Possible Enhanced Flux of Glassy Solid Helium in Cylindrical Corrugated Nanopores

TL;DR

This study models helium flow in nanopores with rough surfaces, showing that velocities in porous Vycor can be matched with parameters, but not in glass capillaries, suggesting surface effects influence helium flow.

Contribution

The paper introduces a boundary perturbation method to analyze helium flow in wavy-rough cylindrical nanopores, providing insights into flow behavior in different experimental setups.

Findings

Velocities in porous Vycor can be reproduced with appropriate parameters.

Flow velocities in glass capillaries are difficult to match with the model.

Surface roughness influences helium flow in nanopores.

Abstract

By using the glassy (helium-)fluid model and boundary perturbation method, we can obtain the velocity fields (as well as the flow rate; up to the second order) inside the wavy-rough cylindrical nanopores which are of the same size as those samples prepared by Kim and Chan as well as Day {\it et al.} Our results show that the velocities measured in porous Vycor samples could be reproduced by carefully selecting relevant parameters but those in glass capillaries are difficult to obtain.