scholarly journals Determination of : a conformal mapping approach

2011 ◽  
Vol 218 (1) ◽  
pp. 128-133 ◽  
Author(s):  
Irinel Caprini ◽  
Jan Fischer
Keyword(s):  
Conformal Mapping ◽  
Mapping Approach

A conformal mapping approach to the blunt body problem.

AIAA Journal ◽  
1967 ◽  
Vol 5 (11) ◽  
pp. 2047-2048 ◽  
Author(s):  
HENRY S. SANEMATSU ◽  
ROBERT L. CHAPKIS
Keyword(s):  
Conformal Mapping ◽  
Body Problem ◽  
Blunt Body ◽  
Mapping Approach

scholarly journals A conformal mapping approach to a root-clustering problem

2014 ◽  
Vol 570 (2) ◽  
pp. 022004 ◽  
Author(s):  
Gennady I Melnikov ◽  
Nataly A Dudarenko ◽  
Vitaly G Melnikov
Keyword(s):  
Conformal Mapping ◽  
Clustering Problem ◽  
Mapping Approach

Calculating the lift on a finite stack of cylindrical aerofoils

2006 ◽  
Vol 462 (2069) ◽  
pp. 1387-1407 ◽  
Author(s):  
Darren Crowdy
Keyword(s):  
Exact Solution ◽  
Conformal Mapping ◽  
Complex Potential ◽  
Analytical Form ◽  
Image Region ◽  
Complete Determination ◽  
The Individual ◽  
Special Case ◽  
Streaming Flow

The classic exact solution due to Lagally (Lagally, M. 1929 Die reibungslose strömung im aussengebiet zweier kreise. Z. Angew. Math. Mech . 9 , 299–305.) for streaming flow past two cylindrical aerofoils (or obstacles) is generalized to the case of an arbitrary finite number of cylindrical aerofoils. Given the geometry of the aerofoils, the speed and direction of the oncoming uniform flow and the individual round-aerofoil circulations, the complex potential associated with the flow is found in analytical form in a parametric pre-image region that can be conformally mapped to the fluid region. A complete determination of the flow then follows from knowledge of the conformal mapping between the two regions. In the special case where the aerofoils are all circular, the conformal mapping from the parametric pre-image region to the fluid domain is a Möbius mapping. The solution for the complex potential in such a case can then be used, in combination with the Blasius theorem, to compute the distribution of hydrodynamic forces on the multi-aerofoil configuration.

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