ConformalMap

ConformalMap - MEM420 Aerodynamics(conformal mapping Dr A Yousuff MEM/Drexel Perfect Fluid Consider inviscid incompressible irrotational field

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MEM420 Aerodynamics (conformal mapping) Dr. A. Yousuff MEM/Drexel
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“Perfect Fluid” yousuff Aerodynamics 2 Consider inviscid, incompressible, irrotational field: : stream function : velocity potential 2 0  , u v x y    22 0   1 , r V  0 2 0 ,   1 ,  
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complex variable real (x) imag ( y ) r z=x+ i consider a function of z: ( ) ( ) ( , ) ( , ) w f z xiy xy ixy  2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 x   yousuff 3 Aerodynamics
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flows in terms of w= +i flow Complex representation Uniform, along x source doublet Nonlifting cylinder vortex lifting cylinder yousuff 4 Aerodynamics
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velocity components from w= +i consider dw / dz: dx dy i x y dz dxidy yousuff 5 Aerodynamics
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flows and shapes in = h(z) plane the flow field in z -plane is given by w(z) , with dw uiv dz  consider a transformation (mapping) = h(z) . Then, the velocity components in -plane
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This note was uploaded on 04/26/2011 for the course MEM 420 taught by Professor Ajamal during the Spring '11 term at Drexel.

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ConformalMap - MEM420 Aerodynamics(conformal mapping Dr A Yousuff MEM/Drexel Perfect Fluid Consider inviscid incompressible irrotational field

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