Mixing layer instability and vorticity amplification in a creeping viscoelastic flow

A. Varshney, V. Steinberg, Physical Review Fluids 3 (2018) 103303.

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Journal Article | Published | English
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Abstract
We report quantitative evidence of mixing-layer elastic instability in a viscoelastic fluid flow between two widely spaced obstacles hindering a channel flow at Re 1 and Wi 1. Two mixing layers with nonuniform shear velocity profiles are formed in the region between the obstacles. The mixing-layer instability arises in the vicinity of an inflection point on the shear velocity profile with a steep variation in the elastic stress. The instability results in an intermittent appearance of small vortices in the mixing layers and an amplification of spatiotemporal averaged vorticity in the elastic turbulence regime. The latter is characterized through scaling of friction factor with Wi and both pressure and velocity spectra. Furthermore, the observations reported provide improved understanding of the stability of the mixing layer in a viscoelastic fluid at large elasticity, i.e., Wi 1 and Re 1 and oppose the current view of suppression of vorticity solely by polymer additives.
Publishing Year
Date Published
2018-10-16
Journal Title
Physical Review Fluids
Acknowledgement
This work was partially supported by the Israel Science Foundation (ISF; Grant No. 882/15) and the Binational USA-Israel Foundation (BSF; Grant No. 2016145).
Volume
3
Issue
10
Page
103303
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Varshney A, Steinberg V. Mixing layer instability and vorticity amplification in a creeping viscoelastic flow. Physical Review Fluids. 2018;3(10):103303. doi:10.1103/PhysRevFluids.3.103303
Varshney, A., & Steinberg, V. (2018). Mixing layer instability and vorticity amplification in a creeping viscoelastic flow. Physical Review Fluids, 3(10), 103303. https://doi.org/10.1103/PhysRevFluids.3.103303
Varshney, Atul, and Victor Steinberg. “Mixing Layer Instability and Vorticity Amplification in a Creeping Viscoelastic Flow.” Physical Review Fluids 3, no. 10 (2018): 103303. https://doi.org/10.1103/PhysRevFluids.3.103303.
A. Varshney and V. Steinberg, “Mixing layer instability and vorticity amplification in a creeping viscoelastic flow,” Physical Review Fluids, vol. 3, no. 10, p. 103303, 2018.
Varshney A, Steinberg V. 2018. Mixing layer instability and vorticity amplification in a creeping viscoelastic flow. Physical Review Fluids. 3(10), 103303.
Varshney, Atul, and Victor Steinberg. “Mixing Layer Instability and Vorticity Amplification in a Creeping Viscoelastic Flow.” Physical Review Fluids, vol. 3, no. 10, American Physical Society, 2018, p. 103303, doi:10.1103/PhysRevFluids.3.103303.
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