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Fractal behaviour of flow of inhomogeneous fluids over smooth inclined surfaces

Maleki-Jirsaraei, N ; Sharif University of Technology | 2004

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  1. Type of Document: Article
  2. DOI: 10.1088/0953-8984/16/15/003
  3. Publisher: 2004
  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 form. 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 while, if the entire pattern is taken, then a fractal dimension 1.6-1.7 is observed. The first fractal dimension belongs to the class of the 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
  6. Keywords:
  7. Analog to digital conversion ; Suspensions (fluids) ; Precipitation (chemical) ; Particle size analysis ; Mixtures ; Fractals ; Detergents ; Flow patterns
  8. Source: Journal of Physics Condensed Matter ; Volume 16, Issue 15 , 2004 , Pages 2497-2505 ; 09538984 (ISSN)
  9. URL: https://iopscience.iop.org/article/10.1088/0953-8984/16/15/003/meta