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Related Experiment Video

Updated: May 31, 2026

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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Published on: July 19, 2016

Scalar decay in a three-dimensional chaotic flow.

K Ngan¹, J Vanneste

¹Met Office, Exeter EX1 3PB, United Kingdom. keith.ngan@metoffice.gov.uk

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

|July 7, 2011

Summary

This summary is machine-generated.

This study reveals two regimes of passive scalar decay in 3D chaotic flows. Theoretical predictions for 2D flows accurately describe 3D scalar decay, validating numerical simulations.

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Area of Science:

Fluid Dynamics
Computational Physics
Turbulence Research

Background:

Passive scalar decay is crucial for understanding mixing processes in various scientific fields.
Previous studies primarily focused on two-dimensional (2D) chaotic flows, with limited understanding in three-dimensional (3D) systems.
Chaotic flows exhibit complex velocity fields that significantly influence scalar transport and mixing.

Purpose of the Study:

To investigate the decay of a passive scalar in a 3D chaotic flow using high-resolution numerical simulations.
To determine if theoretical predictions for 2D flows are applicable to 3D chaotic systems.
To identify and characterize different regimes of scalar decay based on domain size and flow properties.

Main Methods:

High-resolution numerical simulations of a passive scalar in a 3D volume-preserving chaotic flow.
Utilizing a 3D extension of the randomized alternating sine flow model.
Analyzing variance decay rates, scalar field structures, and statistical moments over time.

Main Results:

Two distinct scalar decay regimes were identified: locally controlled (small domain) and globally controlled (large domain).
Theoretical predictions for 2D flows showed excellent agreement with numerical results in 3D, despite differences in flow stretching.
Scalar decay rates were found to be identical for forward and time-reversed flows, irrespective of scalar field structure.

Conclusions:

Theoretical models for 2D scalar decay are transferable to 3D chaotic flows.
The identified local and global regimes accurately describe passive scalar decay dynamics.
The symmetry of scalar decay rates in forward and time-reversed flows provides further insight into chaotic mixing mechanisms.