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Calculate velocity components from shear stress

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Old   August 29, 2011, 12:07
Default Calculate velocity components from shear stress
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Arne Stahlmann
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Hi all,

Regarding this thread, the shear stress at the boundary can be calculated either as tau = mu * (dU/dy), or by the Reynolds Stress Tensor.

The shear velocity can be calculated as u* = sqrt(tau/rho). In terms of calculating the absolute (magnitude) value, this is not a problem.
But how can I (technically) calculate the velocity components x, y, z, i.e. shear velocity components, assuming I have a 3D space? I'm not aware of any rule calculating the square root of a vector/tensor.

Any hints?

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