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Measurements near a laminar separation point

Published online by Cambridge University Press:  20 April 2006

R. L. Varty
Affiliation:
Department of Mechanical Engineering, University of Toronto, Ontario
I. G. Currie
Affiliation:
Department of Mechanical Engineering, University of Toronto, Ontario

Abstract

Measurements in the neighbourhood of a laminar separation point at a high subcritical Reynolds number are reported. These results are used to test the validity of various theories relating to laminar separation. It is concluded that the boundary-layer equations are valid in the neighbourhood of the separation point without the existence of a singularity.

The velocity field was measured using a dual-beam laser-Doppler anemometer with optical frequency shifting. The wall-shear-stress distribution was measured with a flush-mounted hot-film sensor and the wall-pressure distribution was measured using a strain-gauge pressure sensor. The various terms in the Navier–Stokes equations were evaluated directly from the measurements, permitting the validity of the boundary-layer equations to be established. Proposed solutions for the flow field are compared with the measured flow field.

Type
Research Article
Copyright
© 1984 Cambridge University Press

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References

Brown, S. N. & Stewartson, K. 1969 Laminar separation Ann. Rev. Fluid Mech. 1, 4572.Google Scholar
Carter, J. E. 1975 Inverse solutions for laminar boundary-layer flows with separation and reattachment. NASA TR-R447.Google Scholar
Catherall, D. & Mangler, K. W. 1966 The integration of the two-dimensional laminar boundary-layer equations past the point of vanishing skin friction J. Fluid Mech. 26, 163182.Google Scholar
Dobbinga, E., VAN INGEN, J. L. & Kooi, J. W. 1972 Some research on two dimensional laminar separation bubbles. Dept Aero. Engng, Technological University of Delft, The Netherlands.
Durst, F., Melling, A. & Whitelaw, J. H. 1976 Principles and Practice of Laser Anemometry. Academic.
Goldstein, S. 1948 On laminar boundary-layer flow near a position of separation Q. J. Mech. Appl. Maths 1, 4369.Google Scholar
Leal, L. G. 1973 Steady separated flow in a linearly decelerated free stream J. Fluid Mech. 59, 513535.Google Scholar
Legendre, R. 1955 Mécanique des fluides visqueux-décollement laminaire régulier C.R. Acad. Sci. Paris 241, 732734.Google Scholar
Meksyn, D. 1961 New Methods in Laminar Boundary-Layer Theory. Pergamon.
Messiter, A. F. & Enlow, R. L. 1973 A model for laminar boundary flow near a separation point SIAM J. Appl. Maths 25, 655670.Google Scholar
Oswatitsch, K. 1958 Die Ablösungsbedingung von Grenzschichten. In Proc. IUTAM Symp. on Boundary-Layer Research, 1957 (ed. H. Görtler), pp. 357367.
Sychev, V. V. 1974 Laminar separation Fluid Dyn. 7, 407417.Google Scholar
Tillman, W. & Schlieper, H. 1979b Modification of miniature flush surface wall shear probes for biomedieal use. J. Phys. E: Sci. Instrum. 12, 371372.
Tillman, W. & Schlieper, H. 1979b A device for the calibration of hot-film wall shear probes in liquids. J. Phys. E: Sci. Instrum. 12, 373380.
Varty, R. L. 1980 An experimental study of a laminar separation point. Ph.D. thesis, University of Toronto.
Williams, J. C. 1977 Incompressible boundary-layer separation Ann. Rev. Fluid Mech. 9, 113144.Google Scholar