Our analysis is based on the interaction of small particles and fluid, under the fractional vision of Navier-Stokes equations. A proposal for a relationship between Feigenbaum constant and spatial occupation index, through the link with the diameter exponent of the particle considered is obtained. Power of particle size decreases from the value 2 for the linear viscous layer, move through inertial range, until reaching the inverse of Feigenbaum constant, in the developed turbulence regime. An arboreal fractal structure for laminar sublayer and inertial range is also proposed. Subsequently, a generalized Rubey model and a discrepancy number to evaluate models with respect to Stokes are formulated..
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