FRACTAL BOUNDARY LAYER AND ITS BASIC PROPERTIES

Shuai-Jia Kou, Chun-Hui He (), Xing-Chen Men and Ji-Huan He
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Shuai-Jia Kou: School of Science, Xi’an University of Architecture and Technology, Xi’an 710055, P. R. China
Chun-Hui He: ��School of Civil Engineering, Xi’an University of Architecture & Technology, Xi’an 710055, P. R. China
Xing-Chen Men: ��School of Mechanical Engineering, Northwestern Polytechnical University, Xi’an 710072, P. R. China
Ji-Huan He: School of Science, Xi’an University of Architecture and Technology, Xi’an 710055, P. R. China

FRACTALS (fractals), 2022, vol. 30, issue 09, 1-9

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.

Keywords: Fractal Blasius Equation; Approximate Variational Principle; Non-smooth Boundary; Approximate Variational Method; Two-scale Theory (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S0218348X22501729

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