### Abstract

We describe large-eddy simulations (LES) of the flat-plate turbulent boundary layer in the presence of an adverse pressure gradient. The stretched-vortex subgrid-scale model is used in the domain of the flow coupled to a wall model that explicitly accounts for the presence of a finite pressure gradient. The LES are designed to match recent experiments conducted at the University of Melbourne wind tunnel where a plate section with zero pressure gradient is followed by section with constant adverse pressure gradient. First, LES are described at Reynolds numbers based on the local free-stream velocity and the local momentum thickness in the range 6560-13,900 chosen to match the experimental conditions. This is followed by a discussion of further LES at Reynolds numbers at approximately 10 times and 100 times these values, which are well out of range of present day direct numerical simulation and wall-resolved LES. For the lower Reynolds number runs, mean velocity profiles, one-point turbulent statistics of the velocity fluctuations, skin friction and the Clauser and acceleration parameters along the streamwise, adverse pressure-gradient domain are compared to the experimental measurements. For the full range of LES, the relationship of the skin-friction coefficient, in the form of the ratio of the local free-stream velocity to the local friction velocity, to both Reynolds number and the Clauser parameter is explored. At large Reynolds numbers, a region of collapse is found that is well described by a simple log-like empirical relationship over two orders of magnitude. This is expected to be useful for constant adverse-pressure gradient flows. It is concluded that the present adverse pressure gradient boundary layers are far from an equilibrium state.

Original language | English |
---|---|

Pages (from-to) | 293-300 |

Number of pages | 8 |

Journal | International Journal of Heat and Fluid Flow |

Volume | 44 |

DOIs | |

Publication status | Published - Dec 2013 |

Externally published | Yes |

### Fingerprint

### Keywords

- Adverse pressure gradient
- Turbulent boundary layer
- Wall-model LES

### ASJC Scopus subject areas

- Mechanical Engineering
- Condensed Matter Physics
- Fluid Flow and Transfer Processes

### Cite this

*International Journal of Heat and Fluid Flow*,

*44*, 293-300. https://doi.org/10.1016/j.ijheatfluidflow.2013.06.011

**LES of the adverse-pressure gradient turbulent boundary layer.** / Inoue, M.; Pullin, D. I.; Harun, Zambri; Marusic, I.

Research output: Contribution to journal › Article

*International Journal of Heat and Fluid Flow*, vol. 44, pp. 293-300. https://doi.org/10.1016/j.ijheatfluidflow.2013.06.011

}

TY - JOUR

T1 - LES of the adverse-pressure gradient turbulent boundary layer

AU - Inoue, M.

AU - Pullin, D. I.

AU - Harun, Zambri

AU - Marusic, I.

PY - 2013/12

Y1 - 2013/12

N2 - We describe large-eddy simulations (LES) of the flat-plate turbulent boundary layer in the presence of an adverse pressure gradient. The stretched-vortex subgrid-scale model is used in the domain of the flow coupled to a wall model that explicitly accounts for the presence of a finite pressure gradient. The LES are designed to match recent experiments conducted at the University of Melbourne wind tunnel where a plate section with zero pressure gradient is followed by section with constant adverse pressure gradient. First, LES are described at Reynolds numbers based on the local free-stream velocity and the local momentum thickness in the range 6560-13,900 chosen to match the experimental conditions. This is followed by a discussion of further LES at Reynolds numbers at approximately 10 times and 100 times these values, which are well out of range of present day direct numerical simulation and wall-resolved LES. For the lower Reynolds number runs, mean velocity profiles, one-point turbulent statistics of the velocity fluctuations, skin friction and the Clauser and acceleration parameters along the streamwise, adverse pressure-gradient domain are compared to the experimental measurements. For the full range of LES, the relationship of the skin-friction coefficient, in the form of the ratio of the local free-stream velocity to the local friction velocity, to both Reynolds number and the Clauser parameter is explored. At large Reynolds numbers, a region of collapse is found that is well described by a simple log-like empirical relationship over two orders of magnitude. This is expected to be useful for constant adverse-pressure gradient flows. It is concluded that the present adverse pressure gradient boundary layers are far from an equilibrium state.

AB - We describe large-eddy simulations (LES) of the flat-plate turbulent boundary layer in the presence of an adverse pressure gradient. The stretched-vortex subgrid-scale model is used in the domain of the flow coupled to a wall model that explicitly accounts for the presence of a finite pressure gradient. The LES are designed to match recent experiments conducted at the University of Melbourne wind tunnel where a plate section with zero pressure gradient is followed by section with constant adverse pressure gradient. First, LES are described at Reynolds numbers based on the local free-stream velocity and the local momentum thickness in the range 6560-13,900 chosen to match the experimental conditions. This is followed by a discussion of further LES at Reynolds numbers at approximately 10 times and 100 times these values, which are well out of range of present day direct numerical simulation and wall-resolved LES. For the lower Reynolds number runs, mean velocity profiles, one-point turbulent statistics of the velocity fluctuations, skin friction and the Clauser and acceleration parameters along the streamwise, adverse pressure-gradient domain are compared to the experimental measurements. For the full range of LES, the relationship of the skin-friction coefficient, in the form of the ratio of the local free-stream velocity to the local friction velocity, to both Reynolds number and the Clauser parameter is explored. At large Reynolds numbers, a region of collapse is found that is well described by a simple log-like empirical relationship over two orders of magnitude. This is expected to be useful for constant adverse-pressure gradient flows. It is concluded that the present adverse pressure gradient boundary layers are far from an equilibrium state.

KW - Adverse pressure gradient

KW - Turbulent boundary layer

KW - Wall-model LES

UR - http://www.scopus.com/inward/record.url?scp=84888429853&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84888429853&partnerID=8YFLogxK

U2 - 10.1016/j.ijheatfluidflow.2013.06.011

DO - 10.1016/j.ijheatfluidflow.2013.06.011

M3 - Article

AN - SCOPUS:84888429853

VL - 44

SP - 293

EP - 300

JO - International Journal of Heat and Fluid Flow

JF - International Journal of Heat and Fluid Flow

SN - 0142-727X

ER -