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Understanding steady, laminar flow between parallel plates is essential for analyzing and designing flow in narrow rectangular channels, commonly found in various water conveyance and drainage systems. The Navier-Stokes equations govern fluid motion and are generally challenging to solve due to their nonlinearity. However, simplifications are possible in certain cases, like the steady laminar flow between parallel plates. For this scenario, we assume steady, incompressible, laminar flow.
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Momentum tunnelling between nanoscale liquid flows.

Baptiste Coquinot1,2, Anna T Bui3, Damien Toquer1

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This summary is machine-generated.

Liquid flow can unexpectedly induce flow in another liquid across a barrier, a phenomenon termed 'flow tunnelling'. This nanoscale effect is tunable via the confining material's electronic properties, impacting fluidic transport.

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Area of Science:

  • Nanoscale fluid dynamics
  • Condensed matter physics
  • Quantum mechanics

Background:

  • Fluid mechanics at the nanoscale bridges classical and quantum regimes.
  • Recent experiments show coupling between water transport and confining material electronics.
  • This necessitates new frameworks for understanding nanoscale hydrodynamic flows.

Purpose of the Study:

  • To investigate nanoscale hydrodynamic flows beyond continuum predictions.
  • To explore the coupling between liquid transport and electronic excitations.
  • To demonstrate and characterize 'flow tunnelling' at the nanoscale.

Main Methods:

  • Utilized a combination of many-body theory.
  • Employed molecular simulations to model liquid behavior.
  • Analyzed the interaction between liquid charge density fluctuations and solid electronic excitations.

Main Results:

  • Demonstrated that liquid flow can induce flow in another liquid across a separating wall.
  • Observed 'flow tunnelling' that contradicts continuum hydrodynamics.
  • Showed that flow tunnelling range is tunable via electronic excitations, peaking at resonance.

Conclusions:

  • Flow tunnelling is a significant phenomenon in nanoscale fluidic networks like graphene oxide and MXene membranes.
  • The electronic properties of confining materials can be exploited to manipulate liquid transport.
  • This opens avenues for controlling liquids based on dielectric spectra and electronic interactions.