NUMERICAL INVESTIGATION OF THE WALL PRESSURE FLUCTUATIONS IN CHANNEL FLOWS

Abstract Numerically simulated turbulent pressure fields in a plane channel and an annulus with a 5:1 ratio of radii are used to evaluate the spatial structure of pressure fluctuations at the walls. Wall-pressure correlation functions in the axial and azimuthal directions, spectra, correlation functions and angular correlations of the forces acting on the cylinders of the annulus are considered. It is found that no correlation exists between the pressure values at two points which are diametrically opposed to each other in the annulus. The spectrum of the forces starts with a zero value for small wave numbers, reaches its maximum at about unity wave number and then decreases, as a −7 3 rd power of the wave number.

[1]  W. Willmarth,et al.  Measurements of the fluctuating pressure at the wall beneath a thick turbulent boundary layer , 1962, Journal of Fluid Mechanics.

[2]  M. Livolant,et al.  Model experimentation and analysis of flow-induced vibrations of PWR internals , 1974 .

[3]  U. Schumann.  Subgrid Scale Model for Finite Difference Simulations of Turbulent Flows in Plane Channels and Annuli , 1975 .

[4]  Henry P. Bakewell.  Narrow‐Band Investigations of the Longitudinal Space‐Time Correlation Function in Turbulent Airflow , 1964 .

[5]  J. R. Reavis.  VIBRATION CORRELATION FOR MAXIMUM FUEL-ELEMENT DISPLACEMENT IN PARALLEL TURBULENT FLOW. , 1967 .

[6]  C. Lawn,et al.  Fully Developed Turbulent Flow through Concentric Annuli , 1972 .

[7]  J. Deardorff.  A numerical study of three-dimensional turbulent channel flow at large Reynolds numbers , 1970, Journal of Fluid Mechanics.

[8]  W. Willmarth.  Corrigendum: Measurements of the fluctuating pressure at the wall beneath a thick turbulent boundary layer , 1965, Journal of Fluid Mechanics.

[9]  J. Deardorff,et al.  Three-dimensional numerical study of turbulence in an entraining mixed layer , 1974 .

[10]  J. Kadlec,et al.  Flow induced rod vibrations of fast reactor subassemblies , 1970 .

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

[12]  U. Schumann.  Ein Verfahren zur direkten numerischen Simulation turbulenter Strömungen in Platten- und Ringspaltkanälen und über seine Anwendung zur Untersuchung von Turbulenzmodellen , 1973 .