2021/01/06 by Bowen Yang, Guowei He, Yang, Bowen +3
Engineering · Physics and Astronomy · #Aerodynamics and Acoustics in Jet Flows #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Fluid Dynamics and Turbulent Flows #Heat Transfer Mechanisms #physics.flu-dyn
paper · pdf · doi:10.48550/arxiv.2101.01948
We decide to withdraw this manuscript since it is still under revision. The earlier version can be found in [v1]. We apologize for any inconvenience
openalex publication_date 2021/01/06 · arxiv created 2021/01/14 · arxiv updated 2021/01/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The characteristics of the wavenumber-frequency spectra of the rapid, slow and total wall pressure fluctuations are investigated using direct numerical simulation (DNS) of turbulent channel flow up to \Reyτ≈ 1000. For the wavenumber-frequency spectra of the total wall pressure fluctuations, a valley-like behavior of contour lines in the sub-convective region is found, which may be linked to the Kraichnan-Phillips theorem. For the decomposition of the wall pressure spectra, it is commonly assumed in previous studies that the cross spectral density (CSD) between the rapid and slow components of the wall pressure fluctuations can be neglected. Yet no experimental or numerical evidence is available for either confirming or disproving this assumption. In this paper, we use DNS data to quantitatively evaluate this assumption. Emphasizes are put on the error in decibel scale caused by neglecting the CSD between the rapid and slow components of the wall pressure fluctuations. It is found that this assumption is approximately accurate for one- and two-dimensional spectra, but causes a large magnitude of error in the three-dimensional wavenumber-frequency spectra. An error of 5dB is observed in the sub-convective region and such a large error is observed for a wide range of Reynolds numbers (180≤\Reyτ≤ 1000). The analyses show that the assumption of neglecting the CSD needs to be applied carefully at the scales falling in the sub-convective region.