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

Author:

Fujii S.

Abstract

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.

Publisher

Cambridge University Press (CUP)

Reference12 articles.

1. 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).

2. The Compressible Flow Through Cascade Actuator Discs

3. The Flow of a Perfect Fluid Through an Axial Turbomachine with Prescribed Blade Loading

4. Shear flows in straight-sided nozzles and diffusers

5. Horlock J. H. Some Actuator-Disc Theories for the Flow of Air Through an Axial Turbo-Machine. R and M No 3030, December 1952.

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