1984
DOI: 10.1115/1.3239571
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Theory of Blade Design for Large Deflections: Part I—Two-Dimensional Cascade

Abstract: As a step in the development of an analytical method for designing highly loaded, three-dimensional blade profiles for axial compressors and turbines, a simple two-dimensional method was first investigated. The fluid is assumed to be incompressible and inviscid, the blades of negligible thickness, and the mean tangential velocity is prescribed. The blades are represented by a distributed bound vorticity whose strength is determined by the prescribed tangential velocity. The velocity induced by the bound vortic… Show more

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Cited by 74 publications
(112 citation statements)
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“…This approach was first proposed by Hawthorne et al [3] and later extended to 3D applications by Borges [4], Dang [5,6] and Zangeneh [7]. This choice of prescribed condition not only removes the difficulties associated with the 'existence problem', but also ensures, to some …”
Section: Introductionmentioning
confidence: 96%
“…This approach was first proposed by Hawthorne et al [3] and later extended to 3D applications by Borges [4], Dang [5,6] and Zangeneh [7]. This choice of prescribed condition not only removes the difficulties associated with the 'existence problem', but also ensures, to some …”
Section: Introductionmentioning
confidence: 96%
“…They were limited to shock-free irrotational flows and/or were difficult to extend to three-dimensions (Lighthill, 1945;Hawthorne et al, 1984). Several authors proposed iterative methods in which a geometry modification algorithm, based on the potential flow equations, is combined with an Euler or Navier-Stokes flow solver.…”
Section: Introductionmentioning
confidence: 98%
“…Ecer and Akay (1983) used Clebsch transformations to simulate turbomachinery flows while Adamczyk (1985a, 1985b) investigated the secondary flow in a turning channel by coupling a Clebsch transformation to the MunkPrim substitution principle. Even the inverse design methods of Hawthorne et al, (1984) and Dang and McCune (1984) were based on Clebsch transformations. Although these and many other simulations were made tractable through a Clebsch decomposition, their application to unsteady flow has still not been widely exploited.…”
Section: J Introductionmentioning
confidence: 99%