Inertialess turbulence in viscoelastic pipe flow
Abstract
Turbulence is synonymous with inertia dominated fluid motion, entailing high velocities and large spatial scales. Conversely, in complex fluids, elastic material properties can promote and sustain turbulent-like motions even at arbitrarily small inertia. The common route to this purely elastic state of turbulence, however, strictly occurs only in specific flows with curved streamlines, thus excluding canonical cases such as pipe flow. Investigating dilute polymer solutions in pipe experiments across an unprecedented elasticity and viscosity range, we trace an instability, previously assumed to require finite inertia, to Reynolds numbers four orders of magnitude below the theoretically predicted minimum level. At sufficiently high polymer concentrations and large shear rates, an abrupt drop in the transition threshold confirms that the vanishing inertia limit has been reached, and consequently that the fluctuating motions observed are of purely elastic origin.
Related
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BibTeX
@misc{kamil2026inertialess,
title = {{Inertialess turbulence in viscoelastic pipe flow}},
author = {Shoaib Kamil and Björn Hof},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.16492},
eprint = {2609.16492},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.16492},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Inertialess turbulence in viscoelastic pipe flow
AU - Shoaib Kamil
AU - Björn Hof
PY - 2026
DA - 2026/09/15
PB - arXiv
DO - 10.48550/arxiv.2609.16492
UR - https://arxiv.org/abs/2609.16492
AB - Turbulence is synonymous with inertia dominated fluid motion, entailing high velocities and large spatial scales. Conversely, in complex fluids, elastic material properties can promote and sustain turbulent-like motions even at arbitrarily small inertia. The common route to this purely elastic state of turbulence, however, strictly occurs only in specific flows with curved streamlines, thus excluding canonical cases such as pipe flow. Investigating dilute polymer solutions in pipe experiments across an unprecedented elasticity and viscosity range, we trace an instability, previously assumed to require finite inertia, to Reynolds numbers four orders of magnitude below the theoretically predicted minimum level. At sufficiently high polymer concentrations and large shear rates, an abrupt drop in the transition threshold confirms that the vanishing inertia limit has been reached, and consequently that the fluctuating motions observed are of purely elastic origin.
ER -