An extension of the Schwarz-Christoffel theory with applications to two-dimensional ideal flow hydrodynamics
Abstract
Ideal infinite 2D hydrodynamic flows over finite and semiinfinite symmetrical bodies are investigated analytically using the inverse-mapping theory, based on the Schwarz-Christoffel 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 surface-speed-distribution 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;
- Schwarz-Christoffel Transformation;
- Symmetrical Bodies;
- Two Dimensional Flow;
- Velocity Distribution;
- Fluid Mechanics and Heat Transfer