Skip to main content
    • Aa
    • Aa
  • Get access
    Check if you have access via personal or institutional login
  • Cited by 33
  • Cited by
    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Fontana, Éliton Mancusi, Erasmo de Souza, Antônio A.U. and de Souza, Selene M.A.G.U. 2015. Stability analysis of stratified Rayleigh–Bénard–Poiseuille convection: Influence of the shear flow. Chemical Engineering Science, Vol. 126, p. 67.

    Scagliarini, Andrea Gylfason, Ármann and Toschi, Federico 2014. Heat-flux scaling in turbulent Rayleigh-Bénard convection with an imposed longitudinal wind. Physical Review E, Vol. 89, Issue. 4,

    Smolec, Radoslaw Houdek, Günter and Gough, Douglas 2010. Modelling turbulent fluxes due to thermal convection in rectilinear shearing flow. Proceedings of the International Astronomical Union, Vol. 6, Issue. S271, p. 397.

    Woods, Sarah Piskozub, Jacek Freda, Wlodzimierz Jonasz, Miroslaw and Bogucki, Darek 2010. Laboratory measurements of light beam depolarization on turbulent convective flow. Applied Optics, Vol. 49, Issue. 18, p. 3545.

    Chini, Gregory P. and Cox, Stephen M. 2009. Large Rayleigh number thermal convection: Heat flux predictions and strongly nonlinear solutions. Physics of Fluids, Vol. 21, Issue. 8, p. 083603.

    Chandra, Laltu and Grötzbach, Günther 2008. Analysis and modelling of the turbulent diffusion of turbulent heat fluxes in natural convection. International Journal of Heat and Fluid Flow, Vol. 29, Issue. 3, p. 743.

    Chandra, Laltu and Grötzbach, Günther 2007. Analysis and Modeling of the Turbulent Diffusion of Turbulent Kinetic Energy in Natural Convection. Flow, Turbulence and Combustion, Vol. 79, Issue. 2, p. 133.

    Liu, Chun-Ho and Leung, Dennis Y. C. 2006. Finite element solution to passive scalar transport behind line sources under neutral and unstable stratification. International Journal for Numerical Methods in Fluids, Vol. 50, Issue. 5, p. 623.

    El-Samni, O.A. Yoon, H.S. and Chun, H.H. 2005. Direct numerical simulation of turbulent flow in a vertical channel with buoyancy orthogonal to mean flow. International Journal of Heat and Mass Transfer, Vol. 48, Issue. 7, p. 1267.

    Heitmann, S. and Backhaus, J.O. 2005. Large-eddy simulations of convective shear flows. Deep Sea Research Part II: Topical Studies in Oceanography, Vol. 52, Issue. 9-10, p. 1156.

    Bogucki, Darek J. Domaradzki, Julian A. Ecke, Robert E. and Truman, C. Randal 2004. Light scattering on oceanic turbulence. Applied Optics, Vol. 43, Issue. 30, p. 5662.

    Korenaga, Jun and Jordan, Thomas H. 2003. Linear stability analysis of Richter rolls. Geophysical Research Letters, Vol. 30, Issue. 22,

    Sullivan, Peter P. and McWilliams, James C. 2002. Turbulent flow over water waves in the presence of stratification. Physics of Fluids, Vol. 14, Issue. 3, p. 1182.

    Kimmel, Shari J. and Domaradzki, J. Andrzej 2000. Large eddy simulations of Rayleigh–Bénard convection using subgrid scale estimation model. Physics of Fluids, Vol. 12, Issue. 1, p. 169.

    Theerthan, S. Ananda and Arakeri, Jaywant H. 2000. Planform structure and heat transfer in turbulent free convection over horizontal surfaces. Physics of Fluids, Vol. 12, Issue. 4, p. 884.

    Iida, O. and Kasagi, N. 1997. Direct Numerical Simulation of Unstably Stratified Turbulent Channel Flow. Journal of Heat Transfer, Vol. 119, Issue. 1, p. 53.

    Lumley, John L. and Poje, Andrew 1997. Low-dimensional models for flows with density fluctuations. Physics of Fluids, Vol. 9, Issue. 7, p. 2023.

    Shan, Xiaowen 1997. Simulation of Rayleigh-Bénard convection using a lattice Boltzmann method. Physical Review E, Vol. 55, Issue. 3, p. 2780.

    Kerr, Robert M. 1996. Rayleigh number scaling in numerical convection. Journal of Fluid Mechanics, Vol. 310, Issue. -1, p. 139.

    Tandon, Amit and Leibovich, Sidney 1995. Simulations of three-dimensional Langmuir circulation in water of constant density. Journal of Geophysical Research, Vol. 100, Issue. C11, p. 22613.

  • Journal of Fluid Mechanics, Volume 193
  • August 1988, pp. 499-531

Direct numerical simulations of the effects of shear on turbulent Rayleigh-Bénard convection

  • J. Andrzej Domaradzki (a1) and Ralph W. Metcalfe (a2)
  • DOI:
  • Published online: 01 April 2006

The interaction between shear and buoyancy effects for Bénard convection in plane Couette flow is studied by performing direct numerical simulations. At moderate Rayleigh number (≈10000−50000), shear tends to organize the flow into quasi-two-dimensional rolls parallel to the mean flow and can enhance heat transfer, while at higher Rayleigh number (>150000), shear tends to disrupt the formation of convective plumes and can reduce heat transfer. A significant temporal oscillation in the local Nusselt number was consistently observed at high Rayleigh numbers, a factor that may contribute to the scatter seen in experimental data. This effect, plus the time-varying reversal of the mean temperature gradient in the middle of the channel, is consistent with a flow model in which the dynamics of large-scale, quasi-two-dimensional, counter-rotating vortical cells are alternately driven by buoyancy and inertial effects. An analysis of the energy balance in the flow shows that the conservative pressure diffusion term, which has been frequently neglected in turbulence models, plays a very important dynamical role in the flow evolution and should be more carefully modelled. Most of the turbulent energy production due to mean shear is generated in the boundary layers, while the buoyant production occurs mainly in the relatively uniform convective core. The simulations and the laboratory experiments of Deardorff & Willis (1967) are in very reasonable qualitative agreement, suggesting that the basic dynamics of the flow are being accurately simulated.

Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
Please enter your name
Please enter a valid email address
Who would you like to send this to? *