TY - JOUR
T1 - Hydrodynamics of fractal continuum flow
AU - Balankin, Alexander S.
AU - Elizarraraz, Benjamin Espinoza
PY - 2012/2/13
Y1 - 2012/2/13
N2 - A model of fractal continuum flow employing local fractional differential operators is suggested. The generalizations of the Green-Gauss divergence and Reynolds transport theorems for a fractal continuum are suggested. The fundamental conservation laws and hydrodynamic equations for an anisotropic fractal continuum flow are derived. Some physical implications of the long-range correlations in the fractal continuum flow are briefly discussed. It is noteworthy to point out that the fractal (quasi)metric defined in this paper implies that the flow of an isotropic fractal continuum obeying the Mandelbrot rule of thumb for intersection is governed by conventional hydrodynamic equations.
AB - A model of fractal continuum flow employing local fractional differential operators is suggested. The generalizations of the Green-Gauss divergence and Reynolds transport theorems for a fractal continuum are suggested. The fundamental conservation laws and hydrodynamic equations for an anisotropic fractal continuum flow are derived. Some physical implications of the long-range correlations in the fractal continuum flow are briefly discussed. It is noteworthy to point out that the fractal (quasi)metric defined in this paper implies that the flow of an isotropic fractal continuum obeying the Mandelbrot rule of thumb for intersection is governed by conventional hydrodynamic equations.
UR - http://www.scopus.com/inward/record.url?scp=84857526837&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.85.025302
DO - 10.1103/PhysRevE.85.025302
M3 - Artículo
AN - SCOPUS:84857526837
SN - 1539-3755
VL - 85
JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
IS - 2
M1 - 025302
ER -