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Updated: Dec 18, 2025

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Published on: April 25, 2019
Three-dimensional structures and symmetry breaking in viscoelastic cross-channel flow
Boyang Qin1, Ranjiangshang Ran, Paul F Salipante
1Department of Mechanical Engineering & Applied Mechanics, University of Pennsylvania, Philadelphia, 19104, USA. parratia@seas.upenn.edu.
Researchers visualized the 3D flow structure of viscoelastic instability in cross-channel flow. Tertiary flow emerges beyond a critical Weissenberg number (Wi), causing symmetry breaking and complex structures potentially seen in elastic turbulence.
Area of Science:
- Fluid Dynamics
- Rheology
- Non-Newtonian Flows
Background:
- Viscoelastic instabilities are crucial in microfluidic devices and polymer processing.
- Understanding the 3D flow dynamics is key to controlling these instabilities.
- Previous studies often lacked detailed 3D structural information.
Purpose of the Study:
- To elucidate the three-dimensional flow structure of viscoelastic instability in cross-channel flow.
- To identify the onset and characteristics of tertiary flow.
- To investigate the relationship between flow structure and symmetry breaking.
Main Methods:
- Holographic particle tracking velocimetry (HPV) for high-resolution 3D velocity measurements.
- Cross-channel flow geometry to study impinging viscoelastic streams.
- Varying the Weissenberg number (Wi) to probe instability regimes.
Main Results:
- Observed emergence of tertiary flow beyond a critical Wi, forming toroidal vortices.
- Identified out-of-plane flow component distorting the flow separatrix.
- Demonstrated symmetry breaking normal to the extension plane.
- Noted propagation of disturbances upstream via stress fluctuations.
Conclusions:
- The study reveals complex 3D flow structures organizing viscoelastic instability.
- Observed phenomena, including symmetry breaking and upstream disturbance propagation, offer insights into elastic turbulence.
- These findings may be generalizable to other mixed viscoelastic flows.
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