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FRACTAL BOUNDARY LAYER AND ITS BASIC PROPERTIES

delete2022-11-17
delete37
PRE
AI
S
SHUAI-JIA KOU
C
Chun‐Hui He
X
Xingchen Men
何吉欢 (Ji‐Huan He) *
DOI:10.1142/S0218348X22501729delete
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Abstract

Abstract

En 中文
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

Journal

F
Fractals-Complex Geometry Patterns and Scaling in Nature and Society
IF:
2.9
Papers:
2.8K
Citations:
5.6K

Organization

N
Northwestern Polytechnical University
Scholars:
4.6W
Papers: 3.7W
Citations: 5.3W