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Interpretation of Spalding's viscosity damping coefficient

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Old   March 6, 2019, 10:19
Default Interpretation of Spalding's viscosity damping coefficient
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According to Spalding's law of the wall we have

y^+ = u^+ + exp(-kB)(exp(ku^+) - 1 - ku^+ - \frac{(ku^+)^2}{2} - \frac{(ku^+)^3}{3})

leading to

\mu_t = \mu *  exp(-kB)(exp(ku^+) - 1 - ku^+ - \frac{(ku^+)^2}{2}) , which can be interpreted as a damping function applied to the viscosity.

How does this damping function behave (or should behave) as y^+ becomes large. Also up till what values of u^+ does the expression for y^+ hold? It seems that in order for the latter to be equal to, say, 100, a negative value for the former is needed. How is this possible?
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