Skip to main content
Article
Turbulent Viscosity Variability in Self-Preserving Far Wake with Zero Net Momentum
Physical Review E
  • Katya Dubrovin, Ben-Gurion University of the Negev - Beersheba, Israel
  • Ephim Golbraikh, Ben-Gurion University of the Negev - Beersheba, Israel
  • Michael Gedalin, Ben-Gurion University of the Negev - Beersheba, Israel
  • Alexander Soloviev, Nova Southeastern University
Document Type
Article
Publication Date
8-15-2011
Abstract
The profile of the self-preserving far wake with zero net momentum depends on the effective turbulent viscosity coefficient. The current model is based on the assumption of uniform viscosity in the wake cross section. It predicts the self-similar shape of the wake where the width W depends on the distance z from the body as W∝z1/5 for the axisymmetric case (or z1/4 for the plane case). The observed wake width, however, demonstrates the dependence W∝zα (where α⩽1/5). We generalize the model of a self-preserving far wake for the case of the turbulent viscosity coefficient depending on the radius. Additional integrals of motion allow a new family of self-similar profiles with α⩽1/5.
Comments

©2011 American Physical Society

ORCID ID
0000-0001-6519-1547
DOI
10.1103/PhysRevE.84.027302
Citation Information
Katya Dubrovin, Ephim Golbraikh, Michael Gedalin and Alexander Soloviev. "Turbulent Viscosity Variability in Self-Preserving Far Wake with Zero Net Momentum" Physical Review E Vol. 84 Iss. 2 (2011) p. 027302 ISSN: 1539-3755
Available at: http://works.bepress.com/alexander-soloviev/72/