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Doubt about calculating the frictional velocity over an airfoil

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Old   November 13, 2012, 21:14
Default Doubt about calculating the frictional velocity over an airfoil
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Jorge
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Hi there,

Recently I read a post in a blog about estimating the initial cell height in a simulation of an aerofoil, this estimation includes the calculation of the frictional velocity over the aerofoil wall but the equation is not clearly written and I don't know if the right form is:

Vt = Vinf*2*(Cf)^0.5

or:

Vt = Vinf*(Cf*2)^0.5

Vinf : is the flow velocity
Cf : is the skin friction coefficient

Any help will be appreciated!
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Old   November 14, 2012, 01:32
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Lucky Tran
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Quote:
Originally Posted by Jorg View Post
Hi there,

Recently I read a post in a blog about estimating the initial cell height in a simulation of an aerofoil, this estimation includes the calculation of the frictional velocity over the aerofoil wall but the equation is not clearly written and I don't know if the right form is:

Vt = Vinf*2*(Cf)^0.5

or:

Vt = Vinf*(Cf*2)^0.5

Vinf : is the flow velocity
Cf : is the skin friction coefficient

Any help will be appreciated!
It looks mostly correct, however, I think it should be:

Vt = Vinf(Cf/2)^0.5

Starting with definition of Cf
Cf(0.5*density*Vinf^2) = Tau

Vt = sqrt(Tau/density) = sqrt ( 0.5*Cf*Vinf^2) = Vinf*sqrt(Cf/2)

That particular work may have used a different definition of friction coefficient so that a factor of 4 may have been introduced. Which would yield the formula you already provided.
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