Hostname: page-component-78c5997874-j824f Total loading time: 0 Render date: 2024-11-04T22:46:19.794Z Has data issue: false hasContentIssue false

Some observations of the subcritical transition in plane Poiseuille flow

Published online by Cambridge University Press:  20 April 2006

Michio Nishioka
Affiliation:
College of Engineering, University of Osaka Prefecture, Sakai, Osaka. Japan
Masahito Asai
Affiliation:
College of Engineering, University of Osaka Prefecture, Sakai, Osaka. Japan

Abstract

The subcritical transition in plane Poiseuille flow (generated in a long wind channel of rectangular cross-section) was studied experimentally. Cylinder-generated vortical disturbances were introduced into the parabolic flow (in the test section) or the inlet flow. The parabolic flow was also disturbed by a controlled periodic jet from a wall orifice. On the basis of the three kinds of observations, we come to the conclusion that the minimum transition Reynolds number is about 1000 and the related threshold intensity (of the external disturbance triggering the transition) is comparable to the maximum intensity of u-fluctuations in fully turbulent channel flows.

Type
Research Article
Copyright
© 1985 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

Carlson D. R., Widnall, S. E. & Peeters M. F.1982 A flow-visualization study of transition in plane Poiseuille flow. J. Fluid Mech. 121, 487505.Google Scholar
Davies, S. J. & White C. M.1928 An experimental study of the flow of water pipes of rectangular section Proc. R. Soc. Land. A 119, 92107.Google Scholar
Diprima, R. C. & Stuart J. T.1983 Hydrodynamic stability. Trans. ASMEE: J. Appl. Mech. 50, 983991.Google Scholar
Herbert T.1976 Periodic secondary motions in a plane channel. In Proc. 5th Intl Conf. on Numerical Methods in Fluid Dynamics (ed. A. I. Van de Vooren & P. J. Zandbergen). Lecture Notes in Physics, vol. 59. pp. 235240. Springer.
Herbert T.1981 Stability of plane Poiseuille flow—Theory and experiment. Dept. Engng Sci. Mech., Virginia Poly. and State Univ., Rep. VPI-E-81–35.Google Scholar
Herbert T.1983 Modes of secondary instability in plane Poiseuille flow. Proc. IUTAM Symp. on Turbulence and Chaotic Phenomena in Fluids, 1983, Kyoto, Japan.
Kozlov, V. V. & Ramazanov M. P.1980 Experimental investigation of the growth process of disturbances in plane Poiseuille flow. Preprint 21, Inst. Theor. Appl. Mech., AN SSSR SO, Novosibirsk.Google Scholar
Meksyn, D. & Stuart J. T.1951 Stability of viscous motion between parallel planes for finite disturbances Proc. R. Soc. Lond. A 208, 517526.Google Scholar
Morkovin M. V.1983 Understanding transition to turbulence in shear layers. Dept Mech. Aerosp. Engng, Illinois Inst. Tech., Chicago, Rep. AFOSR-FR-83.Google Scholar
Nishioka M., Asai, M. & Iida S.1980 An experimental investigation of secondary instability. In Proc. IUTAM Symp. on Laminar—Turbulent Transition (ed. R. Eppler & H. Fasel), pp. 3746. Springer.
Nishioka M., Iida, S. & Ichikawa Y.1975 An experimental investigation of the stability of plane Poiseuille flow. J. Fluid Mech. 72, 731751.Google Scholar
Orszag S. A.1971 Accurate solution of the Orr—Sommerfeld equation. J. Fluid Mech. 50, 689703.Google Scholar
Orszag, S. A. & Patera A. T.1983 Secondary instability of wall-bounded shear flows. J. Fluid Mech. 128, 347385.Google Scholar
Patel, V. C. & Head M. R.1969 Some observations in skin friction and velocity profiles in fully developed pipe and channel flows. J. Fluid Mech. 38, 181201.Google Scholar
Stuart J. T.1960 On the non-linear mechanics of wave disturbances in stable and unstable parallel flows. Part 1. J. Fluid Mech. 9, 353370.Google Scholar
Zahn J.-P., Toomre J., Spiegel, E. A. & Gough D. O.1974 Non-linear cellular motion in plane Poiseuille flow. J. Fluid Mech. 64, 319345.Google Scholar