The goal of this research project is to determine the fractal nature, if any, which
surface water waves exhibit when viewed on a microscopic scale. Due to the
relatively recent development of this area of mathematics, a brief introduction to the
study of fractal geometry, as well as several examples...
The goal of this research project is to determine the fractal nature, if any, which
certain surface water waves exhibit when viewed on a microscopic scale. We make
use of the mathematical formulation of non-viscous fluids describing their physical
properties. Using these expressions and including boundary conditions for free
surfaces...
The fractal dimension of measured ocean wave profiles is found to be in the range of 1.5-1.8. This non-integer dimension indicates the fractal nature of the waves. Standard formulations to analyze waves are based on a differential approach. Since fractals are non-differentiable, this formulation fails for waves with fractal characteristics....
A particle image velocimetry system was established to determine flow fields in low Reynolds number flows through a branching flow network. Due to the fabrication procedure of the test device, flows were limited to a Reynolds number of 1.5 in the largest channel. Data was acquired at each channel inlet,...