A NOVEL FRACTAL SOLUTION FOR LAMINAR FLOW RESISTANCE IN ROUGHENED CYLINDRICAL MICROCHANNELS

被引：30
作者：
Xiao, Boqi [1 ,2 ]
Liu, Yonghui [1 ]
Chen, Hanxin [1 ]
Chen, Xubing [1 ]
Long, Gongbo [1 ]
机构：
[1] Wuhan Inst Technol, Sch Mech & Elect Engn, Wuhan 430205, Peoples R China
[2] Sanming Univ, Sch Mech & Elect Engn, Sanming 365004, Peoples R China
来源：
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY | 2020年 / 28卷 / 06期
基金：
中国国家自然科学基金;
关键词：
Fractal; Roughness; Flow Resistance; Cylindrical Microchannel; KOZENY-CARMAN CONSTANT; GAS-DIFFUSION LAYER; HEAT-TRANSFER; POROUS-MEDIA; SURFACE-ROUGHNESS; ANALYTICAL-MODEL; PERFORATION-EROSION; PRESSURE-DROP; FLUID-FLOW; PERMEABILITY;
D O I：
10.1142/S0218348X20500978
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this work, a novel fractal model for the laminar flow in roughened cylindrical microchannels is proposed. The average height of rough elements is derived using the fractal theory. The effects of relative roughness on the friction factor and the Poiseuille number are discussed. It is found that the Darcy friction factor and the Poiseuille number increase with the increase in the relative roughness in the cylindrical microchannel. Besides, it is observed that the Darcy friction factor decreases with the increase in the Reynolds number. Each parameter of the proposed model has a clear physical meaning. The present model can properly reveal some mechanisms that affect the laminar flow in roughened cylindrical microchannels. The present model improves the understanding of the physical mechanisms of fluid flows through roughened cylindrical microchannels. Our model predictions are compared with the existing experimental data, and good agreement can be found.
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页数：10
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