Effective model representation of the normal component of ordered motions in the wall region of a turbulent flow is proposed. Analysis of this model enables us to express the value given by the Van Driest damping function at a point with coordinate y (distance to the wall) as a relationship between intensities of the normal component of pulsations which are defined at points 2y, y, and y/2. The novel formula has no empirical coefficients and can successfully replace the Van Driest function in computations. It appears to take account of the damping effect which results locally from distinct classes of ordered motions directed wallwards or outwards within the wall region of a turbulent flow.

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