Hostname: page-component-77c89778f8-fv566 Total loading time: 0 Render date: 2024-07-18T06:22:03.069Z Has data issue: false hasContentIssue false

Experiment on Turbulent Boundary Layers on a Concave Wall

Published online by Cambridge University Press:  07 June 2016

Ronald M C So
Affiliation:
Geophysical Fluid Dynamics Program, Rutgers University
George L Mellor
Affiliation:
Department of Aerospace and Mechanical Sciences, Princeton University
Get access

Summary

The present experiment describes the behaviour of a turbulent boundary layer on a concave wall. At the onset of curvature there appears a fairly coherent wavelike transverse profile of mean velocity. This disturbance might be interpreted as a kind of large scale Taylor-Görtler type instability superimposed on a conventional turbulent boundary layer; further downstream the coherence degenerates as the turbulence level increases. Boundary-layer profile measurements were made at positions of maxima and minima of transverse profiles of (U-component) mean velocity. The boundary layer at the minima positions is found to be twice as thick as that at the maxima positions. Also, turbulent intensities inside the boundary layer are substantially increased as a result of the concave curvature of the surface.

Type
Research Article
Copyright
Copyright © Royal Aeronautical Society. 1975

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

1 Taylor, G I Stability of a viscous liquid contained between two rotating cylinders. Phil Trans Roy Soc A, Vol 223, p 289, 1923.Google Scholar
2 Taylor, G I Distribution of velocity and temperature between concentric rotating cylinders. Proc Roy Soc A, Vol 151, p 494, 1935.Google Scholar
3 Taylor, G I Fluid friction between rotating cylinders. I, Torque measurements. Proc Roy Soc A, Vol 157, p 546, 1936.Google Scholar
4 Rayleigh, J W S On the dynamics of revolving fluids. Proc Roy Soc A, Vol 93, p 148, 1916.Google Scholar
5 Görtler, H Uber eine dreidimensionale Instabilitàt laminarer Grenzschichten an konkaven Wänden. Nachrichtung Gesellschaft Wessenschaftlich, Göttingen, Mathematik – Physik. Vol 1, p 1, 1940.Google Scholar
6 Liepmann, H W Investigation of boundary layer transition on concave walls. NACA ACR4J28, 1945.Google Scholar
7 Bippes, H Görtler, H Dreidimensionale Störungen in der Grenzschicht an einer konkaven Wand, Acta Mechanica, Vol 14, p 251, 1972.CrossRefGoogle Scholar
8 Avsec, D Luntz, M Tourbillions thermoconvectifs et électro-convectifs. Météorologie, Vol 13, p 180, 1937.Google Scholar
9 Görtler, H Uber eine Analogie zwischen den Instâbilitaten laminarer Grenzschichtstrômungen an konkaven Wänden und an erwärmten Wänden. Ingenieur-Archiv, Vol 28, p 71, 1959.CrossRefGoogle Scholar
10 Prandtl, L Effect of stabilizing forces on turbulence. NACA TM-625 (Translation of “Vortrage aus dem Gebiete der Aerodynamik und verwandter Gebiete”, Aachen 1929).Google Scholar
11 Wilcken, H Effect of curved surfaces on turbulent boundary layers. NASA TTF-1 1421, 1967 (Translation of Ingénieur-Archiv, Vol 1, p 357, 1930).Google Scholar
12 Schmidbauer, H Turbulent friction layer on convex surfaces, NASA TM-791 (Translation of Luftfahrtforschung, Vol 13, p 160, 1936).Google Scholar
13 Wattendorf, F L A study of the effect of curvature on fully developed turbulent flow. Proc Roy Soc A, Vol 148, p 565, 1935.Google Scholar
14 Eskinazi, S Yeh, H An investigation on fully developed turbulent flows in a curved channel. Journal of the Aeronautical Sciences, Vol 23, p 23, 1956.Google Scholar
15 Ellis, L B Joubert, P N Turbulent shear flow in a curved duct. Journal of Fluid Mechanics, Vol 62, p 65, 1974.CrossRefGoogle Scholar
16 Tani, I Production of longitudinal vortices in the boundary layer along a concave wall. Journal of Geophysical Research, Vol 67, p 3075, 1962.Google Scholar
17 Patel, V C Measurements of secondary flow in the boundary layers of a 180 degree channel. ARC Current Paper 1043, 1969.Google Scholar
18 Thomann, H Effect of streamwise wall curvature on heat transfer in a turbulent boundary layer. Journal of Fluid Mechanics, Vol 33, p 283, 1968.Google Scholar
19 So, R M C Mellor, G L Experiment on convex curvature effects in turbulent boundary layers. Journal of Fluid Mechanics, Vol 60, p 43, 1973.Google Scholar
20 So, R M C Mellor, G L An experimental investigation of turbulent boundary layers along curved surfaces. NASA CR-1940, 1972.Google Scholar
21 Clauser, F H The turbulent boundary layer. Advances in Applied Mechanics, Vol 4, p 1, 1956.Google Scholar
22 Bissonnette, L Mellor, G L Experiments on the behaviour of an axisymmetric turbulent boundary layer with a sudden circumferential strain. Journal of Fluid Mechanics, Vol 63, p 369, 1974.CrossRefGoogle Scholar
23 Bradshaw, P Ferriss, D H The response of a retarded equilibrium turbulent boundary layer to the sudden removal of pressure gradient. NPL Aero Report 1145, 1965.Google Scholar
24 Herring, J H Mellor, G L A computer program to calculate incompressible laminar and turbulent boundary layer development. NASA CR-1564, 1970.Google Scholar
25 Smith, A M O On the growth of Taylor-Görtler vortices along highly concave walls. Quarterly of Applied Mathematics, Vol 13, p 233, 1955.CrossRefGoogle Scholar
26 Coles, D The law of the wall in turbulent shear flow. 50 Jahre Grenzschichtforschung, Wieweg. Braunschweig, p 153, 1955.Google Scholar
27 Mellor, G L The effects of pressure gradients on turbulent flow near a smooth wall. Journal of Fluid Mechanics, Vol 24, p 255, 1966.Google Scholar