Low frequency of a deforming capillary vibration, part 1: Mathematical model

被引:42
作者
Jin, Xiao [1 ,2 ]
Liu, Meina [1 ,2 ]
Pan, Feng [1 ,2 ]
Li, Yaping [3 ]
Fan, Jie [3 ,4 ]
机构
[1] Yantai Nanshan Univ, Coll Engn, Inst Text, Longkou, Peoples R China
[2] Yantai Nanshan Univ, Res & Dev Ctr Wool Worsted Technol, Longkou, Peoples R China
[3] Tianjin Polytech Univ, Sch Text Sci & Engn, Tianjin, Peoples R China
[4] Tianjin Polytech Univ, Key Lab Adv Text Composites, Minist Educ China, Tianjin, Peoples R China
关键词
Capillary effect; geometric potential; nonlinear oscillator; wetting; HOMOTOPY PERTURBATION METHOD; NANOFIBER MEMBRANE; AIR PERMEABILITY;
D O I
10.1177/1461348419856227
中图分类号
O42 [声学];
学科分类号
070206 ; 082403 ;
摘要
The capillary effect has wide applications from biology and textile engineering to nanotechnology especially the micro-electromechanical systems and microfluidics device. The capillary vibration significantly affects its mass transmission. This paper establishes a nonlinear oscillator of a deforming capillary tube. The geometric potential theory is used to estimate the capillary force. The paper reveals that the low-frequency property of capillary vibration plays an important role not only in life but also engineering applications.
引用
收藏
页码:1676 / 1680
页数:5
相关论文
共 20 条
[1]   Laplace transform: Making the variational iteration method easier [J].
Anjum, Naveed ;
He, Ji-Huan .
APPLIED MATHEMATICS LETTERS, 2019, 92 :134-138
[2]   Liquid transport in non-uniform capillary fibrous media [J].
Fan, Jie ;
Li, Cai-Xia ;
Qi, Yuan-Yuan ;
Wang, Li-Li ;
Shou, Wan ;
Liu, Yong .
TEXTILE RESEARCH JOURNAL, 2019, 89 (09) :1684-1698
[3]   Homotopy perturbation method with two expanding parameters [J].
He, J. H. .
INDIAN JOURNAL OF PHYSICS, 2014, 88 (02) :193-196
[4]   Some asymptotic methods for strongly nonlinear equations [J].
He, Ji-Huan .
INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2006, 20 (10) :1141-1199
[5]   Fractal calculus and its geometrical explanation [J].
He, Ji-Huan .
RESULTS IN PHYSICS, 2018, 10 :272-276
[6]   REVIEW ON FIBER MORPHOLOGY OBTAINED BY BUBBLE ELECTROSPINNING AND BLOWN BUBBLE SPINNING [J].
He, Ji-Huan ;
Kong, Hai-Yan ;
Yang, Rui-Rui ;
Dou, Hao ;
Faraz, Naeem ;
Wang, Liang ;
Feng, Chao .
THERMAL SCIENCE, 2012, 16 (05) :1263-1279
[7]   Homotopy Perturbation Method with an Auxiliary Term [J].
He, Ji-Huan .
ABSTRACT AND APPLIED ANALYSIS, 2012,
[8]   Nanoscale adhesion and attachment oscillation under the geometric potential. Part 1: The formation mechanism of nanofiber membrane in the electrospinning [J].
Li, Xiao-Xia ;
He, Ji-Huan .
RESULTS IN PHYSICS, 2019, 12 :1405-1410
[9]   Experimental verification of the fractional model for silver ion release from hollow fibers [J].
Lin, Ling ;
Li, Huigai ;
Yao, Shao-Wen .
JOURNAL OF LOW FREQUENCY NOISE VIBRATION AND ACTIVE CONTROL, 2019, 38 (3-4) :1041-1044
[10]   Release oscillation in a hollow fiber - Part 1: Mathematical model and fast estimation of its frequency [J].
Lin, Ling ;
Yao, Shao-Wen .
JOURNAL OF LOW FREQUENCY NOISE VIBRATION AND ACTIVE CONTROL, 2019, 38 (3-4) :1703-1707