Joukowsky-Funktion: z ↦ w = z + 1/z

Vergleich: sin & Joukowsky
[right][size=85][size=50][i][b][size=50]Diese Aktivität ist eine Seite des [color=#980000]geogebra-books[/color] [url=https://www.geogebra.org/m/xtueknna][color=#0000ff][u]geometry of some complex functions[/u][/color][/url] [color=#ff7700]october 2021[/color][/size][/b][/i][/size][size=85][size=50][br]Diese Seite ist auch eine Aktivität des [color=#cc0000][i][b]GeoGebra-Books[/b][/i][/color] [url=https://www.geogebra.org/m/kCxvMbHb]Moebiusebene[/url] [/size][/size][/size][size=50][size=50][color=#ff7700][b](Juli 2019)[/b][/color][/size][/size][/right][size=85][br] [br][table][tr][td][size=85]Die [b]Kutta-Schukowski-[color=#0000ff][i]Transformation[/i][/color][/b] wird im Zusammenhang mit der Untersuchung von [i][b]Tragflügel-Profilen[/b][/i] häufig verwendet, ("Joukowski" in anderer Schreibweise!)[br]siehe [url=https://de.wikipedia.org/wiki/Kutta-Schukowski-Transformation]https://de.wikipedia.org/wiki/Kutta-Schukowski-Transformation[/url][br] oder [url=https://de.wikipedia.org/wiki/Profil_(Str%C3%B6mungslehre)]https://de.wikipedia.org/wiki/Profil_(Strömungslehre)[/url][br][br] Im [color=#980000][i][b]Applet oben[/b][/i][/color] wird das Bild der Achsenparallelen [math]x=const[/math] und [math]y=const[/math][br]angezeigt, zum Vergleich; [math]z\mapsto \sin\left(z\right)[/math] und die Joukowski-Transformation [math]z\mapsto z+\frac{1}{z}[/math] [br][br] Im [color=#980000][i][b]Applet unten[/b][/i][/color] kann man die Wirkung der Transformation auf einen Kreis erkunden![/size][/td][td][img]data:image/png;base64,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[/img][/td][/tr][/table] Bewege den [color=#0000ff][i][b]Kreis[/b][/i][/color]![br][/size][br]

Information: Joukowsky-Funktion: z ↦ w = z + 1/z