FRACTAL BOUNDARY LAYER AND ITS BASIC PROPERTIES-Reference-Cited by-同舟云学术

FRACTAL BOUNDARY LAYER AND ITS BASIC PROPERTIES

Published:2022-11-17 Issue:09 Volume:30 Page:
ISSN:0218-348X
Container-title:Fractals
language:en
Short-container-title:Fractals

Author:

KOU SHUAI-JIA¹^ORCID,HE CHUN-HUI²,MEN XING-CHEN³,HE JI-HUAN¹

Affiliation:

1. School of Science, Xi’an University of Architecture and Technology, Xi’an 710055, P. R. China

2. School of Civil Engineering, Xi’an University of Architecture & Technology, Xi’an 710055, P. R. China

3. School of Mechanical Engineering, Northwestern Polytechnical University, Xi’an 710072, P. R. China

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.

Publisher

World Scientific Pub Co Pte Ltd

Subject

Applied Mathematics,Geometry and Topology,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218348X22501729

Reference51 articles.

1. On the mountain-river-desert relation

2. The Lotus Effect: Superhydrophobicity and Metastability

3. Extracellular matrix and the mechanics of large artery development

4. Solitary waves travelling along an unsmooth boundary

5. FRACTAL SOLITARY WAVE SOLUTIONS FOR FRACTAL NONLINEAR DISPERSIVE BOUSSINESQ-LIKE MODELS

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