A THEORETICAL ESTIMATE OF TURBULENT WALL PRESSURE FLUCTUATIONS ON A COMPLIANT BOUNDARY
Abstract
A theoretical estimate is attempted for the effect of a compliant coating on turbulent boundary layer wall pressure fluctuations. The basic derivation shows that the problem reduces to one of finding the distribution in the wall plane of two correlations involving the wall pressure and its normal derivative. Exact expressions are derived for two-dimensional traveling wave pressure/velocity admittance of an isotropic elastic coating. These admittances are combined with some reasonable assumptions about the form of the pressure cross spectral density to yield approximate expressions for the two desired pressure/derivative correlations. Finally, two surface integrals of these correlations result in the wall pressure function in the presence of the compliant boundary. The calculations indicate that the compliant wall increases the mean square wall pressure at low speeds and decreases the pressure fluctuations at high speeds. Unfortunately, the reduction at high speeds probably cannot be achieved in practice because of the related mechanical problem of static divergence of the coating.
Document Details
- Document Type
- Technical Report
- Publication Date
- Nov 23, 1966
- Accession Number
- AD0646133
Entities
People
- Frank M. White
- Robert E. Quaglieri
Organizations
- Navy Underwater Sound Laboratory