Turbulent Viscosity Variability in Self-Preserving Far Wake with Zero Net Momentum

Authors

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 UniversityFollow

ORCID

0000-0001-6519-1547

Document Type

Article

Publication Title

Physical Review E

ISSN

1539-3755

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∝z^1/5 for the axisymmetric case (or z^1/4 for the plane case). The observed wake width, however, demonstrates the dependence W∝z^α (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.

DOI

10.1103/PhysRevE.84.027302

Volume

84

Issue

2

First Page

027302

Comments

©2011 American Physical Society

NSUWorks Citation

Katya Dubrovin, Ephim Golbraikh, Michael Gedalin, and Alexander Soloviev. 2011. Turbulent Viscosity Variability in Self-Preserving Far Wake with Zero Net Momentum .Physical Review E , (2) : 027302 . https://nsuworks.nova.edu/occ_facarticles/739.