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Compressible Shear Flows in the Duct with Varying Cross-Sectional Area

Published online by Cambridge University Press:  04 July 2016

S. Fujii
S. Fujii*
Affiliation:
National Aerospace Laboratory, Japan
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Summary:

The basic theory of the compressible non-swirling rotational flows through ducts with varying hub radii, associated with the concept of actuator discs, is described. The problem is simplified by considering a single-parameter in the radial velocity profile. Particular attention is given to the combined effects of the taper of inside walls and also of compressibility on the radial velocity and the axial velocity profile. The derived ordinary differential equation with non-homogeneous terms can be reduced to the well-known formula of classical actuator disc theories for the cylindrical passage. A numerical example is also presented.

Type
Technical Notes
Information
The Aeronautical Journal , Volume 71 , Issue 674 , February 1967 , pp. 128 - 132
Copyright
Copyright © Royal Aeronautical Society 1967

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References

1.Bragg, S. L. and Hawthorne, W. R.Some Exact Solutions of the Flow Through Annular Cascade Actuator Discs. J Ae Sc, Vol 17, p 243, April 1950.CrossRefGoogle Scholar
2.Marble, F. E.The Flow of a Perfect Fluid Through an Axial Turbomachine with Prescribed Blade Loading. J Ae Sc, Vol 15, p 473, August 1948.CrossRefGoogle Scholar
3.Horlock, J. H. Some Actuator-Disc Theories for the Flow of Air Through an Axial Turbo-Machine. R and M No 3030, December 1952.Google Scholar
4.Whitehead, D. S. and Beavers, G. S. A Single-Parameter Theory of Vortex Flow in Turbo-Machines. R and M No 3335, August 1961.Google Scholar
5.Horlock, J. H.The Compressible Flow Through Cascade Actuator Discs. Aeronautical Quarterly, Vol 9, p 110, May 1958.Google Scholar
6.Horlock, J. H. and Lewis, R. I.Shear Flows in Straight-Sided Nozzles and Diffusers. lnt J of Mech Sci, Vol 2, p 251, April 1961.Google Scholar
7.Lewis, R. I. and Horlock, J. H.Non-Uniform Three-Dimensional and Swirling Flows Through Diverging Ducts and Turbo-Machines. Int J of Mech Sci, Vol 3, p 170, November 1961.Google Scholar
8.Lewis, R. I.A Theoretical Investigation of the Rotational Flow of Incompressible Fluids Through Axial Turbo-Machines with Tapered Annulus Walls. Int J of Mech Sci, Vol 6, p 51, February 1964.Google Scholar
9.Crocco, von L. Eine neue Stromfunktion fiir die Erforschung der Bewegung der Gase mit Rotation. Zeitschrift für Angewandte Mathematik und Mechanik, Band 17, Heft 1, Seite 1, February 1937.Google Scholar
10.Yeh, H.The Development of Cascade Profiles for High Subsonic Potential Flows. J Ae Sc, Vol 19, p 630, September 1952.Google Scholar
11.Lin, C. C.On the Subsonic Flow through Circular and Straight Lattices of Airfoils. J Math Phys, Vol 28, July 1949.Google Scholar
12.Fujii, S. A Theoretical Investigation of the Compressible Flow Through the Axial Turbo-Machines (2nd Report) Proceedings of the 15th Japan National Congress for Applied Mechanics (to be published).Google Scholar