Skip to main content

Bottlenecks in turbulent kinetic energy spectra predicted from structure function inflections using the Von Kármán-Howarth equation.

Publication ,  Journal Article
Katul, GG; Manes, C; Porporato, A; Bou-Zeid, E; Chamecki, M
Published in: Physical review. E, Statistical, nonlinear, and soft matter physics
September 2015

The compensated three-dimensional turbulent kinetic energy spectrum exhibits a peculiar bump at wave numbers in the vicinity of the crossover from inertial to viscous regimes due to pile up in turbulent kinetic energy, a phenomenon referred to as the bottleneck effect. The origin of this bump is linked to an inflection point in the second-order structure function in physical space caused by competition between vortex stretching and viscous diffusion mechanisms. The bump location and magnitude are reasonably predicted from a novel analytical solution to the Von Kármán-Howarth equation reflecting the competition between these two mechanisms and accounting for variable structure skewness with decreasing scale.

Duke Scholars

Published In

Physical review. E, Statistical, nonlinear, and soft matter physics

DOI

EISSN

1550-2376

ISSN

1539-3755

Publication Date

September 2015

Volume

92

Issue

3

Start / End Page

033009

Related Subject Headings

  • Fluids & Plasmas
  • 09 Engineering
  • 02 Physical Sciences
  • 01 Mathematical Sciences
 

Citation

APA
Chicago
ICMJE
MLA
NLM
Katul, G. G., Manes, C., Porporato, A., Bou-Zeid, E., & Chamecki, M. (2015). Bottlenecks in turbulent kinetic energy spectra predicted from structure function inflections using the Von Kármán-Howarth equation. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics, 92(3), 033009. https://doi.org/10.1103/physreve.92.033009
Katul, Gabriel G., Costantino Manes, Amilcare Porporato, Elie Bou-Zeid, and Marcelo Chamecki. “Bottlenecks in turbulent kinetic energy spectra predicted from structure function inflections using the Von Kármán-Howarth equation.Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics 92, no. 3 (September 2015): 033009. https://doi.org/10.1103/physreve.92.033009.
Katul GG, Manes C, Porporato A, Bou-Zeid E, Chamecki M. Bottlenecks in turbulent kinetic energy spectra predicted from structure function inflections using the Von Kármán-Howarth equation. Physical review E, Statistical, nonlinear, and soft matter physics. 2015 Sep;92(3):033009.
Katul, Gabriel G., et al. “Bottlenecks in turbulent kinetic energy spectra predicted from structure function inflections using the Von Kármán-Howarth equation.Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics, vol. 92, no. 3, Sept. 2015, p. 033009. Epmc, doi:10.1103/physreve.92.033009.
Katul GG, Manes C, Porporato A, Bou-Zeid E, Chamecki M. Bottlenecks in turbulent kinetic energy spectra predicted from structure function inflections using the Von Kármán-Howarth equation. Physical review E, Statistical, nonlinear, and soft matter physics. 2015 Sep;92(3):033009.

Published In

Physical review. E, Statistical, nonlinear, and soft matter physics

DOI

EISSN

1550-2376

ISSN

1539-3755

Publication Date

September 2015

Volume

92

Issue

3

Start / End Page

033009

Related Subject Headings

  • Fluids & Plasmas
  • 09 Engineering
  • 02 Physical Sciences
  • 01 Mathematical Sciences