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Oscillating Flow in Ducts of ArbitraryCross Section

Published online by Cambridge University Press:  04 July 2016

A. M. Abu-Sitta and
D. G. Drake
A. M. Abu-Sitta
Affiliation:
Department of Mathematics, The University, Southampton
D. G. Drake
Affiliation:
Department of Mathematics, The University, Southampton
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Extract

The rectilinear flow of an incompressible viscous fluidalong a duct of uniform cross section due to anoscillating pressure gradient has been considered bya number of investigators. The duct of circularcross .section has been treated by Richardson andTyler and Sexl, the elliptic case by Khamrui, andthe rectangular case by Drake and Fan and Chao.Recently Jeng has discussed the importance of thistype of flow and has given a procedure forcalculating a numerical solution for a duct ofarbitrary cross-section. An interesting feature ofthese flows is that, at large frequencies when theflow is of boundary-layer type, the velocity at anyinstant has its maximum near the walls, the velocityovershooting its almost uniform distribution at thecentre of the duct.

Information

Type
Technical Notes
Information
The Aeronautical Journal , Volume 73 , Issue 706 , October 1969, pp. 894 - 896
Copyright
Copyright © Royal Aeronautical Society 1969 

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References

1. Richardson, E. G. and Tyler, E. The Transverse Velocity Gradient Near the Mouth of Pipes in Which an Alternating or Continuous Flow of Air is Established. Proc Phys Soc Lond, Vol 42, p 1, 1929.Google Scholar
2. Sexl, T. Über den von, E. G. Richardson Entdeckten Annulareffekt. Z Phys, Vol 61, p 349, 1930.Google Scholar
3. Khamrui, S. R. On Flow of a Viscous Liquid Through a Tube of Elliptic Section Under the Influence of a Periodic Pressure Gradient. Bull Calcutta Math Soc, Vol 49, p 57, 1957.Google Scholar
4. Drake, D. G. On the Flow in a Channel Due to a Periodic Pressure Gradient. QJMAM, Vol 18, p 1, 1965.Google Scholar
5. Fan, C. and Chao, B-T. Unsteady Laminar Incompressible Flow Through a Rectangular Duct. ZAMP, Vol 16, p 351, 1965.Google Scholar
6. Jeng, D. R. Calculation of Unsteady Flow in Ducts of Arbitrary Shape by the Point-Matching Method. J Appl Mechs, Vol 34, p 764, 1967.Google Scholar
7. Batchelor, G. K. The Skin-Friction on Infinite Cylinders Moving Parallel to Their Length. QJMAM, Vol 7, p 179, 1954.Google Scholar
8. Cooke, J. C. On Rayleigh's Problem for a General Cylinder. J Phys Soc Japan, Vol 11, p 1181, 1956.Google Scholar
9. Hasimoto, H. Rayleigh's Problem for a Cylinder of Arbitrary Shape. J Phys Soc Japan, Vol 9, p 611, 1954.Google Scholar
10. Hasimoto, H. Rayleigh's Problem for a Cylinder of Arbitrary Shape II. J Phys Soc Japan, Vol 10, p 397, 1955.Google Scholar
11. Sowerby, L. The Unsteady Flow of Viscous Incompressible Fluid Inside an Infinite Channel. Phil Mag, Vol 6, p 50, 1953.Google Scholar
12. Carslaw, H. S. and Jaegar, J. C. Conduction of Heat in Solids, p 419, Oxford, 1959.Google Scholar