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- Title
FRACTAL BOUNDARY LAYER AND ITS BASIC PROPERTIES.
- Authors
KOU, SHUAI-JIA; HE, CHUN-HUI; MEN, XING-CHEN; HE, JI-HUAN
- Abstract
In this paper, the fractal calculus is introduced to study a non-smooth boundary layer of a viscous fluid, and a fractal-fractional modification of the Blasius equation is suggested and solved analytically. The results show that the non-smooth boundary might lead to smaller friction, this can explain well the lotus effect, the waving sand dune and Fangzhu's water collection. The fractal boundary layer theory has opened the path for a new way to optimal design of a high moving surface with the minimal friction.
- Subjects
BOUNDARY layer (Aerodynamics); BOUNDARY layer equations; SAND waves; MINIMAL surfaces; SAND dunes; FRICTION; VARIATIONAL principles
- Publication
Fractals, 2022, Vol 30, Issue 9, p1
- ISSN
0218-348X
- Publication type
Article
- DOI
10.1142/S0218348X22501729