Release oscillation in a hollow fiber – Part 1: Mathematical model and fast estimation of its frequency

Abstract

This paper studies a micro/nano scale capillary flow in a hollow fiber and its oscillation. The hollow fiber is immersed into a liquid (e.g. water), and the isolated air in the fiber plays as a spring-like oscillation. An oscillation model is established for the fluid vibration in the capillary tube, a simple estimation of its frequency is suggested for practical applications, and the silver ion release from hollow fibers is discussed.

New promises and future challenges of fractal calculus: From two-scale thermodynamics to fractal variational principle

“…In literature, eq. 29was called as He's fractional derivative [31][32][33][34][35][36][37][38][39][40][41][42], and it has been applied to biomechanics [38], nanoscale thermodynamics [39], Zakharov-Kuznetsov equation [31], KP-BBM equation [32], solitary theory [33], non-linear vibration [34], coast protection [35,36], high-order sub-diffusion broblem [37], fractional optimal control problems [38], drug release [39][40][41], and biomaterials [42].…”

Effect of fiber materials on the thermal and moisture comfort properties of socks

“…The wicking height is intuitively reflected by the quality of the fabric's moisture absorption and conductivity. It can be seen from Table 3 that it is the highest wicking height of sample 1# since fibrilia has natural moisture absorption and conductivity, and the ultra-fine micro pores inside the ramie fibers are conducive to the formation of capillary effects to accelerate the diffusion of moisture [7][8][9][10][11][12][13] . While the wicking height of compact sample 6# without voids of the fabric and capillary effect is the lowest.…”

Fractal Pull-in Stability Theory for Microelectromechanical Systems

“…Fractal theory is an excellent tool for dealing with various mathematical problems and some physical phenomena in porous media [7][8][9]. Because of the diversity application of fractal, it is widely used in various fields [10][11][12][13][14][15][16][17][18][19][20][21][22].…”