The picture seems very often better when its size is increased. The study of turbulence in flows is very adapted to fractals. Turbulent flows are chaotic and very difficult to model correctly. A fractal representation of them helps engineers and physicists to better understand complex flows. Flames can also be simulated.
Porous media have a very complex geometry and are well represented by fractal.
This is actually used in petroleum science. Fractenna is the company which sells these anteennae. Surface physics Fractals are used to describe the roughness of surfaces. A rough surface is characterized by a combination of two different fractals. Medicine Biosensor interactions can be studied by using fractals.