Analysis of fluid flow in fractal microfluidic channels

Fractal channels have significant applications in fields such as microfluidic chips and in vitro diagnostics. However, there is currently insufficient understanding and recognition of fluid flow within fractal channels. In this paper, the fluid flow within dendritic fractal structures was studied with finite element analysis (FEA), focusing on fluid velocity and mass fraction variations. The research introduces the ratio RA (the ratio of the longitudinal channel length to the lateral channel length) as a key parameter to evaluate fractal structures. A smaller RA corresponds to a flatter fractal configuration. By comparing flow rate, velocity, and mass distribution at the outlet of fractal channels with varying RA values, the results demonstrate that flatter fractal structures lead to more uniform flow distribution at the outlet. Meanwhile, the uniformity of fluid flow at the outlet of the fractal channels was analyzed. This work indicates that channel geometry significantly influences fluid dynamics, and also provides valuable insights into optimizing flow dynamics in small-scale applications, contributing to the design of more efficient fluidic devices.