Hostname: page-component-76fb5796d-45l2p Total loading time: 0 Render date: 2024-04-26T08:26:19.785Z Has data issue: false hasContentIssue false
  • English
  • Français

High Reynolds number flows in exponential tubes of slow variation

Published online by Cambridge University Press:  19 April 2006

P. G. Daniels  and
P. M. Eagles
P. G. Daniels
Affiliation:
Department of Mathematics, The City University, St John Street, London EC1V 4PB
P. M. Eagles
Affiliation:
Department of Mathematics, The City University, St John Street, London EC1V 4PB
Get access Rights & Permissions [Opens in a new window]

Abstract

Axisymmetric high Reynolds number flows in tubes of slowly varying radius are shown to be governed to a first approximation and in suitable co-ordinates by a partial differential equation which, in a particular case, allows solutions independent of the streamwise co-ordinate. The solutions of the resulting ordinary differential equation give flows with inflexion points in the velocity profiles and reversed flow in some cases.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 90 , Issue 2 , 29 January 1979 , pp. 305 - 314
Copyright
© 1979 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Blasius, H. 1910 Z. Math. Phys. 58, 225.
Davey, A. & Nguyen, H. P. F. 1971 J. Fluid Mech. 45, 191.
Fraenkel, L. E. 1962 Proc. Roy. Soc. A 267, 119.
Fraenkel, L. E. 1963 Proc. Roy. Soc. A 272, 406.
Goldstein, S. (ed.) 1943 Modern Developments in Fluid Dynamics. Oxford University Press.
Manton, M. J. 1971 J. Fluid Mech. 49, 451.
Smith, F. T. 1976 Quart. J. Mech. Appl. Math. 29, 344.
Tanner, R. & Linnet, I. 1965 2nd Austral. Conf. Hydraul. Fluid Mech. Rep. A 159.