#AnalyticFunction

Khurram Wadee ✅mkwadee@mastodon.org.uk
2024-07-05

Following on from yesterday’s posting of flow around a #ZhukovskyAerofoil, I’ve added #equipotential lines (blue) in addition to #streamlines (black). The two families are #contours of the #real and #imaginary parts of an #AnalyticFunction and therefore have the property of intersecting #orthogonally. The plots aren’t ideal as there are some anomalous features where the equipotential lines are very close to the #aerofoil.

#MyWork #CCBYSA #AppliedMathematics #Aeronautics #Aerodynamics

Khurram Wadee ✅mkwadee@mastodon.org.uk
2024-07-04

The #Zhukovsky #Aerofoil (sometimes transliterated as #Joukowsky from #Russian), is a 2D model of #streamlined #Airflow past a #wing. It uses #ComplexVariable and is an #AnalyticFunction (i.e. #Differentiable everywhere, save at isolated #Singularities). Take a circle in the #ComplexPlane which is not quite centred at the #origin but passes through the #coordinate (1,0) or (z=1+0i).

#MyWork #CCBYSA #AppliedMathematics #WxMaxima #FreeSoftware #Aeronautics #Aerodynamics #LaminarFlow

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