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Computation of plane potential flow past multi-element airfoils using conformal mapping, revisited
Sahraei, Saman
Sahraei, Saman
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2018-05
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Abstract
Calculations of potential
ow and pressure over multi-element airfoils are studied, using
conformal maps. A composition of classical Karman-Tre tz maps is used to smooth out the
trailing edge corners successively, from each of the m airfoils, producing a multiply connected
domain with nearly circular boundaries. A Fourier/Laurent series method is then used to
map a domain exterior to nonoverlapping disks to the exterior of the domain with smooth
boundaries. The computations of potential
ow and pressure are done in the domain with
circular boundaries and then carried over to the physical space, using the conformal maps.
In practice, this technique can be used as a rst approximation to the solution in more
complicated airfoil con gurations.
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Thesis (Ph.D.)-- Wichita State University, College of Liberal Arts and Sciences, Dept. of Mathematics, Statistics and Physics
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Wichita State University
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Copyright 2018 by Saman Sahraei
All Rights Reserved