Hostname: page-component-78c5997874-lj6df Total loading time: 0 Render date: 2024-11-09T07:27:40.205Z Has data issue: false hasContentIssue false

A note on the stability of developing laminar pipe flow subjected to axisymmetric and non-axisymmetric disturbances

Published online by Cambridge University Press:  29 March 2006

Turgut Sarpkaya
Affiliation:
Department of Mechanical Engineering, Naval Postgraduate School, Monterey, California 93940

Abstract

This paper presents a summary of the results of an extensive experimental investigation of the problem considered by Tatsumi (1952a, b) and more recently by Huang & Chen (1974a, b). The results, like the analyses, show that the linear instability is confined to the non-similar inlet region of the pipe.

Type
Research Article
Copyright
© 1975 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

Corcos, G. M. & Sellars, J. R. 1959 On the stability of fully developed flow in a pipe. J. Fluid Mech. 5, 97.Google Scholar
FAN, L. T. & Hwang, C. L. 1966 Bibliography of hydrodynamic entrance region flow. Kansas State University Bull. vol. 50, no. 3. (Special Rep. no. 67.)Google Scholar
Garg, V. K. & Rouleau, W. T. 1972 Linear spatial stability of pipe Poiseuille flow. J. Fluid Mech. 54, 113.Google Scholar
Gaster, M. 1962 A note on the relation between temporally-increasing and spatially-increasing disturbances in hydrodynamic stability. J. Fluid Mech. 14, 222.Google Scholar
Gaster, M. 1965 On the generation of spatially growing waves in a boundary layer. J. Fluid Mech. 22, 433.Google Scholar
Huang, L. M. & Chen, T. S. 1974a Stability of developing pipe flow subjected t o non-axisymmetric disturbances. J. Fluid Mech. 63, 183.Google Scholar
Huanu, L. M. & Chen, T. S. 1974b Stability of the developing laminar pipe flow. Phys. Fluids, 17, 245.Google Scholar
Langhaar, H. L. 1940 Steady flow in the transition length of a cylindrical conduit. Ph.D. thesis, Lehigh University.
Leite, R. J. 1959 An experimental investigation of the stability of Poiseuille flow. J. Fluid Mech. 5, 81.Google Scholar
Lindgren, E. R. 1957 The transition process and other phenomena in viscous flow. Arkiv Pysik, Stockholm, 12, 1.Google Scholar
Mackrodt, P. A. 1971 Stabilität von Hagen-Poiseuille Stromungen mit überlagerter starrer Rotation. Ph.D. thesis, University of Göttingen.
Sarpeaya, T. 1966a Experimental determination of the critical Reynolds number for pulsating Poiseuille flow. J. Basic Engng, Trans. A.S.M.E. 88, 589.Google Scholar
Sarpkaya, T. 1966b Evolution of small disturbances in the laminar transition region of Hagen-Poiseuille flow. Ann. Rep. Nat. Sci. Found., NU Hydro-Rep. no. 027-TS.Google Scholar
Sexl, T. & Spielberg, K. 1958 Zum Stabilitätsproblem der Poiseuille-Strömung. Acta Phys. Austriaca, 12, 9.Google Scholar
Sparrow, E. M., LIN, S. H. & Lundgren, T. S. 1964 Flow development in the hydro-dynamic entrance region of tubes and ducts. Phys. Fluids, 7, 338.Google Scholar
Squire, H. B. 1933 On the stability for three-dimensional disturbances of viscous fluid flow between parallel walls. Proc. Roy. Soc. A 142, 621.Google Scholar
Tatsumi, T. 1952a Stability of the laminar inlet-flow prior to the formation of Poiseuille regime. I. J. Phys. Soc. Japan, 7, 489.Google Scholar
Tatsumi, T. 1952b Stability of the laminar inlet-flow prior to the formation of Poiseuille regime. I. J. Phys. Soc. Japan, 7, 495.Google Scholar
Watson, J. 1962 On spatially-growing finite disturbances in plane Poiseuille flow. J. Fluid Mech. 14, 211.Google Scholar
Wygnanski, I. J. & Champaune, F. H. 1973 On transition in a pipe. Part 1. The origin of puffs and slugs and the flow in a turbulent slug. J. Fluid Mech. 59, 281.Google Scholar