Pressure spectra for vortex models of fine-scale homogeneous turbulence

Pressure spectra at large wave numbers are calculated for Lundgren-Townsend vortex models of the fine scales of homogeneous turbulence. Specific results are given for the Burgers vortex and also for the Lundgren-strained spiral vortex. For the latter case, it is fqund that the contribution to the shell-summed spectrum produced by the interaction between the axisymmetric and nonaxisymmetric components of the velocity field is proportional to k-7’3 (k= lk[ is the modulus of the wave number) in agreement with Kolmogorov-type dimensional arguments. Numerical estimates of the dimensionless prefactors for this component are’obtained in Kolmogordv scaling variables and comparisons are made with results from the Batchelor-Kolmogorov theory, and with experimental measurement. 8 1995 American Institute of Physics.