Construction of the Asymmetric Joukowski Airfoil through Karman-Trefftz Transformation, for n = 2, using GeoGebra 5.0
DOI:
https://doi.org/10.35819/remat2020v6i2id3895Keywords:
Joukowski Transformation, Karman-Trefftz Transformation, Asymmetric Joukowski Airfoil, GeoGebraAbstract
The Conform Transformation is a mathematical tool that allows the construction of complex geometries from simpler geometries. The Joukowski airfoil exemplifies this statement, however, obtaining it by conventional mathematical means is complex, making it necessary to use computational resources. This article demonstrates a technique whose purpose is to facilitate the understanding of the Joukowski Transformation, which consists of mapping a circumference in the asymmetric Joukowski airfoil using GeoGebra. The Joukowski Transformation was obtained through the Karman-Trefftz Transformation, for n = 2, using compositions of complex functions. The simulations were performed using the GeoGebra 5.0 software, which made it possible to construct and obtain mathematical equations, on the real plane, of the geometric figures involved in the transformations until obtaining the asymmetric Joukowski airfoil. The results of the simulation were satisfactory, such that the equations of the geometric shapes until the construction of the airfoil were successfully obtained.
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https://orcid.org/0000-0002-0893-7426
