The Energy Decay in Self-Preserving Isotropic Turbulence Revisited.
Abstract
Despite the fact that isotropic turbulence constitutes the simplest type of turbulent flow, it is still not possible to render the problem analytically tractable without the introduction of additional hypotheses. The idealization of self-preservation - wherein the two-point double and triple longitudinal velocity correlations are assumed to admit self-similar solutions with respect to a single length scale has served as a useful hypothesis since its introduction by von Karman and Howarth (1938). In another classic paper that followed, Batchelor (1948) studied the energy decay in self-preserving isotropic turbulence in considerable detail. He concluded that the only complete self- preserving solutions that were internally consistent existed at low turbulence Reynolds numbers where the turbulent kinetic energy a power law consistent with the final period of decay. Batchelor (1948) also found a self-preserving solution to the Karman-Howarth equation in the limit of infinite Reynolds numbers for which Loitsianskii's integral was an invariant.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 01, 1991
- Accession Number
- ADA240187
Entities
People
- Charles G. Speziale
- Peter S. Bernard