Hostname: page-component-745bb68f8f-hvd4g Total loading time: 0 Render date: 2025-01-25T19:38:53.775Z Has data issue: false hasContentIssue false
  • English
  • Français

Direct numerical simulations of rotating turbulent channel flow

Published online by Cambridge University Press:  25 February 2008

OLOF GRUNDESTAM ,
STEFAN WALLIN  and
ARNE V. JOHANSSON
OLOF GRUNDESTAM
Affiliation:
Linné Flow Center, KTH Mechanics, SE-100 44 Stockholm, Sweden
STEFAN WALLIN
Affiliation:
Linné Flow Center, KTH Mechanics, SE-100 44 Stockholm, Sweden Computational Physics, Swedish Defence Research Agency (FOI), SE-164 90 Stockholm, Sweden
ARNE V. JOHANSSON
Affiliation:
Linné Flow Center, KTH Mechanics, SE-100 44 Stockholm, Sweden
Get access Rights & Permissions [Opens in a new window]

Abstract

Fully developed rotating turbulent channel flow has been studied, through direct numerical simulations, for the complete range of rotation numbers for which the flow is turbulent. The present investigation suggests that complete flow laminarization occurs at a rotation number Ro = 2Ωδ/Ub ≤ 3.0, where Ω denotes the system rotation, Ub is the mean bulk velocity and δ is the half-width of the channel. Simulations were performed for ten different rotation numbers in the range 0.98 to 2.49 and complemented with earlier simulations (done in our group) for lower values of Ro. The friction Reynolds number Reτ = uτδ/ν (where uτ is the wall-shear velocity and ν is the kinematic viscosity) was chosen as 180 for these simulations. A striking feature of rotating channel flow is the division into a turbulent (unstable) and an almost laminarized (stable) side. The relatively distinct interface between these two regions was found to be maintained by a balance where negative turbulence production plays an important role. The maximum difference in wall-shear stress between the two sides was found to occur for a rotation number of about 0.5. The bulk flow was found to monotonically increase with increasing rotation number and reach a value (for Reτ = 180) at the laminar limit (Ro = 3.0) four times that of the non-rotating case.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 598 , 10 March 2008 , pp. 177 - 199
Copyright
Copyright © Cambridge University Press 2008

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

REFERENCES

Alvelius, K. 1999 Studies of turbulence and its modelling through large eddy- and direct numerical simulation. PhD thesis, Department of mechanics, KTH, Stockholm, Sweden.Google Scholar
Bech, K.H. & Andersson, H. I. 1997 Turbulent plane couette flow subject to strong system rotation. J. Fluid Mech 347, 289–318.CrossRefGoogle Scholar
Bradshaw, P. 1969 The analogy between streamline curvature and buoyancy in turbulent shear flow. J. Fluid Mech 36, 177–191.CrossRefGoogle Scholar
Brethouwer, G. 2005 The effect of rotation on rapidly sheared homogeneous turbulence and passive scalar transport. linear theory and direct numerical simulation. J. Fluid Mech 542, 305–342.CrossRefGoogle Scholar
Hamba, F. 2006 The mechanism of zero mean absolute vorticity state in rotating channel flow. Phys. Fluids 18.CrossRefGoogle Scholar
Henningson, D. S., Lundbladh, A. & Johansson, A. V. 1993 A mechanism for bypass transition from localized disturbances in wall-bounded shear flows. J. Fluid Mech 250, 169–207.CrossRefGoogle Scholar
Johnston, J. P., Halleen, R. M. & Lezius, D. K. 1972 Effects of spanwise rotation on the structure of two-dimensional fully developed turbulent channel flow. J. Fluid Mech 56, 533–559.CrossRefGoogle Scholar
Kim, J., Moin, P. & Moser, R. 1987 Turbulence statistics in fully developed channel flow at low Reynolds number. J. Fluid Mech 177, 133–166.CrossRefGoogle Scholar
Kristoffersen, R. & Andersson, H. I. 1993 Direct simulations of low-Reynolds-number turbulent flow in a rotating channel. J. Fluid Mech 256, 163–197.CrossRefGoogle Scholar
Lamballais, E., Lesieur, M. & Métais, O. 1996 Effects of spanwise rotation on the vorticity stretching in transitional and turbulent channel flow. Intl J. Heat Fluid Flow 17, 324–332.CrossRefGoogle Scholar
Lamballais, E., Métais, O. & Lesieur, M. 1998 Spectral-dynamic model for large-eddy simulations of turbulent rotating channel flow. Theor. Comp. Fluid Dyn 12, 146–177.CrossRefGoogle Scholar
Lesieur, M., Métais, O. & Comte, P. 2005 Large-eddy Simulations of Turbulence. Cambridge University Press.CrossRefGoogle Scholar
Lundblad, A., Henningson, D. S. & Johansson, A. V. 1992 An efficient spectral integration method for the solution of the Navier-Stokes equations. Tech. Rep. FOI, FFA, SE-16490 Stockholm, Sweden, 1992-28.Google Scholar
Maciel, Y., Picard, D., Yan, G. & Dumas, G. 2003 Fully developed turbulent channel flow subject to system rotation. AIAA Paper 2003-4153.CrossRefGoogle Scholar
Nagano, Y. & Hattori, H. 2003 Direct numerical simulation and modelling of spanwise rotating channel flow with heat transfer. J. Turbulence 4.CrossRefGoogle Scholar
Nakabayashi, K. & Kitoh, O. 1996 Low Reynolds number fully developed two-dimensional turbulent channel flow with system rotation. J. Fluid Mech 315, 1–29.CrossRefGoogle Scholar
Nakabayashi, K. & Kitoh, O. 2005 Turbulence characteristics of two-dimensional channel flow with system rotation. J. Fluid Mech 528, 355–377.CrossRefGoogle Scholar
Oberlack, M. 2001 A unified approach for symmetries in plane parallel turbulent shear flows. J. Fluid Mech 427, 299–328.CrossRefGoogle Scholar
Salhi, A. & Cambon, C. 1997 An analysis of rotating shear flow using linear theory and dns and les results. J. Fluid Mech 347, 171–195.CrossRefGoogle Scholar
Tanaka, M., Kida, S., Yanase, S. & Kawahara, G. 2000 Zero-absolute-vorticity state in a rotating turbulent shear flow. Phys. Fluids 12, 1979–1985.CrossRefGoogle Scholar
Wu, H. & Kasagi, N. 2004 Effects of arbitrary directional system rotation on turbulent channel flow. Phys. Fluids 16, 979–990.CrossRefGoogle Scholar