2007 Volume 33 Issue 2 Pages 85-91
A new method to evaluate the mixing pattern of two fluids is proposed making use of multifractal analysis. The geometrical characteristics of mixing pattern are evaluated with two fractal dimensions: quasi-local fractal dimension q and quasi-global fractal dimension f(q). The relation between the two factors is expressed as a spectrum: q vs. f(q). The rigorous multifractal analysis contains the limiting operation to let cell size approach zero. In the present method, however, size of cell remains finite. As a result, it becomes easy to extract geometric characteristics in complex patterns. This evaluation method has been applied to binary mixing patterns, and its effectiveness and validity have been examined.