Optimal surface fractal dimension for heat and fluid flow in microchannels

2010 ◽  
Vol 97 (8) ◽  
pp. 084101 ◽  
Author(s):  
Yongping Chen ◽  
Chengbin Zhang ◽  
Mingheng Shi ◽  
George P. Peterson
Keyword(s):  
Fractal Dimension ◽  
Fluid Flow ◽  
Surface Fractal Dimension ◽  
Surface Fractal ◽  
Optimal Surface ◽  
Heat And Fluid Flow

A Microcontact Model Developed for Asperity Heights with a Variable Profile Fractal Dimension, A Surface Fractal Dimension, Topothesy, and Non-Gaussian Distribution

2009 ◽  
Vol 25 (1) ◽  
pp. 103-115
Author(s):  
J. L. Liou ◽  
J. F. Lin
Keyword(s):  
Fractal Dimension ◽  
Contact Area ◽  
Distribution Functions ◽  
Real Contact Area ◽  
Contact Deformation ◽  
Surface Fractal Dimension ◽  
Surface Fractal ◽  
Deformation Regime ◽  
The Mean ◽  
Non Gaussian

AbstractThe cross sections formed by the contact asperities of two rough surfaces at an interference are islandshaped, rather than having the commonly assumed circular contour. These island-shaped contact surface contours show fractal behavior with a profile fractal dimension Ds. The surface fractal dimension for the asperity heights is defined as D and the topothesy is defined as G. In the study of Mandelbrot, the relationship between D and Ds was given as D = Ds + 1 if these two fractal dimensions are obtained before contact deformation. In the present study, D, G, and Ds are considered to be varying with the mean separation (or the interference at the rough surface) between two contact surfaces. The D-Ds relationships for the contacts at the elastic, elastoplastic, and fully plastic deformations are derived and the inceptions of the elastoplastic deformation regime and the fully plastic deformation regime are redefined using the equality of two expressions established in two different ways for the number of contact spots (N). The contact parameters, including the total contact force and the real contact area, were evaluated when the size distribution functions (n) for the three deformation regimes were available. The results indicate that both the D and Ds parameters in these deformation regimes increased with increasing the mean separation (d*). The initial plasticity index before contact deformation (ψ)0 is also a factor of importance to the predictions of the contact load (F*t) and contact area (At*) between the model of variable D and G, non-Gaussian asperity heights and circular contact area and the present model of variable D and G, non-Gaussian asperity heights and fractal contact area.

Effect of Oxidation Treatment on Surface Fractal Dimension of Activated Carbon Fiber

2002 ◽  
Vol 31 (1) ◽  
pp. 76-77
Author(s):  
Zheng-Hong Huang ◽  
Feiyu Kang ◽  
Jun-Bing Yang ◽  
Kai-Ming Liang ◽  
Hui Zhao ◽  
...  
Keyword(s):  
Fractal Dimension ◽  
Activated Carbon ◽  
Carbon Fiber ◽  
Activated Carbon Fiber ◽  
Oxidation Treatment ◽  
Surface Fractal Dimension ◽  
Surface Fractal

Application of Fractal Theory on River Bed Form

2012 ◽  
Vol 212-213 ◽  
pp. 236-240 ◽  
Author(s):  
Yin Jun Zhou ◽  
Fei Li ◽  
Li Chen ◽  
Zhong Wu Jin ◽  
Jun Wang
Keyword(s):  
Fractal Dimension ◽  
Surface Area ◽  
Fractal Theory ◽  
Irregular Boundary ◽  
Surface Fractal Dimension ◽  
Surface Fractal ◽  
River Bed ◽  
Bed Form ◽  
Fractal Characteristics ◽  
River Pattern

Fractal theory is used to describe river bed form. Based on improvements in some aspects of Surface area – Scale Method, such as, estimation of surface area, boundary treatment and so on, the calculation method of surface fractal dimension with irregular boundary is obtained, and the new method has good application on the bed surface fractal dimension calculation. The fractal characteristics of river bed surface morphology are discussed by combination with river-pattern, river regime, river process and changes of BSD. BSD can be used to study some related problems, such as analysis of river regime, distinction of river pattern, calculation of river resistance and so on.

Surface fractal dimension of microporous carbon fibres by nitrogen adsorption

1991 ◽  
Vol 87 (1) ◽  
pp. 179 ◽  
Author(s):  
Katsumi Kaneko ◽  
Mutsumi Sato ◽  
Takaomi Suzuki ◽  
Yoko Fujiwara ◽  
Keiko Nishikawa ◽  
...  
Keyword(s):  
Fractal Dimension ◽  
Nitrogen Adsorption ◽  
Microporous Carbon ◽  
Carbon Fibres ◽  
Surface Fractal Dimension ◽  
Surface Fractal

Surface fractal dimension of composites TiO2-hydrotalcite

2016 ◽  
Vol 121 ◽  
pp. 17-22 ◽  
Author(s):  
J.C. Contreras-Ruiz ◽  
M.S. Martínez-Gallegos ◽  
E. Ordoñez-Regil
Keyword(s):  
Fractal Dimension ◽  
Surface Fractal Dimension ◽  
Surface Fractal
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