Hostname: page-component-cd9895bd7-gvvz8 Total loading time: 0 Render date: 2025-01-01T10:48:48.806Z Has data issue: false hasContentIssue false
  • English
  • Français

Transition in a two-dimensional plane wall jet

Published online by Cambridge University Press:  29 March 2006

R. A. Bajura  and
M. R. Catalano
R. A. Bajura
Affiliation:
Department of Mechanical Engineering and Mechanics, West Virginia University, Morgantown, West Virginia 26506
M. R. Catalano
Affiliation:
Department of Mechanical Engineering and Mechanics, West Virginia University, Morgantown, West Virginia 26506 Present address: Engineering Division, Rohm-Haas Company, Bristol, Pa. 19007.
Get access Rights & Permissions [Opens in a new window]

Abstract

Transition in a two-dimensional plane wall jet was examined for the range of exit Reynolds numbers between 100 and 600. The wall jet was produced by the flow of water, which issued either from a smoothly-contoured nozzle or from the end of a long parallel channel. Observations were recorded both visually and with a hot-film anemometer. Both natural and forced transition cases were studied. Natural transition generally occurred in the following stages: (i) formation of discrete vortices in the outer shear layer; (ii) coalescence of adjacent vortices in the outer shear layer, coupled with the rolling up of the inner shear layer; (iii) eruption of the wall jet off the surface of the flat plate into the ambient fluid; (iv) dispersion of the organized flow pattern by three-dimensional turbulent motions; and (v) re-laminarization of the upstream flow, until another vortex pairing occurred. The initial stages of transition are two-dimensional in nature; and are dominated by the mechanism of vortex pairing, which is commonly observed in free shear layers. The inner-region shear layer exerts a stabilizing influence on the velocity profile at low Reynolds numbers. Forced transition was essentially similar to natural transition, except for the elimination of the downstream intermittency and the establishment of a fixed downstream location for transition.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 70 , Issue 4 , 26 August 1975 , pp. 773 - 799
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

Bajura, R. A. 1967 An experimental investigation of a laminar two-dimensional plane wall jet. Ph.D. thesis, University of Notre Dame, Notre Dame, Indiana.
Bajura, R. A. & Szewczyk, A. A. 1970 Experimental investigation of a laminar two-dimensional plane wall jet. Phys. Fluids, 13, 1653–1664.Google Scholar
Beavers, G. S. & Wilson, T. A. 1970 Vortex growth in jets. J. Fluid Mech. 44, 97–112.Google Scholar
Browand, F. K. 1966 An experimental investigation of the instability of an incompressible, separated shear layer. J. Fluid Mech. 26, 281–307.Google Scholar
Brown, F. N. M. 1965 The physical model of boundary-layer transition. David Taylor Model Basin, U.S. Navy, Contract, no. 1623.Google Scholar
Catalano, M. R. 1971 An experimental investigation of a plane wall jet. M.S. thesis, West Virginia University, Morgantown, West Virginia.
Chun, D. H. & Schwarz, W. H. 1967 Stability of the plane incompressible viscous wall jet subjected to small disturbances. Phys. Fluids, 10, 911–915.Google Scholar
Fales, E. N. 1955 A new laboratory technique for investigation of the origin of fluid turbulence. J. Franklin Inst. 259, 491–518.Google Scholar
Freymuth, P. 1966 On transition in a separated laminar boundary layer. J. Fluid Mech. 26, 683–704.Google Scholar
Gaster, M. 1965 The role of spatially growing waves in the theory of hydrodynamic stability. Progress in Aeronautical Science (ed. D. Kuchemann and L. Sterne), vol. 6, pp. 251–270. Pergamon.
Glauert, M. B. 1956 The wall jet. J. Fluid Mech. 1, 625–643.Google Scholar
Hama, F. R. 1960 Boundary layer transition induced by a vibrating ribbon on a flat plate. Proc. Heat Transfer and Fluid Mechanics Institute, pp. 92–105. Stanford University Press.
Hama, F. R., Long, J. D. & Hegarty, J. C. 1957 On transition from laminar to turbulent flow. J. Appl. Phys. 28, 388–394.Google Scholar
Hama, F. R. & Nutant, J. 1963 Detailed flow-field observations in the transition process in a thick boundary layer. Proc. Heat Transfer and Fluid Mechanics Institute, pp. 77–93. Stanford University Press.
Klebanoff, P. S., Tidstrom, K. D. & Sargent, L. M. 1962 The three-dimensional nature of boundary-layer instability. J. Fluid Mech. 12, 1–34.Google Scholar
Knapp, C. F. & Roache, P. J. 1968 A combined visual and hot-wire anemometer investigation of boundary-layer transition. A.I.A.A. J. 6, 29–36.Google Scholar
Kovasznay, L. S. G., Komoda, H. & Vasudeva, B. R. 1962 Detailed flow field in transition. Proc. Heat Transfer and Fluid Mechanics Institute, pp. 1–26. Stanford University Press.
Lindow, B. & Greber, I. 1968 Similarity solution for a laminar incompressible jet flowing along a curved surface. A.I.A.A. J. 6, 1331–1335.Google Scholar
Mon, G. 1970 Two-dimensional incompressible laminar and turbulent curved wall jet. Ph.D. thesis, The Catholic University of America, Washington, D.C
Newman, B. G. 1961 The deflection of plane jets by adjacent boundaries - coanda effects. Boundary Layer and Flow Control (ed. G. V. Lachman), vol. 1, pp. 232–264. Pergamon.
Parks, E. K. & Petersen, R. E. 1968 Analysis of a ‘coanda' type flow. A.I.A.A. J. 6, 4–7.Google Scholar
Reddy Gorla, R. S. & Jeng, D. R. 1972 Laminar plane wall jet. Proc. 12th Midwestern Mechanics Conf. Developments in Mechanics, vol. 6, pp. 137–151. University of Notre Dame Press.
Rockwell, D. O. & Niccolls, W. O. 1972 Natural breakdown of planar jets. Trans. A.S.M.E. J. Basic Engng, 94, 720–730.Google Scholar
Sato, H. 1956 Experimental investigation on the transition of laminar separated layer. J. Phys. Soc. Japan, 11, 702–709.Google Scholar
Sato, H. 1959 Further investigation on the transition of two-dimensional separated layer at subsonic speeds. J. Phys. Soc. Japan, 14, 1797–1810.Google Scholar
Sato, H. 1960 The stability and transition of a two-dimensional jet. J. Fluid Mech. 7, 53–80.Google Scholar
Sato, H. & Sakao, F. 1964 An experimental investigation of the instability of a two-dimensional jet at low Reynolds numbers. J. Fluid Mech. 20, 337–352.Google Scholar
Schlichting, H. B. 1960 Boundary-layer Theory, 4th edn. McGraw-Hill.
Tatsumi, T. & Kakutani, T. 1958 The stability of a two-dimensional laminar jet. J. Fluid Mech. 4, 261–275.Google Scholar
Tetervin, N. 1948 Laminar flow of a slightly viscous incompressible fluid that issues from a slit and passes over a flat plate. N.A.C.A. Tech. Note, no. 1644.Google Scholar
Winant, C. D. & Browand, F. K. 1974 Vortex pairing: the mechanism of turbulent mixing-layer growth at moderate Reynolds number. J. Fluid Mech. 63, 237–255.Google Scholar
Wygnanski, I. J. & Champagne, F. H. 1968 The laminar wall jet over a curved surface. J. Fluid Mech. 31, 459–465.Google Scholar