Abstract
A novel approach is utilized to acquire new experimental information on plane-Couette flow. To this end a rigid plate, functioning as the moving wall, is propelled through air by the carriage of a towing channel, and the fixed wall is a stationary bench. It is shown that, irrespective of the state of the walls, the critical Reynolds number, expressed in terms of relative wall velocity and wall spacing, is about 1,200. Findings support the notion of universality of turbulent flow structure in the wall region, but shed doubt on the conjecture of homogeneous shear-flow turbulence in the core.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Aydin, M.; Leutheusser, H. J. 1979: Novel experimental facility for the study of plane-Couette How. Rev. Sci. Instrum. 50, 1362–1366
Aydin, M.; Leutheusser, H. J. 1980: Very low velocity calibration and application of hot-wire probes. DISA Information, 25, 17–18
El Telbany, M. M.; Reynolds, A. J. 1982: The structure of turbulent plane-Couette flow. J. Fluids Engrg. 104, 367–372
Hinze, J. O. 1959: Turbulence. New York: McGraw-Hill
Kármán, Th. von 1937: The fundamentals of the statistical theory of turbulence. J. Aeron. Sciences, 4, 131–138
Leutheusser, H. J.; Chu, V. H. 1971: Experiments on plane-Couette flow. J. Hydr. Div. (ASCE). 97, 1269–1284
Monin, A. S.; Yaglom, A. M. 1971: Statistical fluid mechanics: mechanics of turbulence (Vol. 1). Cambridge, MA: MIT Press
Oka, S.; Kostić, Z. 1972: Influence of wall proximity on hot-wire velocity measurements. DISA Information. 13, 29–33
Reichardt, H. 1956: Ueber die Geschwindigkeitsverteilung in einer geradlinigen turbulenten Couettestroemung. ZAMM., Sonderheft, S26-S29
Reichardt, H. 1959: Gesetzmaessigkeiten der geradlinigen turbulenten Couettestroemung. Mitteilungen aus dem Max-Planck-Institut für Stroemungsforschung und der Aerodynamischen Versuchsanstalt Goettingen, Nr. 22
Robertson, J. M. 1959: On turbulent plane-Couette flow. Proc. 6th Annual Conference on Fluid Mechanics, University of Texas, Austin, TX, September, 1959, 169–182
Robertson, J. M.; Johnson, H. F. 1970: Turbulence structure in planeCouette How. J. Engrg. Mech. Div. (ASCE) 96, 1171–182
Rotta, J. C. 1972: Turbulente Strömungen. Stuttgart, B.R.D.: B. G. Teubner
Tennekes, H.; Lumley, J. L. 1972: A first course in turbulence. Cambridge, MA: MIT Press
Townsend, A. A. 1956: The structure of turbulent shear flow. Cambridge U.K.: University Press
Willis, J. A. B. 1962: The correction of hot-wire readings for proximity to a solid boundary. J. Fluid Mech. 12, 388–396
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Aydin, E.M., Leutheusser, H.J. Plane-Couette flow between smooth and rough walls. Experiments in Fluids 11, 302–312 (1991). https://doi.org/10.1007/BF00194862
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00194862