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PreprintCC BY 4.0arXiv

Pressure-drop localization and momentum insulation in liquid-gas coexistence Poiseuille flow

  • Naoko Nakagawa
  • Shin-ichi Sasa
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Abstract

We study Poiseuille flow of a one-component fluid between adiabatic plates in liquid-gas coexistence with a stationary interface. Using only bulk transport laws and particle and energy conservation, we identify small dimensionless parameters AL and AG governed by squared microscopic-to-macroscopic length ratios. In weak driving with macroscopic bulk regions and a regular interfacial temperature response, the pressure drop is concentrated across the interface, strongly suppressing the particle current. For equal-temperature reservoirs, the residual current produces interfacial cooling. Experimental feasibility is also discussed.

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Cite

BibTeXRIS
BibTeX
@misc{nakagawa2026pressuredrop,
  title = {{Pressure-drop localization and momentum insulation in liquid-gas coexistence Poiseuille flow}},
  author = {Naoko Nakagawa and Shin-ichi Sasa},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2607.02310},
  eprint = {2607.02310},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2607.02310},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Pressure-drop localization and momentum insulation in liquid-gas coexistence Poiseuille flow
AU  - Naoko Nakagawa
AU  - Shin-ichi Sasa
PY  - 2026
DA  - 2026/09/27
PB  - arXiv
DO  - 10.48550/arxiv.2607.02310
UR  - https://arxiv.org/abs/2607.02310
AB  - We study Poiseuille flow of a one-component fluid between adiabatic plates in liquid-gas coexistence with a stationary interface. Using only bulk transport laws and particle and energy conservation, we identify small dimensionless parameters A^L and A^G governed by squared microscopic-to-macroscopic length ratios. In weak driving with macroscopic bulk regions and a regular interfacial temperature response, the pressure drop is concentrated across the interface, strongly suppressing the particle current. For equal-temperature reservoirs, the residual current produces interfacial cooling. Experimental feasibility is also discussed.
ER  -