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Design of axisymmetric channels with rotational flows

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Εθνικό Μετσόβιο Πολυτεχνείο   

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Design of axisymmetric channels with rotational flows (EN)
Koumandakis, M (EN)
Papailiou, KD (EN)
Chaviaropoulos, P (EN)
Dedoussis, V (EN)
journalArticle (EN)
2014-03-01T01:09:50Z
1994 (EN)
The purpose of this article is to present an inverse subsonic inviscid method for the design of axisymmetric channels, with rotational flow. The rotational character of the flow is due to prescribed total enthalpy, entropy, and/or swirl gradients along the inlet of the channel. The method is based on a potential function/stream function formulation. The Clebsch transformation is employed to decompose the meridional velocity vector into a potential and a rotational part. The rotational part is shown to be proportional to the total enthalpy gradient, the coefficient of proportionality being the drift function. A body-fitted coordinate transformation is employed to map the sought boundaries on the (phi, psi) space. The governing equation for the magnitude of the meridional velocity component is derived by treating the inverse problem on the (phi, psi) space as a purely geometric one, employing differential geometry principles. The (meridional) velocity equation is coupled in a nonlinear manner with a transport equation for the drift function and with the geometry via the radial coordinate. The integration of the governing equations is performed on an auxiliary computational grid using a simple iterative scheme. The geometry, in particular, is determined by integrating Frenet equations along the grid lines. The present design method has been applied successfully to the ''reproduction'' of two ''real-life'' geometries concerning the annular duct of a two-stage axial compressor as well as a radial one. (EN)
Engineering, Aerospace (EN)
Ducts (EN)
Mathematical transformations (EN)
Aerodynamics (EN)
Airfoils (EN)
Vectors (EN)
Intake systems (EN)
Rotational flow (EN)
Velocity (EN)
Inverse problems (EN)
Axial flow turbomachinery (EN)
Potential function/stream function formulation (EN)
Axisymmetric channels (EN)
Channel flow (EN)
Iterative methods (EN)
Clebsch transformation (EN)
Journal of Propulsion and Power (EN)
English
AIAA, Washington, DC, United States (EN)
Εθνικό Μετσόβιο Πολυτεχνείο
Ψηφιακό Αποθετήριο της Κεντρικής Βιβλιοθήκης του ΕΜΠ | Dspace@NTUA
Κεντρική Βιβλιοθήκη Ε.Μ.Π.
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