Koumandakis, MPapailiou, KDChaviaropoulos, PDedoussis, VThe 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.http://hdl.handle.net/123456789/11199ISI:A1994PG5360001957350748-465872910engAIAA, Washington, DC, United StatesJournal of Propulsion and PowerDuctsMathematical transformationsAerodynamicsAirfoilsVectorsIntake systemsRotational flowVelocityInverse problemsAxial flow turbomachineryPotential function/stream function formulationAxisymmetric channelsChannel flowIterative methodsClebsch transformationDesign of axisymmetric channels with rotational flowsjournalArticle1994Δημοσίευση σε περιοδικόPublication in journalΑεροδιαστημική μηχανικήAerospace Engineeringisi - Engineering, Aerospace includes resources concerned with astronautics, aeronautics, aerospace, and aviation. Topics covered include the design and construction of aircraft, space vehicles, missiles, satellites, instrumentation, and power units, as well as the launch, flight, and guidance of crafts in the earth's atmosphere or in space. Resources in this category draw from many fields, including mechanics and mechanical engineering, automation, instrumentation, and materials science.Επιστημονικό άρθροScientific articleΕθνικό Μετσόβιο ΠολυτεχνείοGreek Aggregator OpenArchives.gr | National Documentation Centre (EKT)other