Turbulent wall pressure and wall shear fluctuations calculated from the Orr-Sommerfeld equation with nonlinear forcing terms
- Submarine Electromagnetic Systems Department, Naval Undersea Warfare Center, Newport Division, New London Detachment, New London, Connecticut 06320 (United States)
The wavenumber-frequency spectral densities of turbulent wall pressure fluctuations are investigated over a rigid flat plate. Nonlinear Reynolds stress terms of the inhomogeneous Orr-Sommerfeld equation are regarded as a known forcing function. The forcing function is modeled after Bark{close_quote}s hydrodynamic bursting formulation. The inhomogeneous Orr-Sommerfeld equation is solved by the method of Eckhaus in terms of discrete homogeneous solutions. The method of Eckhaus is then extended and proved for the continuous Orr-Sommerfeld eigenfunctions. Turbulent wall pressure fluctuations in terms of wavenumber-frequency spectral densities are numerically computed and compared to the experimental results of Martin as well as to his transformation of Blake{close_quote}s data fitted to a modified Corcos model. The wavenumber-frequency spectral densities numerically computed from the discrete eigenfunctions compared well with Martin{close_quote}s transformations on the convective ridge, but the continuous eigenfunctions made insignificant contributions there. However, it is shown that the continuous eigenfunction contributions compare well with the low-wavenumber, high-frequency wavenumber-frequency spectral density measurements of Martin. {copyright} {ital 1996 American Institute of Physics.}
- OSTI ID:
- 397381
- Journal Information:
- AIP Conference Proceedings, Vol. 375, Issue 1; Other Information: PBD: Jun 1996
- Country of Publication:
- United States
- Language:
- English
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