Pressure-Free Surface-Induced Flow by Geometric Rectification
Fluid Dynamics
2026-01-13 v3
Abstract
Pressure-driven flow collapses when confined (). Asymmetry rectifies surface activity (exchange or slip gradients) into axial flux at 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 (), leading-order viscosity independence, length amplification (), and linear superposition, defining surface-induced flow as a pressure-free Stokes-transport mode from microfluidics to physiology.
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}
}