An extension of Martensen's method is described which permits an exact solution of the inverse or blade design problem. An equation is derived for the normal velocity distributed about a given contour when a given tangential velocity is imposed about the contour and from this normal velocity an initial arbitrarily chosen blade shape may be successively modified until a blade is found having a desired surface velocity distribution. Five examples of the method are given.
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References
1.
StanitzJ. D.‘Design of two-dimensional channels with prescribed velocity distribution along the channel walls’, N.A.C.A. Report1115, 1963.
PayneD.‘Isolated and cascade aerofoils’, M.Sc. (Maths) Thesis, University of London, 1964.
5.
MooreM. J.‘The theory and design of slotted blade cascades and their evaluation’, Ph.D. Thesis, University of Birmingham, 1965.
6.
Le FollJ.‘Theory of the representation of the properties of boundary layers on a plane’, Proc. Seminar on Advanced Problems in Turbomachinery1965 (Von Karman Institute).
7.
MooreM. J.RaillyJ. W.‘Design of slotted blades for a cascade’, Research Report No. 90, 1967 (Department of Mechanical Engineering, University of Birmingham).
8.
WilkinsonD. H.‘Numerical solution for the flow past one or more aerofoils or cascades’, A.R.C. Report No. 28941, 1967.
9.
WilkinsonD. H.‘Numerical solution of the design problem for one or more aerofoils or cascades’, A.R.C. Report No. 29183, 1967.
10.
MartensenE.‘Berechnung der Druckverteilung an Gitterprofilen in ebener Potentialstromung mit einder Fredholmschen Integralgleichung’, Arch. rotational Mechanics&Analysis19593, (No. 3), 235.
11.
JacobK.RiegelsF. W.‘Berechnung der Druckverteilung endlich dicker Profile ohne und mit Klappen und Vorflugeln’, Z. Flugwiss.196311, (9), 357.
12.
PalP.‘Untersuchungen über den Interferenzeinfluss bei Stromungen durch Tandem-Schaufelgitter’, Ing.-Arch.1965 (June).
