Viscous flow in a slit between two elastic plates

Christensen, Anneline H.; Jensen, Kaare H.

doi:10.1103/physrevfluids.5.044101

Cited by 8 publications

(5 citation statements)

References 23 publications

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“…In this approximately constantcurrent regime, the strong membrane deformation precisely balances the applied pressure pulse to generate isoflow conditions. Such flow rate plateaus are not uncommon in soft flow control systems, in fact, they are often followed by the complete closing (i.e., Q = 0) of the device [19,57,58]. In our device [Fig.…”

Section: Hydraulic Dampening Characteristicsmentioning

confidence: 84%

Smoothing Oscillatory Peristaltic Pump Flow with Bioinspired Passive Components

et al. 2022

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Pulsating flows are common in many industrial, scientific, and natural fluidic systems. However, because the oscillatory flow component disturbs, e.g., optical measurements, deposition, or industrial processes, it is rarely desired. Moreover, in physiological conditions, pulsation control is desired. We explore the effect of using a plant-inspired nonlinear resistor to smooth the output of a peristaltic pump. Incorporating a 3D printed millifluidic biomimetic device reduces the oscillation amplitudes by 3 orders of magnitude, from 100% to 0.1% of the output flow rate. This represents a tenfold improvement relative to a purely linear resistive-capacitive approach. The observed flow kinetics compare well to a predictive model of peristaltic transport, allowing the further development of optimized fluid-handling systems driven by pulsatile flow. Applications to particle tracking and jetting are considered.

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Section: Hydraulic Dampening Characteristicsmentioning

confidence: 84%

Smoothing Oscillatory Peristaltic Pump Flow with Bioinspired Passive Components

et al. 2022

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“…The recent model of viscous flow in a slit between two elastic plates by members of our team, Christensen and Jensen [ 9 ], provides a natural minimal framework, figure 1 . In their set-up, two flexible plates have a narrow slit between them, like astrocyte endfeet gaps.…”

Section: The Modelled Endfoot Valve Under Pressure Oscillationsmentioning

confidence: 99%

Astrocyte endfeet may theoretically act as valves to convert pressure oscillations to glymphatic flow

Bork

Ladrón-de-Guevara

Christensen

et al. 2023

J. R. Soc. Interface.

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The glymphatic system of cerebrospinal fluid transport through the perivascular spaces of the brain has been implicated in metabolic waste clearance, neurodegenerative diseases and in acute neurological disorders such as stroke and cardiac arrest. In other biological low-pressure fluid pathways such as in veins and the peripheral lymphatic system, valves play an important role in ensuring the flow direction. Though fluid pressure is low in the glymphatic system and directed bulk flow has been measured in pial and penetrating perivascular spaces, no valves have yet been identified. Valves, which asymmetrically favour forward flow to backward flow, would imply that the considerable oscillations in blood and ventricle volumes seen in magnetic resonance imaging could cause directed bulk flow. Here, we propose that astrocyte endfeet may act as such valves using a simple elastic mechanism. We combine a recent fluid mechanical model of viscous flow between elastic plates with recent measurements of in vivo elasticity of the brain to predict order of magnitude flow-characteristics of the valve. The modelled endfeet are effective at allowing forward while preventing backward flow.

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“…Artificial and biologically-inspired microfluidic networks are rapidly evolving to incorporate nonlinear elements and more complex topologies [30][31][32][33][34][35][36][37][38][39][40][41][42] , including several examples of artificial valves, some of which exhibit NDR 14,33,35,36,[42][43][44][45][46][47][48] . Although connecting these nonlinear valves in fluid networks could be straightforward, we will show that complex phenomena emerges when: (i) the system is able to locally store volume and (ii) the local volume changes are coupled to the pressure distribution along the system.…”

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confidence: 99%

The fluidic memristor as a collective phenomenon in elastohydrodynamic networks

Martínez-Calvo,

Biviano,

Christensen

et al. 2024

Nat Commun

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Fluid flow networks are ubiquitous and can be found in a broad range of contexts, from human-made systems such as water supply networks to living systems like animal and plant vasculature. In many cases, the elements forming these networks exhibit a highly non-linear pressure-flow relationship. Although we understand how these elements work individually, their collective behavior remains poorly understood. In this work, we combine experiments, theory, and numerical simulations to understand the main mechanisms underlying the collective behavior of soft flow networks with elements that exhibit negative differential resistance. Strikingly, our theoretical analysis and experiments reveal that a minimal network of nonlinear resistors, which we have termed a ‘fluidic memristor’, displays history-dependent resistance. This new class of element can be understood as a collection of hysteresis loops that allows this fluidic system to store information, and it can be directly used as a tunable resistor in fluidic setups. Our results provide insights that can inform other applications of fluid flow networks in soft materials science, biomedical settings, and soft robotics, and may also motivate new understanding of the flow networks involved in animal and plant physiology.

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Viscous flow in a slit between two elastic plates

Cited by 8 publications

References 23 publications

Smoothing Oscillatory Peristaltic Pump Flow with Bioinspired Passive Components

Smoothing Oscillatory Peristaltic Pump Flow with Bioinspired Passive Components

Astrocyte endfeet may theoretically act as valves to convert pressure oscillations to glymphatic flow

The fluidic memristor as a collective phenomenon in elastohydrodynamic networks

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