviscid, incompressible flow (potential flow) over an airfoil. In contrast to common practice, this method is not based on the panel method. It is based on a finite difference scheme formulated on a boundary-fitted grid using an O-type elliptic grid generation technique. The proposed algorithm uses a novel and fast procedure to implement the Kutta condition by calculating the stream function over the airfoil surface through the derived expression for the airfoils with both finite trailing edge angle and cusped trailing edge. The results obtained show the excellent agreement with the results from analytical and panel methods thereby confirming the accuracy and correctness of the proposed method.