2018
DOI: 10.1017/jfm.2018.287
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Transient gas flow in elastic microchannels

Abstract: We study pressure-driven propagation of gas into a two-dimensional microchannel bounded by linearly elastic substrates. Relevant fields of application include lab-on-a-chip devices, soft robotics and respiratory flows. Applying the lubrication approximation, the flow field is governed by the interaction between elasticity and viscosity, as well as weak rarefaction and low-Mach-number compressibility effects, characteristic of gaseous microflows. A governing equation describing the evolution of channel height i… Show more

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Cited by 15 publications
(12 citation statements)
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“…Future work could include extending our results to rarefied (gas) flows at or below that micron scale, which brings up the issue of wall slip and compressibility [55]. It would also be of interest to determine the first correction due to friction at the lateral side walls, i.e., to relax the assumption δ 1.…”
Section: Resultsmentioning
confidence: 99%
“…Future work could include extending our results to rarefied (gas) flows at or below that micron scale, which brings up the issue of wall slip and compressibility [55]. It would also be of interest to determine the first correction due to friction at the lateral side walls, i.e., to relax the assumption δ 1.…”
Section: Resultsmentioning
confidence: 99%
“…For example, the material composing the tube may not be only elastic but also porous (i.e., poroelastic ) [95]. It may also be worthwhile to consider microflows of gases in elastic tubes, which necessitates accounting for compressibility of the fluid [96, 97] and, possibly, wall slip [98, 99]. Another potential avenue for future research stems from the fact that many soft biological tissues are hyperelastic .…”
Section: Discussionmentioning
confidence: 99%
“…Most soft robots are actuated pneumatically [40] Thus, understanding compressible flows interacting with compliant viscoelastic structures may provide insight into the design of pneumatically actuated biomimetic soft robots. So far, however, the FSI literature on viscoelastic (see, e.g., [36]) or elastic (see, e.g., [21,24,41,42]) tubes with transient (inertial) response has only considered incompressible flow, while the FSI literature on compressible (and variable density) flows has only dealt with linearly elastic structures [e.g. 24,43,44], except for some systems-level modeling of wave speeds for water hammer phenomena in viscoelastic tubes [45,46] at large Re.…”
Section: Introductionmentioning
confidence: 99%
“…So far, however, the FSI literature on viscoelastic (see, e.g., [36]) or elastic (see, e.g., [21,24,41,42]) tubes with transient (inertial) response has only considered incompressible flow, while the FSI literature on compressible (and variable density) flows has only dealt with linearly elastic structures [e.g. 24,43,44], except for some systems-level modeling of wave speeds for water hammer phenomena in viscoelastic tubes [45,46] at large Re. The present work fills a knowledge gap on low Re compressible flow in viscoelastic tubes with transient response.…”
Section: Introductionmentioning
confidence: 99%
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