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Irrotational flow is characterized by fluid motion where particles do not rotate around their axes, resulting in zero vorticity. For a flow to be irrotational, the curl of the velocity field must be zero. This imposes specific conditions on velocity gradients. For instance, to maintain zero rotation about the z-axis, the gradient condition:
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To calculate the flow rate for a trapezoidal channel, first, identify the bottom width, side slope, and flow depth of the channel. The cross-sectional area (A) corresponding to the depth of flow (y), channel bottom width (B), and side slope (θ) is determined by:Next, calculate the wetted perimeter, which includes the bottom width and the sloped side lengths in contact with the water. Using the values of the cross-sectional area and the wetted perimeter, determine the hydraulic radius by...
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Uniform depth channel flow keeps fluid depth consistent along channels such as irrigation canals. In natural channels, such as rivers, approximate uniform flow is often assumed. This condition occurs when the channel’s bottom slope matches the energy slope, balancing potential energy lost from gravity with head loss due to shear stress. This balance prevents depth changes along the channel length, resulting in a steady, uniform flow.Uniform flow in open channels with a constant cross-section...
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Couette flow represents the flow of fluid between two parallel plates, with one plate fixed and the other moving with a constant velocity. This configuration allows for a simplified analysis using the Navier-Stokes equations, which govern fluid motion under conditions of viscosity and incompressibility. For Couette flow, the assumptions include a steady, laminar, incompressible flow with a zero-pressure gradient in the flow direction. This flow type is beneficial for understanding shear-driven...
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Robust boundary flow in chiral active fluid.

Xiang Yang1,2, Chenyang Ren1, Kangjun Cheng3

  • 1School of Physics and Astronomy and Institute of Natural Sciences, Shanghai Jiao Tong University, Shanghai 200240, China.

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|March 15, 2020
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Summary
This summary is machine-generated.

Active chiral fluids with self-spinning rotors create robust, unidirectional boundary flow. This flow

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Area of Science:

  • Physics
  • Soft Matter Physics
  • Fluid Dynamics

Background:

  • Active matter systems exhibit complex behaviors driven by internal energy conversion.
  • Chiral active fluids, with components having inherent handedness, display unique collective dynamics.
  • Confining boundaries significantly influence the emergent properties of active matter.

Purpose of the Study:

  • To investigate the emergence and characteristics of boundary-induced material flow in an active chiral fluid system.
  • To explore the effects of rotor density and boundary geometry on the stability and strength of the boundary flow.
  • To validate experimental findings with a theoretical continuum model.

Main Methods:

  • Experimental realization of an active chiral fluid using self-spinning rotors within a confining boundary.
  • Systematic variation of rotor density (area fraction, ϕ) and boundary shapes (flat, convex, concave).
  • Quantitative measurement of the unidirectional material flow along the boundary and comparison with a continuum theory.

Main Results:

  • A robust, unidirectional boundary flow consistently emerged across all tested conditions.
  • Flow strength exhibited a non-monotonic dependence on rotor density, peaking around ϕ=0.65.
  • Boundary curvature significantly impacted flow strength, with concave boundaries yielding stronger flows.

Conclusions:

  • The boundary flow in this active chiral fluid system is topologically protected and robust.
  • The observed phenomena can be accurately modeled by a continuum theory, highlighting the role of boundary friction.
  • This study opens avenues for developing novel functional materials leveraging controlled boundary flows.