An extension of the SchwarzChristoffel theory with applications to twodimensional ideal flow hydrodynamics
Abstract
Ideal infinite 2D hydrodynamic flows over finite and semiinfinite symmetrical bodies are investigated analytically using the inversemapping theory, based on the SchwarzChristoffel formula, of Owen et al. (1981). The transformation formula of a general symmetric mound is derived; shape functions, lengths, and widths are obtained for several mound types and used to analyze the flow problem for finite symmetrical bodies based on them; and transformations of the mounds into semiinfinite bodies are developed and applied. The results of surfacespeeddistribution calculations are presented graphically and discussed.
 Publication:

Zeitschrift Angewandte Mathematik und Mechanik
 Pub Date:
 1984
 DOI:
 10.1002/zamm.19840640204
 Bibcode:
 1984ZaMM...64...91O
 Keywords:

 Computational Fluid Dynamics;
 Hydrodynamics;
 Ideal Fluids;
 SchwarzChristoffel Transformation;
 Symmetrical Bodies;
 Two Dimensional Flow;
 Velocity Distribution;
 Fluid Mechanics and Heat Transfer