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This paper continues the recent research of the authors concerning the interaction between the micro and macro flow structure domains (further on called IPmMD). The authors propose a probabilistic type approach of the IPmMD, in plane boundary layer, channel and pipe flows. This process, purely theoretical expressed by using transformations associated to transversal coordinate, tends to ensure the equipartition of the kinetic energy and to lead to a minimum in information transmission in the space-time ensemble. Taking into account several velocity distributions as not mutually exclusive events, new distributions are obtained by a probabilistic type union of the events. These new distributions present important aspects related to the classical transition from the laminar- to-turbulent regime. In this way, as an example, the parabolic-laminar and the linear distributions lead to a velocity distribution very close to experimental data corresponding to the rough pipe flow.

Velocity distribution as a result of the interaction between organizational processes in shear flows