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Uniform Depth Channel Flow: Problem Solving

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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Related Experiment Video

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Fabrication, Operation and Flow Visualization in Surface-acoustic-wave-driven Acoustic-counterflow Microfluidics
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Control algorithm for multiscale flow simulations of water.

Evangelos M Kotsalis1, Jens H Walther, Efthimios Kaxiras

  • 1ETH Zurich, CH-8092, Switzerland.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|June 13, 2009
PubMed
Summary
This summary is machine-generated.

We developed a multiscale algorithm to simulate water flow by coupling atomistic and continuum models. This method overcomes challenges with boundary conditions, accurately simulating water density profiles for equilibrium and Couette flow.

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Area of Science:

  • Computational physics
  • Multiscale modeling
  • Fluid dynamics

Background:

  • Coupling atomistic and continuum simulations presents challenges.
  • Inhomogeneities and boundary conditions affect atomistic water models.
  • Specular walls can cause spurious oscillations in water density.

Purpose of the Study:

  • To present a multiscale algorithm coupling atomistic water models with continuum flow simulations.
  • To address challenges with boundary conditions and density oscillations.
  • To validate a control algorithm for atomistic water simulations.

Main Methods:

  • Schwarz domain decomposition approach for multiscale coupling.
  • External boundary force to manage virial pressure component.
  • Extension of a control algorithm for monatomic molecules to atomistic water.

Main Results:

  • Successfully coupled atomistic water models with continuum incompressible flow.
  • Eliminated spurious density oscillations using an external boundary force.
  • Demonstrated the effectiveness of the control algorithm for atomistic water.

Conclusions:

  • The proposed computational method is effective for multiscale water simulations.
  • Validated for both equilibrium and Couette flow conditions.
  • Offers a robust approach for simulating water at different scales.