ConformalMap

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

This preview shows pages 1–10. Sign up to view the full content.

MEM420 Aerodynamics (conformal mapping) Dr. A. Yousuff MEM/Drexel

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
“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 ,  
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

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
flows in terms of w= +i flow Complex representation Uniform, along x source doublet Nonlifting cylinder vortex lifting cylinder yousuff 4 Aerodynamics
velocity components from w= +i consider dw / dz: dx dy i x y dz dxidy yousuff 5 Aerodynamics

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
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

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

## This note was uploaded on 04/26/2011 for the course MEM 420 taught by Professor Ajamal during the Spring '11 term at Drexel.

### Page1 / 10

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

This preview shows document pages 1 - 10. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online