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Article (Scientific journals)
Design Method for Subsonic and Transonic Cascade with Prescribed Mach Number Distribution
Léonard, Olivier; Van den Braembusche, René
1992In Journal of Turbomachinery, 114 (3), p. 553-560
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Keywords :
Turbomachine; design; Cascade; Subsonic flow; Transonic flow; Mach number; Boundary condition; Blades; Geometrical shape; Conception; Ecoulement subsonique; Ecoulement transsonique; Aubage; Nombre Mach; Condition aux limites; Forme géométrique
Abstract :
[en] An iterative procedure for blade design, using a time marching procedure to solve the unsteady Euler equations in the blade-to-blade plane, is presented. A flow solver, which performs the analysis of the flow field for a given geometry, is transformed into a design method. This is done by replacing the classical slip condition (no normal velocity component) by other boundary conditions, in such a way that the required pressure or Mach number distribution may be imposed directly on the blade. The unknowns are calculated on the blade wall using the so-called compatibility relations. Since the blade shape is not compatible with the required pressure distribution, a nonzero velocity component normal to the blade wall evolves from the new flow calculation. The blade geometry is then modified by resetting the wall parallel to the new flow field, using a transpiration technique, and the procedure is repeated until the calculated pressure distribution has converged to the required one. Examples for both subsonic and transonic flows are presented and show a rapid convergence to the geometry required for the desired Mach number distribution. An important advantage of the present method is the possibility to use the same code for the design and the analysis of a blade.
Disciplines :
Space science, astronomy & astrophysics
Aerospace & aeronautics engineering
Mathematics
Physics
Author, co-author :
Léonard, Olivier ;  Université de Liège - ULiège > Département d'aérospatiale et mécanique > Turbomachines et propulsion aérospatiale
Van den Braembusche, René;  von Karman Institute
Language :
English
Title :
Design Method for Subsonic and Transonic Cascade with Prescribed Mach Number Distribution
Publication date :
July 1992
Journal title :
Journal of Turbomachinery
ISSN :
0889-504X
eISSN :
1528-8900
Publisher :
American Society of Mechanical Engineers, New York, United States
Volume :
114
Issue :
3
Pages :
553-560
Peer reviewed :
Peer Reviewed verified by ORBi
Available on ORBi :
since 26 August 2009

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