TY - JOUR
TI - A fractal approach to the diffusion process of red ink in a saline water
AU - He Ji-Huan
AU - Qian Man-Yu
JN - Thermal Science
PY - 2022
VL - 26
IS - 3
SP - 2447
EP - 2451
PT - Article
AB - The diffusion of the red ink in saline water is completely stochastic and  highly unpredictable, and no differential model can precisely describe the  process. This paper elucidates that the diffusion takes place in a molecule  scale, therefore, the continuum assumption in fluid mechanics becomes  totally invalid, and the two-scale fractal calculus has to be adopted to  take into account the effects of the particles' size in the red ink and the  properties of the saline solution including its concentration, water  molecule's size and distribution on the diffusion process. On the molecule's  scale, the diffusion becomes completely deterministic and predictable. An  experiment is carefully designed and some phenomena, including optical  observation and highly selective diffusion routine, are theoretically  explained. This paper sheds light on modeling various contamination  diffusion in air and water.