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ConformalAdd - 420Aerodynamics Addendumtonotes On...

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420 Aerodynamics Addendum to notes On Conformal mapping
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comments yousuff Aerodynamics 2 Joukowski transformation 2 b z z with ‘b’ an arbitrary scalar As seen before 2 2 ( ) ( ), / 2 ( ) w z V z b V w V z b Non‐lifting flow over a cylinder yields uniform flow over a flat plate. Add a vortex ( , circulation) lifting cylinder 1 2 cos ln 1 i i  
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comments, contd. yousuff Aerodynamics 3 Consider now, 2 2 ( ) ( ), / 2 R R w z V z V z non‐lifting flow over ellipses Add the same vortex ( ) as before lifting ellipse ellipse at some ≠ 0 .
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circulation ( ) determination
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