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Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section

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Structure-function scaling of bounded two-dimensional turbulence.

W Kramer¹, G H Keetels, H J H Clercx

¹Fluid Dynamics Laboratory, Department of Physics, Eindhoven University of Technology, P.O. Box 513, 5600 MB Eindhoven, The Netherlands.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|September 21, 2011

Summary

This summary is machine-generated.

Numerical simulations reveal that while 2D turbulence in channel flows is largely isotropic in the interior, no-slip walls induce strong anisotropy. The enstrophy cascade deviates from classical theories near boundaries.

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Area of Science:

Fluid Dynamics
Computational Physics
Turbulence Research

Background:

Investigating statistical properties of forced two-dimensional turbulence.
Examining turbulence in square and periodic channel domains with no-slip sidewalls.
Focusing on the direct enstrophy cascade range and boundary effects.

Purpose of the Study:

To analyze how statistical properties of 2D turbulence change near no-slip boundaries.
To compare scaling exponents of structure functions with the Kraichnan-Batchelor-Leith (KBL) theory.
To assess isotropy, homogeneity, and intermittency in different flow domains.

Main Methods:

Numerical simulations of forced two-dimensional turbulence.
Analysis of velocity and vorticity structure functions.
Comparison with theoretical predictions (KBL theory).

Main Results:

Turbulence in the flow interior is statistically isotropic and locally homogeneous in the enstrophy cascade range, exhibiting weak intermittency.
The vorticity structure function scaling suggests a steeper energy spectrum slope than predicted by KBL theory.
Strong anisotropy is observed near the walls across all flow scales.

Conclusions:

No-slip boundaries significantly impact the statistical properties of 2D turbulence, particularly near walls.
Deviations from KBL theory predictions highlight the influence of boundary conditions on turbulence scaling.
The study provides insights into anisotropic turbulence phenomena in confined geometries.