Microflow: Thermal Changes suggest a Phonon-like Liquid Transport
Abstract
We knew that classical thermal assumptions, such as Fourier's law, were no longer valid at very small scales; Here, we highlight thermal effects occurring in the absence of a heat source and at a much larger scale (sub-millimeter scale) during the flow of Newtonian fluids such as water. The emergence of non-equilibrium temperatures is the strong indication that non-diffusive processes govern microflows. We relate this mechano-caloric conversion to the excitation of shear elastic modes existing in confined liquids. We establish a linear relationship between flow-induced temperatures and the applied pressure gradient within a low pressure range (<1 bar). These results are consistent with non-extensive models incorporating parameters that allow for a spatiotemporal mesoscopic description, suggesting a phonon-like propagation of thermal waves in mesoscopic liquids.
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BibTeX
@misc{noirez2026microflow,
title = {{Microflow: Thermal Changes suggest a Phonon-like Liquid Transport}},
author = {Laurence Noirez},
howpublished = {HAL},
year = {2026},
month = sep,
url = {https://hal.science/hal-05752661v1},
note = {CC BY-NC-ND 4.0},
}
RIS
TY - UNPB
TI - Microflow: Thermal Changes suggest a Phonon-like Liquid Transport
AU - Laurence Noirez
PY - 2026
DA - 2026/09/17
PB - HAL
UR - https://hal.science/hal-05752661v1
AB - We knew that classical thermal assumptions, such as Fourier's law, were no longer valid at very small scales; Here, we highlight thermal effects occurring in the absence of a heat source and at a much larger scale (sub-millimeter scale) during the flow of Newtonian fluids such as water. The emergence of non-equilibrium temperatures is the strong indication that non-diffusive processes govern microflows. We relate this mechano-caloric conversion to the excitation of shear elastic modes existing in confined liquids. We establish a linear relationship between flow-induced temperatures and the applied pressure gradient within a low pressure range (<1 bar). These results are consistent with non-extensive models incorporating parameters that allow for a spatiotemporal mesoscopic description, suggesting a phonon-like propagation of thermal waves in mesoscopic liquids.
ER -