2016 International Symposium on Nanofluid Heat and Mass Transfer in Textile Engineering and 5th International Symposium on Nonlinear Dynamics


Journal: Nonlinear Science Letters A
(ISSN 2519-9072(Online), ISSN 2076-2275 (Print))          Vol. 2 No. 2
Uniform and Conserved Evolution Mode in Fractal Growth Kinematics
Yajun Yin*(1,2), Fan Yang(1), Bin He(2), Qinshan Fan(2)
(1) Department of Engineering Mechanics, School of Aerospace, AML, Tsinghua University, 100084, Beijing, China
(2) Division of Mechanics, Nanjing University of Technology, 211816, Nanjing, China
*Corresponding author. Email: yinyj@mail.tsinghua.edu.cn (Y. Yin)
Abstract: Inspired by the growth kinematics (or pattern kinematics) of fractal super snowflakes, we induce an interesting fractal growth mode —— uniform and conserved evolution mode (hereafter abbreviated as uniform and conserved mode). The following objectives are reached in this paper: (a) The representative examples of the uniform and conserved mode are displayed. (b) The connotation and denotation of the uniform and conserved mode are annotated, and the invariable properties of the uniform and conserved mode are revealed. (c) The characteristics of the uniform and conserved mode, both running counter to conventions and violating to intuitions, are analyzed. (d) The challenges of the uniform and conserved mode to continuum medium theories are predicted.

Keywords: fractals, growth kinematics, pattern kinematics, evolution, uniform and conserved mode

Biographical Notes:

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