Hostname: page-component-6bf8c574d5-t27h7 Total loading time: 0 Render date: 2025-03-01T19:32:33.814Z Has data issue: false hasContentIssue false
  • English
  • Français

Another look at unidirectional turbulent flow

Published online by Cambridge University Press:  26 April 2006

A. J. Reynolds  and
K. Wieghardt
A. J. Reynolds
Affiliation:
Brunel University, Uxbridge, Middlesex, UB8 3PH, UK
K. Wieghardt
Affiliation:
Formerly of Institut für Schiffbau der Universität Hamburg
Get access Rights & Permissions [Opens in a new window]

Abstract

Here we consider the mean velocity profile in the core region of a unidirectional turbulent flow, that is, a flow in which the turbulent motion is superposed upon parallel time-averaged streamlines. A kinematical variational principle, originally developed for three-dimensional free-turbulent motions, is shown to be applicable to significant parts of the velocity profiles for flows of both Couette and Poiseuille types. In addition to pure plane Couette and pure plane Poiseuille flows, the motions considered include a variety of admixtures produced by blowing through a wide flat channel one of whose walls comprises a belt which moves either in the direction of the blowing or counter to it.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 287 , 25 March 1995 , pp. 75 - 92
Copyright
© 1995 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

Coles, D. E. & Hirst, E. A. (Eds) 1968 Proc. Computation of Turbulent Boundary Layers, Vol. II. Stanford University.
El Telbany, M. M. M. & Reynolds, A. J. 1980 Velocity distributions in turbulent channel flows. J. Fluid Mech. 100, 1–29.Google Scholar
El Telbany, M. M. M. & Reynolds, A. J. 1981 Turbulence in plane channel flows. J. Fluid Mech. 111, 283–318.Google Scholar
El Telbany, M. M. M. & Reynolds, A. J. 1982 The empirical description of turbulent channel flows. Intl J. Heat Mass Transfer 25, 77–86.Google Scholar
Görtler, H. & Wieghardt, K. 1942 Über eine gewisse Klasse von Strömungen zäher Flüssigkeiten und eine Kennzeichnung der Poiseuille-Strömung. Math. Z. 48, 247.Google Scholar
Helmholtz, H. 1868 Zur Theorie der stationären Ströme in reibenden Flüssigkeiten. Verh. des naturhist.-med. Vereins.
Knaack, Th. 1992 Untersuchungen der Struktur des Reynolds-Tensorfeldes in einer drei- dimensionalen Strömung. Diss. Hamburg, Inst. für Schiffbau, Bericht 527.
Rayleigh, Lord 1913 On the motion of a viscous fluid. Phil. Mag. XXVI, 776.Google Scholar
Schneider, W. 1989 On modelling the transport of turbulent kinetic energy in Couette Flow. Z. Angew. Math. Mech. 69, 627–629.Google Scholar
Wieghardt, K. 1990 On a characteristic of three-dimensional free turbulence. 12th Georg Weinblum Memorial Lecture, Schiffstechnik 37, Sonderdruck, pp. 35–46.
Wieghardt, K. 1991 Zum Aussengesetz inkompressibler, turbulenter Grenzschichten. Z. Flugwiss. Weltraumforsch. 15, 319–322.Google Scholar