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Pressure-Free Surface-Induced Flow by Geometric Rectification

Fluid Dynamics 2026-01-13 v3

Abstract

Pressure-driven flow collapses when confined (ur2u\propto r^{2}). Asymmetry rectifies surface activity (exchange or slip gradients) into axial flux at ΔP=0\Delta P=0 despite zero net exchange. Lorentz reciprocity yields a projection law: throughput is the inner product of source with a geometry kernel. Signatures include inverted ``narrower-is-faster'' scaling (ur1u\propto r^{-1}), leading-order viscosity independence, length amplification (QLQ\propto L), and linear superposition, defining surface-induced flow as a pressure-free Stokes-transport mode from microfluidics to physiology.

Keywords

Cite

@article{arxiv.2512.18351,
  title  = {Pressure-Free Surface-Induced Flow by Geometric Rectification},
  author = {Zheng Li},
  journal= {arXiv preprint arXiv:2512.18351},
  year   = {2026}
}
R2 v1 2026-07-01T08:34:50.959Z