fuckyeahphysica: fuckyeahphysica:In mathematics there is a concept known as ‘Conformal Mapping’ whic
fuckyeahphysica: fuckyeahphysica: In mathematics there is a concept known as ‘Conformal Mapping’ which allows you convert a given shape to a completely different one by making a transformation. In the joukowski transform you take all the points on a circle and apply the following transform: And the resulting transformed points resemble an aerofoil shape. Pretty cool huh ? ** Conformal mappings are a really cool topic in complex analysis but also equally extensive. If you want to know more about them click here EDIT: I forgot to mention that the transformation of a circle into an aerofoil is a very special case and other transformation of other shapes would yield distinct shapes. ( very different from an aerofoil )Here’‘s what i mean:Different circleTriangleEllipseSource : AT&T Archives–. — — -.. / -.. .- -.– -- source link