Design of axisymmetric channels with rotational flows

Koumandakis, M; Dedoussis, V; Chaviaropoulos, P; Papailiou, KD

dc.contributor.author	Koumandakis, M	en
dc.contributor.author	Dedoussis, V	en
dc.contributor.author	Chaviaropoulos, P	en
dc.contributor.author	Papailiou, KD	en
dc.date.accessioned	2014-03-01T01:09:50Z
dc.date.available	2014-03-01T01:09:50Z
dc.date.issued	1994	en
dc.identifier.issn	0748-4658	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/11199
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0028495236&partnerID=40&md5=612e6a4f7e1babea8cdb6f1fc80e3b11	en
dc.subject.classification	Engineering, Aerospace	en
dc.subject.other	Aerodynamics	en
dc.subject.other	Axial flow turbomachinery	en
dc.subject.other	Channel flow	en
dc.subject.other	Ducts	en
dc.subject.other	Intake systems	en
dc.subject.other	Inverse problems	en
dc.subject.other	Iterative methods	en
dc.subject.other	Mathematical transformations	en
dc.subject.other	Rotational flow	en
dc.subject.other	Vectors	en
dc.subject.other	Velocity	en
dc.subject.other	Axisymmetric channels	en
dc.subject.other	Clebsch transformation	en
dc.subject.other	Potential function/stream function formulation	en
dc.subject.other	Airfoils	en
dc.title	Design of axisymmetric channels with rotational flows	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	1994	en
heal.abstract	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
heal.publisher	AIAA, Washington, DC, United States	en
heal.journalName	Journal of Propulsion and Power	en
dc.identifier.isi	ISI:A1994PG53600019	en
dc.identifier.volume	10	en
dc.identifier.issue	5	en
dc.identifier.spage	729	en
dc.identifier.epage	735	en