Temperature-dependent capillary rise and its effects on fabric cleaning and permeability

Li, Xiaoxia; Zhao, Ling; He, Ji‐Huan; Zhou, Chan-Juan; Wu, Shao-Yi; Yu, Li; Wang, Shuqiang

doi:10.2298/tsci2303915l

Therm sci

2023

DOI: 10.2298/tsci2303915l

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Temperature-dependent capillary rise and its effects on fabric cleaning and permeability

Xiaoxia Li

Ling Zhao²,

Ji‐Huan He

et al.

Abstract: A fabric can be considered as a porous medium, its porosity size and temperature will greatly affect air/moisture permeability and thermal comfort. This paper studies the effect of temperature on the capillary rise experimentally, the experimental data reveal that a higher temperature results in a higher capillary rise, as a result, a better air/moisture permeability is predicted. This paper elucidates also a higher temperature is favorable for effective washing.

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Cited by 4 publications

References 41 publications

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Fractal Pull-in Motion of Electrostatic Mems Resonators by the Variational Iteration Method

FENG,

ZHANG,

TANG

2023

Fractals

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The dynamic pull-in instability of a microstructure is a vast research field and its analysis is of great significance for ensuring the effective operation and reliability of micro-electromechanical systems (MEMS). A fractal modification for the traditional MEMS system is suggested to be closer to the real state as a practical application in the air with impurities or humidity. In this paper, we establish a fractal model for a class of electrostatically driven microstructure resonant sensors and find the phenomenon of pull-in instability caused by DC bias voltage and AC excitation voltage. The variational iteration method has been extended to obtain approximate analytical solutions and the pull-in threshold value for the fractal MEMS system. The result obtained from this method shows good agreement with the numerical solution. The simple and efficient operability is demonstrated through theoretical analysis and results comparisons.

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Fractal Pull-in Motion of Electrostatic Mems Resonators by the Variational Iteration Method

FENG,

ZHANG,

TANG

2023

Fractals

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On Murray Law for Optimal Branching Ratio

ZUO

2024

Fractals

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Tree-like branching networks are widespread in nature and have found wide applications in engineering, where Murray’s law is generally adopted to optimally design tree-like systems, but it may become invalid in some cases. Here we give an energy approach to the analysis of the law and re-find Li–Yu’s law for the optimal ratio of the square root of 2 with a suitable constraint. When the cross-section of each branch is considered as a fractal pattern, a modified Murray’s law is obtained, which includes the original Murray’s law for a Peano-like pore and Li–Yu’s law for cylindrical branches, furthermore a useful relationship between the diameter and length of each hierarchy is obtained, which is contrary to the tree-like fractal patterns, and the new hierarchy is named as “fractal Murray tree”, which also has many potential applications in science, engineering, social science and economics. This paper is intended to serve as a foundation for further research into the fractal Murray tree and its applications in various fields.

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A universal application of the general integral transform: New technique for the analysis of nonlinear oscillator systems

Niu

2024

Journal of Low Frequency Noise, Vibration and Active Control

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The wide applicability of a nonlinear oscillator is the main reason why it has gained so much attention from mathematicians and scientists, while it is difficult to be solved both numerically and theoretically. Variational iteration method is one of the numerical approaches which are used to investigate these nonlinear systems. In this paper, we present a nonlinear oscillator arising in a micro-electromechanical system as an example and derive its analytical solution by He’s frequency formula method and variational iteration method coupled with a new general integral transformation. The Lagrange multiplier is formulated and the new iterative format for the correction functional of the variational iteration method is given by the general integral transformation. The approximate nonlinear frequencies are achieved by this new technique and compared with the numerical ones obtained by the Runge–Kutta method. The new general integral transformation has the same essential qualities as those for Laplace and Fourier transform, and it becomes a promising tool to nonlinear problems when coupled with the variational iteration method.

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Temperature-dependent capillary rise and its effects on fabric cleaning and permeability

Cited by 4 publications

References 41 publications

Fractal Pull-in Motion of Electrostatic Mems Resonators by the Variational Iteration Method

Fractal Pull-in Motion of Electrostatic Mems Resonators by the Variational Iteration Method

On Murray Law for Optimal Branching Ratio

A universal application of the general integral transform: New technique for the analysis of nonlinear oscillator systems

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