GENERALIZED LAW OF THE WALL AND EDDY VISCOSITY MODEL FOR WALL BOUNDARY LAYERS
NEW YORK UNIV BRONX DEPT OF AERONAUTICS AND ASTRONAUTICS
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Based on the logarithmic velocity distribution at distances not so far from the wall and a turbulent shear variation proportional to the cubic power of the wall distance in the immediate proximity of the wall, an analytical model for an eddy viscosity throughout the wall region is derived leading to a closed form expression for the velocity distribution. An extension of the above analysis to include shear variation results in a generalized law of the wall from which the effect of Reynolds number on the velocity distribution is derived. While many applications of the generalized solution are envisaged, as an example, the velocity distribution for the case of injection or suction is considered. The theoretical result is shown to be in agreement with available experimental data.
- Fluid Mechanics