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URN:
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http://URN.fi/URN:NBN:fi:tty-201205161130
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Title:
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Quaternions in Joukowski Transformation |
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Author:
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Jeyabalan, Simon |
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Publication type:
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Diplomityö |
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Issue date:
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2011-12-07 |
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University:
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Tampereen teknillinen yliopisto - Tampere University of Technology |
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Faculty:
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Luonnontieteiden ja ympäristötekniikan tiedekunta – Faculty of Science and Environmental Engineering |
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Department:
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Matematiikan laitos – Department of Mathematics |
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Abstract:
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Conformal mappings have been exploited for a long time in a number of physical problems arising in aerodynamics, thermal equilibrium, electrostatics, fluid flow and so on. These complex-valued functions are implemented with just a single complex variable z. However, in this study, quaternions are introduced into a Joukowski transformation, a conformal map used in the study of fluid flow around airfoils. Analysis is effected so as to determine the properties of this transformation function and spheres of both Euclidean and hyperbolic geometry are executed in this expedition. |
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Copyright:
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This publication is copyrighted. You may download, display and print it for Your own personal use. Commercial use is prohibited. |