Multifractal Structure of Non-Newtonian Viscous Fingers
A real-space renormalization-group method has been developed to study the fractal and multifractal structures in diffusion limited aggregation [1–4]. In this article, we investigate the multifractal structure of the growth probability distribution in the viscous fingering of a non-Newtonian displaced fluid. The dependences of the α-f spectra of the growth probability distribution are shown on the parameter k describing the different non-Newtonian fluids.
KeywordsStable Fixed Point Growth Probability Diffusion Limited Aggregation Nonlinear Resistor Fluid Flow Problem