# Why Stress-strain rate is equal to Vorticity in Boundary Layer?

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 December 27, 2012, 23:17 Why Stress-strain rate is equal to Vorticity in Boundary Layer? #1 New Member   Aladdin Join Date: Jan 2010 Posts: 26 Rep Power: 9 Sponsored Links Why Stress-strain rate is equal to Vorticity in Boundary Layer? Hi friends, Recently, I read some paper that said Stress-strain rate S is equal to Vorticity in Boundary Layer, Who can give me some expression about this. Thx.

December 28, 2012, 05:20
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Filippo Maria Denaro
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Quote:
 Originally Posted by aladdincham Why Stress-strain rate is equal to Vorticity in Boundary Layer? Hi friends, Recently, I read some paper that said Stress-strain rate S is equal to Vorticity in Boundary Layer, Who can give me some expression about this. Thx.

that is quite correct... consider a 2D flow over a flat plate, vorticity is z = du/dy - dv/dx, the stress at the wall is:

tau_wall = mu*du/dy|w = mu*(z + dv/dx)|w.

For a not permeable wall v=0 and tau_wall = mu*(z)|w

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