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Related Concept Videos

Steady, Laminar Flow Between Parallel Plates01:17

Steady, Laminar Flow Between Parallel Plates

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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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Steady, Laminar Flow in Circular Tubes01:23

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Hagen-Poiseuille flow describes a viscous fluid's steady, incompressible flow through a cylindrical tube with a constant radius R. This flow profile is often applied to understand fluid transport in narrow channels, such as capillaries. It serves as a foundational example of laminar flow. In this model, cylindrical coordinates (r,θ,z) are used to describe the radial (r), angular (θ), and axial (z) dimensions within the tube. For Hagen-Poiseuille flow, the velocity profile is purely axial,...
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Capillarity in Fluid01:19

Capillarity in Fluid

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Capillarity describes the movement of liquid in small spaces without external forces acting on it. The capillarity is driven by surface tension and adhesive interactions between the liquid and surrounding solid surfaces. This effect is often seen in narrow tubes, porous materials, and fine particles.
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Understanding fluid flow behavior through pipes is critical in fluid mechanics, especially in applications like oil transportation through pipelines. Hagen-Poiseuille's law provides an exact solution derived from the Navier-Stokes equations for steady, incompressible, and laminar flow within a circular pipe. Hagen-Poiseuille's law helps determine the necessary pressure drop across a pipeline section by determining parameters like pipe length, radius, oil viscosity, and the desired volumetric...
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When a flat plate is submerged in a fluid, the fluid exerts pressure on the plate. This pressure can lead to many different phenomena, including drag and buoyancy. To understand the behavior of the fluid over a flat plate of variable width, it is essential to analyze the distribution of the pressure exerted.
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Laminar Flow

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Laminar flow represents a smooth, orderly fluid motion where particles move along parallel paths, resulting in minimal mixing between layers. Streamlined particle paths characterize this flow regime and occur under conditions where viscous forces dominate over inertial forces. The distinction between laminar, transitional, and turbulent flow is primarily determined by the Reynolds number, a dimensionless quantity calculated as:
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Directional Liquid Wicking in Regular Arrays of Triangular Posts.

Ban-Yang Liu1,2, Ralf Seemann2, Li-Jen Chen1

  • 1Department of Chemical Engineering , National Taiwan University , 10617 Taipei , Taiwan.

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|November 15, 2019
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Summary

Spontaneous liquid wicking into micropatterned posts occurs only when the liquid film is in its lowest energy state. Meniscus stability dictates wicking direction, enabling microfluidic rectifier applications.

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Area of Science:

  • Physics
  • Materials Science
  • Fluid Dynamics

Background:

  • Understanding liquid behavior in microscale patterns is crucial for microfluidic devices.
  • Wetting phenomena in engineered surfaces influence capillary-driven transport.

Purpose of the Study:

  • To investigate the conditions governing spontaneous directional wicking of wetting liquids into micropatterned posts.
  • To explore the relationship between surface energy, liquid morphology, and wicking direction.

Main Methods:

  • Experimental fabrication of regular micropost arrays using photolithography.
  • Numerical energy minimization to model liquid film morphology and interfacial free energy.
  • Analysis of wicking behavior based on line fractions and aspect ratios.

Main Results:

  • Spontaneous wicking observed only for specific line fractions and aspect ratios favoring lowest interfacial free energy.
  • Numerical simulations confirmed that the absence of local energy minima correlates with spontaneous wicking.
  • Terminal meniscus stability was identified as the key factor controlling wicking direction relative to post orientation.

Conclusions:

  • The study establishes clear criteria for achieving directional spontaneous wicking in micropatterned surfaces.
  • The findings demonstrate that meniscus orientation stability can direct liquid flow.
  • This selectivity offers potential for developing novel microfluidic rectifiers for partially wetting liquids.