Data Research, Vol. 4, Issue 6, Dec  2020, Pages 29-39; DOI: https://doi.org/10.31058/j.data.2020.46004 https://doi.org/10.31058/j.data.2020.46004

Applications of Kutta-Joukowski Transformation to the Flow Past a Flat Plate

, Vol. 4, Issue 6, Dec  2020, Pages 29-39.

DOI: https://doi.org/10.31058/j.data.2020.46004

Sa Pai Myint 1*

1 Mathematics Department, University of Yangon, Yangon, Myanmar

Received: 25 August 2020; Accepted: 15 September 2020; Published: 20 October 2020

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Abstract

In this paper, conformal mapping is mainly applied to the flow past a flat plate for the airfoil. Kutta-Joukowski transformation is expressed. The applications of Joukowski transformation are discussed.  Kutta-Joukowski lift theorem is also proved. The force acting on a solid body is discussed. Lift formula for the flat plate is obtained. Forces on the cylinders are derived. Conformal mapping is explained and is applied to the two-dimensional flows. Joukowski transformation which is also conformal is explained and is applied to the flows. Kutta-Joukowski lift theorem is also proved. Flows past arbitrary airfoils are considered by using Joukowski transformation.

Keywords

Conformal transformation, Airfoil , Kutta-Joukowski transformation

Copyright

© 2017 by the authors. Licensee International Technology and Science Press Limited. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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