How is wall shear stress defined on complex 3D surfaces?

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SUMMARY

The discussion focuses on calculating wall shear stress on complex 3D surfaces, specifically the surface of a golf ball. The speaker successfully computes shear stress on the spherical part of the golf ball using the tangential velocity aligned with the azimuthal plane. However, challenges arise in the dimples due to the infinite number of tangents, complicating the selection of a single tangential velocity. Additionally, it is noted that shear stress may be negligible at the deepest points of the dimples due to flow separation.

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  • Understanding of wall shear stress in fluid dynamics
  • Familiarity with 3D surface geometry and flow characteristics
  • Knowledge of computational fluid dynamics (CFD) principles
  • Experience with tangential velocity calculations in complex geometries
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Fluid dynamics engineers, computational fluid dynamics practitioners, and researchers studying flow behavior over complex 3D surfaces will benefit from this discussion.

nikosb
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I have computed the flow past a golfball and I am trying to calculate the shear stress on the surface of the golfball but I am having trouble figuring out how the wall shear stress is defined on 3D complex surfaces.
When I am on the main part of the golfball that it is similar to that of the sphere the calculation of the wall shear stress is straightforward. From the surface I move a distance "h" along the normal and compute the tangential velocity. In this case I choose the tangential velocity to be aligned with the azimuthal plane.
However when I am in the dimples, it is hard to choose a single tangential velocity as there are infinite number of tangents and not anyone of them is necessarily aligned with an azimuthal plane. How do I choose the tangential velocity in such a case?

Thanks
 
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Not sure how you do that as the flow across the dimples slip (or break off). You probably don't have any shear stress at the deepest point in the some of the dimples
 

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