Hostname: page-component-76fb5796d-x4r87 Total loading time: 0 Render date: 2024-04-28T19:10:18.583Z Has data issue: false hasContentIssue false

Influence of weak wall undulations on the structure of turbulent pipe flow: an experimental and numerical study

Published online by Cambridge University Press:  20 April 2006

M. P. Chauve
Affiliation:
Institut de Mécanique Statistique de la Turbulence, 12 Avenue GéneAral Leclerc, 13003 Marseille, France
R. Schiestel
Affiliation:
Institut de Mécanique Statistique de la Turbulence, 12 Avenue GéneAral Leclerc, 13003 Marseille, France

Abstract

The influence of weak periodic wall undulations on the structure of turbulent pipe flow has been studied in three ways: measurements in air flow using pressure probes and hot-wire techniques, visualizations in water flow and numerical predictions based on a turbulence (k-ε) model. The flows at Reynolds numbers of 30000 and 115000 have been particularly investigated. The flow characteristics proved to be very different from those observed in a straight pipe. Calculations and experiments agree well for the mean- and turbulent-energy fields; however the detailed behaviour of some local quantities such as anisotropy of the Reynolds stress is not well predicted particularly in the crest region. So the performances and the limitations of classical closure have been appraised. The existence of an unsteady reverse-flow region downstream of every crest suggested by measurements and calculations has been clearly confirmed by visualizations in water flow.

