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Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section
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Entropy Wake Law for Streamwise Velocity Profiles in Smooth Rectangular Open Channels.

Domenica Mirauda1, Maria Grazia Russo2

  • 1School of Engineering, Basilicata University, Viale dell'Ateneo Lucano 10, 85100 Potenza, Italy.

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A new entropy law improves open channel flow velocity predictions by accounting for the velocity-dip phenomenon. This modified model accurately captures flow dynamics near the surface, outperforming existing methods.

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Area of Science:

  • Fluid Mechanics
  • Open Channel Flow

Background:

  • The velocity-dip phenomenon, where maximum longitudinal velocity occurs below the free surface in open channels, challenges existing flow models.
  • Standard entropy models struggle to accurately predict velocities near the free surface due to the velocity-dip effect.

Purpose of the Study:

  • To propose a novel dip-modified entropy law for steady open channel flows.
  • To enhance the accuracy of velocity predictions in the presence of the velocity-dip phenomenon.

Main Methods:

  • Developed a new entropy law incorporating three additional terms: a Coles' function-like term, a logarithmic distance term, and a cubic correction term.
  • Validated the proposed model using laboratory measurements in a straight rectangular flume with varying discharge, slope, and aspect ratio.

Main Results:

  • The new dip-modified entropy law demonstrated good agreement with laboratory data.
  • Achieved more accurate prediction of the velocity-dip position compared to the original entropy model.
  • The modified law showed excellent agreement with literature data for rectangular cross-sections.

Conclusions:

  • The proposed dip-modified entropy law effectively addresses the limitations of existing models in predicting open channel flow velocities.
  • The enhanced model provides a more accurate representation of flow dynamics, particularly near the free surface where the velocity-dip occurs.