Taylor dispersion in a soft tube
Abstract
Diffusion of a solute along a tube is enhanced by hydrodynamic flow, a phenomenon known as Taylor dispersion. In microfluidic applications, the compliance of the tube boundaries modifies the hydrodynamic flow and thus solutal transport. Here, we develop the theory of solutal dispersion in a soft, axisymmetric tube where the tube walls respond to the hydrodynamic pressure through a Winkler response. By deriving the modified macro-transport equation for the solutal concentration dynamics based on multiple-time-scale analysis, we explore the influence of softness on solutal transport for steady and pulsatile configurations. Our main finding is that softness enhances the effective advection velocity and dispersion coefficient, which might have practical implication in biology and microfluidic technology.
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BibTeX
@misc{jha2026taylor,
title = {{Taylor dispersion in a soft tube}},
author = {Aditya Jha and Masoodah Gunny and Joshua D Mcgraw and Yacine Amarouchene and Thomas Salez},
howpublished = {HAL},
year = {2026},
month = sep,
eprint = {2604.05592},
archivePrefix = {arXiv},
url = {https://hal.science/hal-05581517v2},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Taylor dispersion in a soft tube
AU - Aditya Jha
AU - Masoodah Gunny
AU - Joshua D Mcgraw
AU - Yacine Amarouchene
AU - Thomas Salez
PY - 2026
DA - 2026/09/02
PB - HAL
UR - https://hal.science/hal-05581517v2
AB - Diffusion of a solute along a tube is enhanced by hydrodynamic flow, a phenomenon known as Taylor dispersion. In microfluidic applications, the compliance of the tube boundaries modifies the hydrodynamic flow and thus solutal transport. Here, we develop the theory of solutal dispersion in a soft, axisymmetric tube where the tube walls respond to the hydrodynamic pressure through a Winkler response. By deriving the modified macro-transport equation for the solutal concentration dynamics based on multiple-time-scale analysis, we explore the influence of softness on solutal transport for steady and pulsatile configurations. Our main finding is that softness enhances the effective advection velocity and dispersion coefficient, which might have practical implication in biology and microfluidic technology.
ER -