A one-dimensional model for compressible fluid flows through deformable microchannels

Mehboudi, Aryan; Yeom, Junghoon

doi:10.1063/1.5043202

Cited by 19 publications

(7 citation statements)

References 38 publications

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“…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%

Revisiting steady viscous flow of a generalized Newtonian fluid through a slender elastic tube using shell theory

Anand

Christov

2020

Z Angew Math Mech

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A flow vessel with an elastic wall can deform significantly due to viscous fluid flow within it, even at vanishing Reynolds number (no fluid inertia). Deformation leads to an enhancement of throughput due to the change in cross‐sectional area. The latter gives rise to a non‐constant pressure gradient in the flow‐wise direction and, hence, to a nonlinear flow rate–pressure drop relation (unlike the Hagen–Poiseuille law for a rigid tube). Many biofluids are non‐Newtonian, and are well approximated by generalized Newtonian (say, power‐law) rheological models. Consequently, we analyze the problem of steady low Reynolds number flow of a generalized Newtonian fluid through a slender elastic tube by coupling fluid lubrication theory to a structural problem posed in terms of Donnell shell theory. A perturbative approach (in the slenderness parameter) yields analytical solutions for both the flow and the deformation. Using matched asymptotics, we obtain a uniformly valid solution for the tube's radial displacement, which features both a boundary layer and a corner layer caused by localized bending near the clamped ends. In doing so, we obtain a “generalized Hagen–Poiseuille law” for soft microtubes. We benchmark the mathematical predictions against three‐dimensional two‐way coupled direct numerical simulations (DNS) of flow and deformation performed using the commercial computational engineering platform by ANSYS. The simulations show good agreement and establish the range of validity of the theory. Finally, we discuss the implications of the theory on the problem of the flow‐induced deformation of a blood vessel, which is featured in some textbooks.

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Section: Discussionmentioning

confidence: 99%

Revisiting steady viscous flow of a generalized Newtonian fluid through a slender elastic tube using shell theory

Anand

Christov

2020

Z Angew Math Mech

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“…This design does not require complicated instruments to operate, and has been used for clog-free filtration of cancer cells [9], as a Stokes flow rectifier [10], and as an optofluidics sensing device [11]. Unlike a rigid microchannel, which can generate sealing and clogging issues, a deformable microchannel can be programmed to change the geometry for precise particle release and deposition [12].…”

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confidence: 99%

Experimental and theoretical study on the microparticle trapping and release in a deformable nano-sieve channel

Chen

Falzon

Zhang³

et al. 2019

Nanotechnology

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Deformable microfluidics may be potentially used in cell manipulation, optical sensing, and imaging applications, and have drawn considerable scientific interests in the recent past. The excellent tunability of deformable microfluidic devices can provide controllable capture, deposition, and target release. We demonstrated a one-dimensional nano-sieve device to capture microparticles from suspensions. Size-selective capturing and release of micro-and nanoparticles was achieved by simply adjusting the flow rate. Almost all the microparticles were trapped in the nano-sieve device at a flow rate of 20 μl min −1 . Increasing the flow rate induces a hydrodynamic deformation of the roof of the compliant device and allows most of the microparticles to pass through the channel. We also established a theoretical model based on computational fluid dynamics to reveal the relationship of the hydrodynamically induced deformation, channel dimensions, and capture efficiency that supports and rationalizes the experimental data. We have predicted the capture efficiency of micro-and nanoparticles in a nano-sieve device with various geometries and flow rates. This study may be important to the optimization of next generation deformable microfluidics for efficient micro-and nanostructure manipulations.

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“…Despite recent advancements in flexible microfluidic devices, such as those designed for wearable applications, phenomena arising from fluid-structure interaction at both molecular and device scales have yet to be fully explored. The field of micro elastofluidics will benefit from substantial advancements in computational Fluid-Structure Interaction (FSI) methods [17][18][19]. These computational techniques are crucial for designing, optimizing, and understanding mechanisms that 2 rely on the intricate interactions between fluidic and structural dynamics at the microscale.…”

Section: Introductionmentioning

confidence: 99%

Computational Fluid-Structure Interaction in Microfluidics

Musharaf,

Roshan,

Mudugamuwa

et al. 2024

Preprint

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Micro elastofluidics is a transformative branch of microfluidics, leveraging fluid-structure interaction (FSI) at the microscale to enhance the functionality and efficiency of various microdevices. This review paper elucidates the critical role of advanced computational FSI methods in the field of micro elastofluidics. By focusing on the interplay between fluid mechanics and structural responses, these computational methods facilitate the intricate design and optimisation of microdevices such as microvalves, micropumps, and micromixers, which rely on the precise control of fluidic and structural dynamics. In addition, these computational tools extend to the development of biomedical devices, enabling precise particle manipulation and enhancing therapeutic outcomes in cardiovascular applications. Furthermore, this paper addresses the current challenges in computational FSI and highlights the necessity for further development of tools to tackle complex, time-dependent models under microfluidic environments and varying conditions. Our review highlights the expanding potential of FSI in micro elastofluidics, offering a roadmap for future research and development in this promising area.

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A one-dimensional model for compressible fluid flows through deformable microchannels

Cited by 19 publications

References 38 publications

Revisiting steady viscous flow of a generalized Newtonian fluid through a slender elastic tube using shell theory

Revisiting steady viscous flow of a generalized Newtonian fluid through a slender elastic tube using shell theory

Experimental and theoretical study on the microparticle trapping and release in a deformable nano-sieve channel

Computational Fluid-Structure Interaction in Microfluidics

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