Further modeling of turbulent wall pressure on a cylinder for arbitrary boundary-layer thickness

The relation of the harmonic spectral densities p sub m (k, omega) of wall pressure on a cylinder in incompressible parallel flow to pure turbulent-stress sources at highly nonconvective (low) wavenumbers is formulated for arbitrarily large values of absolute value of ka and absolute value of k delta, as needed in application to towed-array noise. For the axisymmetric component of actual concern, the result to zero order in kU sub infinity omega is used in conjunction with model properties of the source spectra assumed in earlier work to characterize the dependence of the wall-pressure spectrum p sub o (k, omega) were absolute value of k delta or approx 1. The results tend to confirm, within the uncertainty of the source modeling, the kind of multiplicative dependence of p sub (k, sub o) on ka embodied in the current semiempirical model.