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

Alcaraz, E. 1977 Contribution à l'étude d'un jet plan turbulent évoluant le long d'une paroi convexe à faible courbure. Thèse Doct. Es. Sc. Ph. Phys. University Claude Bernard, Lyon, France.
Amsden, A. A. & Harlow, F. H. 1970 Los Alamos Scient. Lab. Rep. LA 4370, University of California.
Antonia, R. A., Chambers, A. J. & Hussain, A. K. M. F. 1980 Phys. Fluids 23, 821824.
Bradshaw, P. 1969 J. Fluid Mech, 36, 177191.
Bradshaw, P. 1973 Agardograph 169.
Britter, R. E., Hunt, J. C. R. & Richards, K. J. 1981 Q. J. R. Met. Soc. 107, 91110.
Brun, E. A., Martinot-Lagarde, A. & Mathieu, J. 1968 Mécanique des Fluides. Paris: Dunod.
Chauve, M. P. 1980 Euromech Colloquium 132, Lyon, France, July 2–4.
Chauve, M. P. 1981 Etude expérimentale d'un écoulement turbulent en conduite axisymétrique a paroi poreuse ondulée. Thèse Doct. Es. Sc. Phys. University Aix Marseille II, France.
Chauve, M. P. & Schiestel, R. 1981 Third Symp. on Turbulent Shear Flows, Univ. of Calif. Davis, Sept. 9–11, 1981.
Deshpande, M. D. & Giddens, D. P. 1980 J. Fluid Mech. 97, 6589.
Di Prima, R. C. & Swinney, H. L. 1981 In Topics in Applied Physics, vol. 45 (ed. H. L. Swinney & J. P. Gollub), pp. 139180. Springer.
Eaton, J. K. & Johnston, J. P. 1981 AIAA J. 19, 10931100.
Eaton, J. K., Johnston, J. P. & Jeans, A. H. 1979 2nd Symp. on Turbulent Shear Flows, Imp. Coll. London, July 2–4, 1979.
Elena, M. 1977 Etude des structures dynamiques et thermiques d'un écoulement turbulent en conduite avec aspiration à la paroi. Thèse Doct. Es. Sc. Phys. University Aix-Marseille, France, and rapport CEA 1977 R. 4843.
Fulachier, L. 1972 Contribution à l'etude des analogies des champs dynamique et thermique dans une couche limite turbulente. Effet de l'aspiration. Thèse Doct. Es. Sc. Phys. Univ. de Provence, France.
Gent, P. R. & Taylor, P. A. 1976 J. Fluid Mech 77, 105128.
Gosman, A. D., Khalil, E. E. & Whitelaw, J. H. 1977 Proc. Symp. on Turbulent Shear Flows. Univ. Park, Pennsylvania, April 18–20, 1977, pp. 1335.
Hanratty, T. J., Abrams, J. & Frederick, K. A. 1983 I.U.T.A.M. Symp. on Structure of complex turbulent shear flow, Marseille, France, (ed. R. Dumas & L. Fulachier). Springer.
Hinze, J. O. 1975 Turbulence (2nd edn) McGraw Hill.
Hsu, T. S. & Kennedy, J. F., 1971, J. Fluid mech. 47, 481502.
Hunt, I. A. & Joubert, P. N. 1979 J. Fluid Mech. 91, 633659.
Jackson, P. S. & Hunt, J. C. R. 1975 Q. J. R. Met. Soc. 101, 929955.
Jones, W. P. & Launder, B. E. 1972 Intl J. Heat Mass Transfer 15, 301313.
Jones, W. P. & Launder, B. E. 1973 Intl J. Heat Mass Transfer 16, 11191129.
Kantorovich, L. V. & Krylov, V. I. 1964 Approximate Methods of Higher Analysis. Interscience.
Khabakpasheva, E. M., Yefimenko, G. N. & Gruzdeva, I. M. 1978 Fluid Mech. Soviet Res. 7, 3761.
Kuehn, D. M. 1980 AIAA. J. 18, 343344.
Laufer, J., 1954 NACA Rep. 1174.
Launder, B. E. 1975 I.V.K. Lect. Ser. 76 on Prediction methods for turbulent flows.
Lee, J. S. & Fung, Y. C. 1970 Trans. ASME E: J. Appl. Mech. 37, 916.Google Scholar
Mcdonald, H. 1969 J. Fluid Mech. 35, 311336.
Mclean, J. W. 1983 Phys. Fluids 26, 20652073.
Macagno, E. O. & Hung, T. K. 1967 J. Fluid Mech. 28, 4364.
Markatos, N. C. G. 1978 Comput. Meth in Appl. Mech. and Engng 14, 323376.
Mellor, G. L. 1966 J. Fluid Mech. 24, 255274.
Mueller, T. J., Korst, H. H. & Chow, W. L. 1964 Trans. ASME D: J. Basic Engng 86, 221226.Google Scholar
Nikuradse, J. 1929 Quoted in GOLDSTEIN, S., vol. II, Clarendon Press, 1957.
Oberkampf, W. L. & Goh, S. C. 1974 In Proc. Intl Conf. on Comput. Meth. in Nonlinear Mechanics, Austin, Sept. 1974, pp. 569579.
Okwuobi, P. A. C. & Azad, R. S. 1973 J. Fluid Mech. 57, 603622.
Patankar, S. V. 1980 Numerical Heat Transfer and Fluid Flow. Hemisphere.
Perry, A. E. & Fairlie, B. O. 1975 J. Fluid Mech. 69, 657672.
Pun, W. M. & Spalding, D. B. 1977 Imp. Coll. HTS Rep. 76/2.
Rodi, W. & Scheuerer, G. 1983 Fourth Symp. on Turbulent Shear Flows, Karlsruhe, F. R. Germany.
Schiestel, R. 1979 In Rapport CEA/IMST, Contrat SA 8323 and Not. Interne I.M.S.T.
Schiestel, R. & Chauve, M. P. 1982 Intl J. Heat Mass Transfer 25, 18951904.
Smits, A. J., Baskaran, V. & Joubert, P. N. 1981 Third Symp. on Turbulent Shear Flows, University of California Davis, Sept. 9–11, 1981.
So, R. M. C. 1975 J. Fluid Mech. 70, 3757.
So, R. M. C. & Mellor, G. L. 1973 J. Fluid Mech. 60, 4362.
Spalding, D. B. 1961 Trans. ASME E: J. Appl. Mech. 28, 455458.Google Scholar
Sykes, R. I. 1980 J. Fluid Mech. 101, 647670.
Taylor, P. A., Gent, P. R. & Keen, J. M. 1976 Geophys. J. R. Astr. Soc. 44, 177201.
Thorsness, C. B., Morrisroe, P. E. & Hanratty, T. J. 1978 Chem. Engng Sci. 33, 579592.
Tritton, D. J. & Davies, P. A. 1981 Topics in Appl. Phys. (ed. H. L. Swinney & J. P. Gollub), vol. 45, pp. 229270. Springer.
Verdier, A. 1977 Ecoulement en régime lisse et rugueux avec aspiration pariétale à l'interieur d'un tube. Thèse Doct. Ing. University of Aix-Marseille II, France, Rapport C.E.A., R. 4890.
Zilker, D. P., Cook, G. W. & Hanratty, T. J. 1977 J. Fluid Mech. 82, 2951.
Zilker, D. P. & Hanratty, T. J. 1979 J. Fluid Mech. 90, 257271.