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An Extension of the Schwarz‐Christoffel Theory with Applications to Two‐Dimensional Ideal Flow Hydrodynamics
Author(s) -
Owen D.
Publication year - 1984
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19840640204
Subject(s) - ideal (ethics) , extension (predicate logic) , christoffel symbols , flow (mathematics) , inverse , surface (topology) , mathematics , mathematical analysis , calculus (dental) , geometry , computer science , medicine , philosophy , dentistry , epistemology , programming language
In a previous paper a general theory for the inverse mapping of curves onto the real axis was developed. In the present paper we illustrate how this theory can be used to solve certain two‐dimensional hydrodynamical problems involving the direct flow of an ideal infinite liquid past almost any symmetrically shaped body, finite or semi‐infinite. Eleven bodies are examined and the corresponding surface speed distributions are calculated.