Hostname: page-component-cd9895bd7-dzt6s Total loading time: 0 Render date: 2024-12-19T09:17:32.873Z Has data issue: false hasContentIssue false
  • English
  • Français

A second-moment closure study of rotating channel flow

Published online by Cambridge University Press:  21 April 2006

B. E. Launder ,
D. P. Tselepidakis  and
B. A. Younis
B. E. Launder
Affiliation:
Department of Mechanical Engineering, UMIST, Manchester, UK
D. P. Tselepidakis
Affiliation:
Department of Mechanical Engineering, UMIST, Manchester, UK
B. A. Younis
Affiliation:
Department of Mechanical Engineering, UMIST, Manchester, UK
Get access Rights & Permissions [Opens in a new window]

Abstract

The second-moment closure applied by Gibson & Launder (1978) to buoyant turbulent flows is here employed without modification to compute the effects of Coriolis forces on fully-developed flow in a rotating channel. The augmentation of turbulent transport on the pressure surface of the channel and its damping on the suction surface seem to be well captured by the computations, provided the flow near the suction surface remains turbulent. The rather striking alteration in shape of the mean velocity profile that occurs as the Rossby number is increased from 0.06 to 0.2 is shown to be explicable in terms of the modification to the intensity of the turbulent velocity fluctuations normal to the plate; for the larger value of Rossby number these fluctuations become larger than those in the flow direction causing what at low spin rates is a source of shear stress to become a sink.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 183 , October 1987 , pp. 63 - 75
Copyright
© 1987 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

Bardina, J., Ferziger, J. H. & Reynolds, W. C. 1983 Improved turbulence models based on large-eddy simulation of homogeneous, incompressible, turbulent flows. Mech. Eng. Dep. Rep. TF-19, Stanford University.
Bardina, J., Ferziger, J. H. & Rogallo, R. S. 1985 J. Fluid Mech. 154, 321.
Bertoglio, J.-P. 1982 AIAA J. 20, 1175.
Coles, D. 1956 J. Fluid Mech. 1, 191.
Cousteix, J. & Aupoix, B. 1981 La Recherche Aérospatiale, no. 1981–4, p. 275.
Crow, S. C. 1968 J. Fluid Mech. 33, 1.
Daly, B. J. & Harlow, F. H. 1970 Phys. Fluids 13, 2364.
Eringen, A. C. 1962 Non-Linear Theory of Continuous Media, p. 93. McGraw Hill.
Gibson, M. M. & Launder, B. E. 1978 J. Fluid Mech. 86, 491.
Hanjalić, K. & Launder, B. E. 1972 J. Fluid Mech. 52, 609.
Howard, J. G. H., Patankar, S. V. & Bordynuik, R. M. 1980 Trans. ASMI: J. Fluids Engng 102, 456.
Johnston, J. P., Halleen, R. M. & Lezius, D. K. 1972 J. Fluid Mech. 56, 533.
Kim, J. 1983 Proc. 4th Turbulent Shear Flows Symposium, Karlsruhe, p. 6.14.
Koyama, H. S. & Ohuchi, M. 1985 Proc. 5th Turbulent Shear Flows Symposium, Cornell, p. 21.19.
Launder, B. E. 1965 The effect of Coriolis force on fully-developed flow in a rotating duct. MIT Gas Turbine Laboratory Rep.
Launder, B. E., Reece, G. J. & Rodi, W. 1975 J. Fluid Mech. 68, 537.
Leschziner, M. 1982 An introduction and guide to the computer code PASSABLE. Mech. Eng. Dept. Rep. UMIST.Google Scholar
Masuda, S., Koyama, H. S. & Ariga, I. 1983 Bull. JSME 26, 1534.
Miyake, Y. & Kajishima, T. 1986 Bull. JSME 29, 1341.
Moore, J. 1967 MIT Gas Turbine Lab. Rep. 89.
Naot, D. & Rodi, W. 1982 J. Hydraul. Div. ASCE 108, 948.
Pouagare, M. & Lakshminarayana, B. 1983 Proc. 4th Turbulent Shear Flow Symposium, Karlsruhe, p. 6.6.
Rotta, J. 1951 Z. Phys. 129, 547.
Shir, M. 1973 J. Atmos. Sci. 30, 1327.
Takhar, H. S. & Thomas, T. G. 1985 Frame invariance of turbulence constitutive equations. Simon Engineering Laboratories, University of Manchester.