Turbulence effects of wall-pressure fluctuations for reattached flow

Abstract A methodology is presented to predict the frequency spectrum of fluctuating wall-pressures based on a steady Reynolds Averaged Navier Stokes (RANS) solution. The spectral modeling scheme solves a Poisson equation with a linear source term (LST) for the mean-velocity–turbulence interaction (MT) and non-linear source terms (NST) for the turbulence–turbulence interaction (TT). An anisotropic factor is used to account for the anisotropic features of the turbulence field. The prediction method was originally developed based on the equilibrium flow, i.e. turbulent flow with homogeneous and stationary characteristics, with the LST only. In this paper, the model is further applied to a non-equilibrium flow, i.e. flow over a backward facing step (BFS), to explore its predictability for the wall-pressure fluctuations. With the help of DNS results and experimental data for the BFSs, the model is investigated with the inclusion of NST. Prediction results demonstrate the impact of turbulence features of the wall shear layers to the predicted wall-pressure spectrum.

[1]  Sukumar Chakravarthy,et al.  Some algorithmic issues in viscous flows explored using a unified-grid CFD methodology , 1997 .

[2]  Mario J. Casarella,et al.  Spectral features of wall pressure fluctuations beneath turbulent boundary layers , 1991 .

[3]  T. Farabee,et al.  Effects of Surface Irregularity on Turbulent Boundary Layer Wall Pressure Fluctuations , 1984 .

[4]  M. Ghodbane,et al.  Surface pressure fluctuations in a separating turbulent boundary layer , 1987 .

[5]  N. Kasagi,et al.  Three-dimensional particle-tracking velocimetry measurement of turbulence statistics and energy budget in a backward-facing step flow , 1995 .

[6]  M. J. Casarella,et al.  Measurements of Fluctuating Wall Pressure for Separated/Reattached Boundary Layer Flows , 1986 .

[7]  P. Moin,et al.  Direct numerical simulation of turbulent flow over a backward-facing step , 1997, Journal of Fluid Mechanics.

[8]  P. Moin,et al.  Computation of Trailing-Edge Flow and Noise Using Large-Eddy Simulation , 2000 .

[9]  R. Kraichnan Pressure Fluctuations in Turbulent Flow over a Flat Plate , 1956 .

[10]  P. H. Bent,et al.  Surface pressure fluctuations on aircraft flaps and their correlation with far-field noise , 2000, Journal of Fluid Mechanics.

[11]  Theodore M. Farabee An experimental investigation of wall pressure fluctuations beneath non-equilibrium turbulent flows , 1986 .

[12]  S. Kravchenko,et al.  Wall pressure-fluctuation spectra at small backward-facing steps , 2000 .

[13]  M. Goody An experimental investigation of pressure fluctuations in three-dimensional turbulent boundary layers , 1999 .

[14]  D. Chase Modeling the wavevector-frequency spectrum of turbulent boundary layer wall pressure , 1980 .

[15]  William K. Blake,et al.  Modeling of Wall Pressure Fluctuations Based on Time Mean Flow Field , 2005 .

[16]  John Kim,et al.  On the structure of pressure fluctuations in simulated turbulent channel flow , 1989, Journal of Fluid Mechanics.

[17]  Thomas F. Brooks,et al.  Flap Edge Aeroacoustic Measurements and Predictions , 2000 .

[18]  Ronald L. Panton,et al.  Wall pressure spectra calculations for equilibrium boundary layers , 1974, Journal of Fluid Mechanics.

[19]  William K. Blake,et al.  Turbulent boundary-layer wall-pressure fluctuations on smooth and rough walls , 1970, Journal of Fluid Mechanics.

[20]  S. Kravchenko,et al.  Wall pressure-fluctuation spectra at small forward-facing steps , 1999 .

[21]  F. Fahy,et al.  Mechanics of flow-induced sound and vibration , 1989 .