Acrylic paint fractals

Observation of fractal fingers by Okinawa Institute of Science and Technology Graduate University.

https://www.youtube.com/watch?v=DguNgm9tDFU

Fast Fractal Fingering in Fructose Fluids

Exploring fast fractal fingering phenomena involving a dye spreading on a surface of a Xanthan gum water solution and study of the role of the gum concentration.

https://youtu.be/zf1gR-tNzUs

Fingering versus stability in the limit of zero interfacial tension

The invasion of one fluid into another of higher viscosity in a quasi-two dimensional geometry typically produces complex fingering patterns. A rich variety of patterns were characterized by the viscosity ratio between the inner and the outer fluid.

https://www.nature.com/articles/ncomms6265

Fractal growth viscous fingers: quantitative characterization of a fluid instability phenomenon

Water was used to push a more viscous but miscible, non-newtonian fluid in a Hele-Shaw cell. The resulting viscous finger instability was found to be a fractal growth phenomenon. Reproducible values of the fractal dimension were found and were interpreted using a modification of the diffusion limited aggregation model.

https://www.nature.com/articles/314141a0

Simulation of Dendritic Painting

Detailed simulation of the painting technique with Reaction-Diffusion model.

https://onlinelibrary.wiley.com/doi/10.1111/cgf.13955

Viscous flows in two dimensions

Detailed review which describes the phenomenom numerically and analytically.

https://journals.aps.org/rmp/abstract/10.1103/RevModPhys.58.977