Skip to main content
    • Aa
    • Aa
  • Get access
    Check if you have access via personal or institutional login
  • Cited by 138
  • Cited by
    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Bazdidi-Tehrani, Farzad Kiamansouri, Mohsen and Jadidi, Mohammad 2016. Inflow turbulence generation techniques for large eddy simulation of flow and dispersion around a model building in a turbulent atmospheric boundary layer. Journal of Building Performance Simulation, p. 1.

    Bobke, Alexandra Vinuesa, Ricardo Örlü, Ramis and Schlatter, Philipp 2016. Large-eddy simulations of adverse pressure gradient turbulent boundary layers. Journal of Physics: Conference Series, Vol. 708, p. 012012.

    Gloerfelt, Xavier 2016. 22nd AIAA/CEAS Aeroacoustics Conference.

    Gungor, A.G. Maciel, Y. Simens, M.P. and Soria, J. 2016. Scaling and statistics of large-defect adverse pressure gradient turbulent boundary layers. International Journal of Heat and Fluid Flow, Vol. 59, p. 109.

    Hosseini, S.M. Vinuesa, R. Schlatter, P. Hanifi, A. and Henningson, D.S. 2016. Direct numerical simulation of the flow around a wing section at moderate Reynolds number. International Journal of Heat and Fluid Flow,

    Kitsios, V. Atkinson, C. Sillero, J.A. Borrell, G. Gungor, A.G. Jiménez, J. and Soria, J. 2016. Direct numerical simulation of a self-similar adverse pressure gradient turbulent boundary layer. International Journal of Heat and Fluid Flow,

    Munters, Wim Meneveau, Charles and Meyers, Johan 2016. Turbulent Inflow Precursor Method with Time-Varying Direction for Large-Eddy Simulations and Applications to Wind Farms. Boundary-Layer Meteorology, Vol. 159, Issue. 2, p. 305.

    Schatzman, David M. Wilson, Jacob S. and Chandrasekhara, M S. 2016. 8th AIAA Flow Control Conference.

    Vinuesa, R. Bobke, A. Örlü, R. and Schlatter, P. 2016. On determining characteristic length scales in pressure-gradient turbulent boundary layers. Physics of Fluids, Vol. 28, Issue. 5, p. 055101.

    Vinuesa, Ricardo Örlü, Ramis and Schlatter, Philipp 2016. On determining characteristic length scales in pressure gradient turbulent boundary layers. Journal of Physics: Conference Series, Vol. 708, p. 012014.

    Yang, Xiang I. A. and Meneveau, Charles 2016. Recycling inflow method for simulations of spatially evolving turbulent boundary layers over rough surfaces. Journal of Turbulence, Vol. 17, Issue. 1, p. 75.

    Banyassady, Rayhaneh and Piomelli, Ugo 2015. Interaction of inner and outer layers in plane and radial wall jets. Journal of Turbulence, Vol. 16, Issue. 5, p. 460.

    Cadieux, Francois and Domaradzki, Julian A. 2015. Performance of subgrid-scale models in coarse large eddy simulations of a laminar separation bubble. Physics of Fluids, Vol. 27, Issue. 4, p. 045112.

    Cohen, Elie and Gloerfelt, Xavier 2015. 21st AIAA/CEAS Aeroacoustics Conference.

    Coleman, G. N. Garbaruk, A. and Spalart, P. R. 2015. Direct Numerical Simulation, Theories and Modelling of Wall Turbulence with a Range of Pressure Gradients. Flow, Turbulence and Combustion, Vol. 95, Issue. 2-3, p. 261.

    David Pruett, C. 2015. A temporally regularized buffer domain for flow-through simulations. Computers & Fluids, Vol. 109, p. 38.

    Dhamankar, Nitin S. Blaisdell, Gregory A. and Lyrintzis, Anastasios S. 2015. 22nd AIAA Computational Fluid Dynamics Conference.

    Ishihara, Takashi Ogasawara, Hiroki and Hunt, Julian C.R. 2015. Analysis of conditional statistics obtained near the turbulent/non-turbulent interface of turbulent boundary layers. Journal of Fluids and Structures, Vol. 53, p. 50.

    Knopp, T. Buchmann, N.A. Schanz, D. Eisfeld, B. Cierpka, C. Hain, R. Schröder, A. and Kähler, C.J. 2015. Investigation of scaling laws in a turbulent boundary layer flow with adverse pressure gradient using PIV. Journal of Turbulence, Vol. 16, Issue. 3, p. 250.

    Kornilov, V.I. 2015. Current state and prospects of researches on the control of turbulent boundary layer by air blowing. Progress in Aerospace Sciences, Vol. 76, p. 1.

  • Journal of Fluid Mechanics, Volume 249
  • April 1993, pp. 337-371

Experimental and numerical study of a turbulent boundary layer with pressure gradients

  • Philippe R. Spalart (a1) (a2) and Jonathan H. Watmuff (a3) (a4)
  • DOI:
  • Published online: 01 April 2006

The boundary layer develops along a flat plate with a Reynolds number high enough to sustain turbulence and allow accurate experimental measurements, but low enough to allow a direct numerical simulation. A favourable pressure gradient just downstream of the trip (experiment) or inflow boundary (simulation) helps the turbulence to mature without unduly increasing the Reynolds number. The pressure gradient then reverses, and the β-parameter rises from −0.3 to +2. The wall-pressure distribution and Reynolds number of the simulation are matched to those of the experiment, as are the gross characteristics of the boundary layer at the inflow. This information would be sufficient to calculate the flow by another method. Extensive automation of the experiment allows a large measurement grid with long samples and frequent calibration of the hot wires. The simulation relies on the recent ‘fringe method’ with its numerical advantages and good inflow quality. After an inflow transient good agreement is observed; the differences, of up to 13%, are discussed. Moderate deviations from the law of the wall are found in the velocity profiles of the simulation. They are fully correlated with the pressure gradient, are in fair quantitative agreement with experimental results of Nagano, Tagawa & Tsuji. and are roughly the opposite of uncorrected mixing-length-model predictions. Large deviations from wall scaling are observed for other quantities, notably for the turbulence dissipation rate. The a1 structure parameter drops mildly in the upper layer with adverse pressure gradient.

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? *