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HW 2 - where he taught his graph of the complex plane = w z...

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Eric Johnston MAED HW2 1. In 1882 Nikolai Egorovich Joukowski received his doctorate at Moscow University for his dissertation dealing with the study of motion stability. He worked at that college and was head of the mechanics department. During this time he received many awards for his theoretical studies of fluid dynamics in 1855. This led him to open up the first Russian school for aeromechanics and hydromechanics. These fields are what made him become known as the “Father of Russian Aviation” because his research lead to the discovery of air flows, with heavier-than-air gliders. From studying theoretical and practical air flows he eventually started assisting the Russian military and opened an aerodynamics lab. This is
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Unformatted text preview: where he taught his graph of the complex plane = + w z 1z . This is what created what we call the Joukowski airfoil which shows the flow of air/fluid around an object whose shape is what we consider the wing of an airplane. It is determined by the use of conformal mapping, which is a mathematical method used to convert one graph to another while conserving all the lines and points. This converts a cylinder with its airflow into an airfoil by represents points in the cylinders graph as complex coordinates of x an y. With x and y known, he converts them to any point z in the complex plane w. http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Zhukovsky.html...
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