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Oscillating Flow in Ducts of Arbitrary Cross 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 fluid along a duct of uniform cross section due to an oscillating pressure gradient has been considered by a number of investigators. The duct of circular cross .section has been treated by Richardson and Tyler and Sexl, the elliptic case by Khamrui, and the rectangular case by Drake and Fan and Chao. Recently Jeng has discussed the importance of this type of flow and has given a procedure for calculating a numerical solution for a duct of arbitrary cross-section. An interesting feature of these flows is that, at large frequencies when the flow is of boundary-layer type, the velocity at any instant has its maximum near the walls, the velocity overshooting its almost uniform distribution at the centre of the duct.

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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