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.
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