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Dimensionless wall distance (y plus)

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A non-dimensional wall distance for a wall-bounded flow can be defined in the following way:

y^+ \equiv \frac{u_* ;, y}{\nu}

Where u_* is the friction velocity at the nearest wall, y is the distance to the nearest wall and \nu is the local kinematic viscosity of the fluid.

y^+ is often refered to simply as y plus and is commonly used in boundary layer theory and in defining the law of the wall.

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