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The cylinder in the wind tunnel, revisited
Author(s) -
Habashi Wagdi G.,
Kotiuga Peter L.
Publication year - 1984
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620200707
Subject(s) - cylinder , wind tunnel , mach number , potential flow around a circular cylinder , hypersonic wind tunnel , exact solutions in general relativity , potential flow , flow (mathematics) , radius , mathematics , compressible flow , mechanics , stagnation point , point (geometry) , compressibility , geometry , mathematical analysis , physics , open channel flow , computer science , heat transfer , computer security
Analytical comparative solutions are often needed to assess the accuracy of proposed elements or proposed iterative schemes for potential flow numerical calculations. Traditionally, the flow over a circular cylinder, placed in a wind tunnel, has served for such a test and the results compared to what is thought to be an exact solution. We point out here that there is no exact solution for the flow over a circular cylinder in a wind tunnel, for practical values of wind tunnel height to cylinder radius, but that an exact solution can only be found for the flow over an oval cylinder. We derive that exact solution and provide numerical comparisons, using triangular elements, with both the stream function and the velocity potential for the incompressible case. In addition, numerical results for compressible flows up to critical Mach number are presented.