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A Surgical Procedure for Resecting the Mouse Rib: A Model for Large-Scale Long Bone Repair

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Published on: January 21, 2015

Drag reduction by riblets.

Ricardo García-Mayoral¹, Javier Jiménez

¹School of Aeronautics, Universidad Politécnica de Madrid, 28040 Madrid, Spain.

Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences

|March 9, 2011

Summary

This summary is machine-generated.

Riblets reduce drag effectively at small sizes, but performance degrades for larger riblets. Optimal drag reduction occurs when groove cross-section area is approximately 11, linked to spanwise vortex formation.

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Area of Science:

Fluid Dynamics
Turbulence Research
Surface Engineering

Background:

Riblets are micro-structured surfaces designed to reduce turbulent skin friction drag.
Their effectiveness is known to depend on geometric parameters and flow conditions.
Understanding the breakdown of drag reduction is crucial for optimizing riblet design.

Purpose of the Study:

To analyze the interaction between turbulent flow and riblets.
To investigate the impact of riblet geometry on drag reduction properties.
To identify the physical mechanisms behind the breakdown of drag reduction.

Main Methods:

Numerical analysis of turbulent flow over riblets.
Investigation of the relationship between riblet geometry (groove cross-section area) and drag reduction.
Stability analysis of the flow within riblet structures.

Main Results:

Drag reduction is proportional to riblet size in the viscous regime but breaks down for larger riblets.
The groove cross-section area (A(g)(+)) is a better predictor of breakdown than riblet spacing, with an optimum around A(g)(+1/2) ≈ 11.
Breakdown is linked to the emergence of quasi-two-dimensional spanwise vortices, not vortex lodging or Stokes hypothesis issues.

Conclusions:

The optimal riblet geometry for drag reduction is characterized by a specific groove cross-section area.
The drag reduction breakdown mechanism involves a Kelvin-Helmholtz-like instability leading to spanwise vortices.
A simplified stability model can approximate the scaling of viscous breakdown with groove geometry.