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Fractal flow of inhomogeneous fluids over smooth inclined surfaces and determination of their fractal dimensions and universality classes

Maleki Jirsaraei, N ; Sharif University of Technology | 2005

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  1. Type of Document: Article
  2. DOI: 10.1088/0953-8984/17/14/011
  3. Publisher: 2005
  4. Abstract:
  5. Patterns formed by the flow of an inhomogeneous fluid (suspension) over a smooth inclined surface were studied. It was observed that fractal patterns are formed. There exists a threshold angle for the inclination above which global fractal patterns are formed. This angle depends on the particle size of the suspension. We observed that there are two fractal dimensions for these patterns, depending on the area from which the pattern is extracted. If the pattern is taken from the top which only consists of the beginning steps of the pattern forming, one finds two fractal dimensions, i.e. 1.35-1.45 and 1.6-1.7, in which the first one is dominant. And if the entire pattern is taken, then fractal dimension 1.6-1.7 is observed. The first fractal dimension belongs to the class of flow of water over an inhomogeneous surface, and the second one corresponds to the river network. This may imply that both universality classes are present. However, here disorder is present in the fluid and is transferred to the surface. We have also determined the fractal dimension of the patterns formed below the threshold angle. Testing Horton's laws on different patterns does not lead to a conclusive result. More investigations may give a reliable conclusion. © 2005 IOP Publishing Ltd
  6. Keywords:
  7. Fractals ; Particle size analysis ; Precipitation (chemical) ; Surface phenomena ; Surface roughness ; Suspensions (fluids) ; Fractal patterns ; Nonlinear transport ; Pattern formation ; Threshold angle ; Flow of fluids
  8. Source: Journal of Physics Condensed Matter ; Volume 17, Issue 14 , 2005 , Pages S1219-S1227 ; 09538984 (ISSN)
  9. URL: https://iopscience.iop.org/article/10.1088/0953-8984/17/14/010/meta