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Relevant bibliographies by topics / Washburn model

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Journal articles

Academic literature on the topic 'Washburn model'

Author: Grafiati

Published: 6 September 2023

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Journal articles on the topic "Washburn model"

1

Chang, Sooyoung, Jaedeok Seo, Seokbin Hong, Duck-Gyu Lee, and Wonjung Kim. "Dynamics of liquid imbibition through paper with intra-fibre pores." Journal of Fluid Mechanics 845 (April 20, 2018): 36–50. http://dx.doi.org/10.1017/jfm.2018.235.

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We present a combined experimental and theoretical investigation of the dynamics of liquid imbibition through paper. The Washburn equation is widely used to describe the dynamics of capillary flow through paper, but this classical model has limited accuracy, which often makes it difficult to use in developing analytic systems such as paper-based microfluidic devices. We here report that the internal cavity of the cellulose fibres composing paper is significantly responsible for the limited accuracy of the Washburn equation. Our experiments demonstrated that liquid can be absorbed in the intern

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2

Villagrán Zaccardi, Yury, Natalia Alderete, and Nele De Belie. "Lucas-Washburn vs Richards equation for the modelling of water absorption in cementitious materials." MATEC Web of Conferences 199 (2018): 02019. http://dx.doi.org/10.1051/matecconf/201819902019.

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The Lucas-Washburn equation is still being applied by a significant number of researchers for the modelling of water absorption in cementitious materials. A modern approach considers the extended Darcy’s law leading to the Richards equation instead. Three main assumptions are implied by the application of the Lucas-Washburn equation: the flow occurs in one direction only, the material is separated into one fully wet and one fully dry region, and pores are modelled as an assembly of parallel tubes of a particular radius. Its application to analyse experimental results allows defining these thre

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3

Wang, Pan, Qingen Zhang, Muhan Wang, Bing Yin, Dongshuai Hou, and Yue Zhang. "Atomistic insights into cesium chloride solution transport through the ultra-confined calcium–silicate–hydrate channel." Physical Chemistry Chemical Physics 21, no. 22 (2019): 11892–902. http://dx.doi.org/10.1039/c8cp07676f.

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4

Cao, Bing-Yang, Min Yang, and Guo-Jie Hu. "Capillary filling dynamics of polymer melts in nanopores: experiments and rheological modelling." RSC Advances 6, no. 9 (2016): 7553–59. http://dx.doi.org/10.1039/c5ra24991k.

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The spontaneous capillarity-driven flow behaviors of PE melts through AAO nanopores suggest that the zero-shear-rate viscosity of the PE melts decreases, which can be predicted by a modified Lucas–Washburn law considering the polymer rheological model.

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5

Zhang, Xiao Dan, Jun Hao Qian, and Jun Wei Jia. "Ink Penetration Model Research Based on Ink Permeability." Applied Mechanics and Materials 731 (January 2015): 462–65. http://dx.doi.org/10.4028/www.scientific.net/amm.731.462.

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This article analyzes the mechanism of interaction between the ink and paper. The Washburn equation just based on static penetration, while in contact with the ink and paper, freedom infiltration process is a dynamic process. So it is further derived based on a model of the dynamic ink permeability of dynamic contact angle, and mathematical analyzes some of the important parameters of the dynamic model so that can strive a more accurate description of the state of penetration of ink into the paper, thereby theoretically predict the quality control of printed matter.

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6

Gorthi, Srinivas R., Sanjaya Kumar Meher, Gautam Biswas, and Pranab Kumar Mondal. "Capillary imbibition of non-Newtonian fluids in a microfluidic channel: analysis and experiments." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 476, no. 2242 (2020): 20200496. http://dx.doi.org/10.1098/rspa.2020.0496.

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We have presented an experimental analysis on the investigations of capillary filling dynamics of inelastic non-Newtonian fluids in the regime of surface tension dominated flows. We use the Ostwald–de Waele power-law model to describe the rheology of the non-Newtonian fluids. Our analysis primarily focuses on the experimental observations and revisits the theoretical understanding of the capillary dynamics from the perspective of filling kinematics at the interfacial scale. Notably, theoretical predictions of the filling length into the capillary largely endorse our experimental results. We st

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7

Qu, Zhen Cai, Guang Xue Chen, Bao Lin Tang, and Shuang Shuang Wen. "Study on Model of Dot Gain in Ink-Jet Printing." Advanced Materials Research 236-238 (May 2011): 1405–9. http://dx.doi.org/10.4028/www.scientific.net/amr.236-238.1405.

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Ink-jet printing is a non-contact printing, drops are jetted on the substrates to form images through the nozzles at a certain speed. Dot is the smallest unit in printing; the qualities of printing are seriously affected by dot gain. Ink spreading and penetration are discussed in this paper, influences on dot gain in ink-jet printing are studied, the original Young's equation and Washburn formula are theoretically amended, more scientific and rational models and formulas are obtained in the actual process of ink-jet printing, which offers reference standard and theoretical basis to improve the

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8

Peterson, Rorik A. "Assessing the role of differential frost heave in the origin of non-sorted circles." Quaternary Research 75, no. 2 (2011): 325–33. http://dx.doi.org/10.1016/j.yqres.2010.08.003.

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AbstractA. L. Washburn famously proposed and reviewed 19 hypotheses for the origin of patterned ground in periglacial environments over 50 years ago (Washburn, 1956). Of these 19 mechanisms, only a few have been analyzed starting from a fundamental description of the physics to assess their potential contribution to the initiation of patterned ground. Here, differential frost heave (DFH) is investigated as the origin of non-sorted circles in periglacial landscapes. Model results indicating that DFH can spontaneously lead to patterned ground are compared to measurements of patterned ground in t

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9

Samayoa, Didier, Liliana Álvarez Romero, Lilian Aurora Ochoa Ontiveros, Lucero Priscila Damian Adame, Ehcatl Victoria-Tobon, and Gabriel Romero Paredes. "Fractal imbibition in Koch's curve-like capillar tubes." Revista Mexicana de Física 64, no. 3 (2018): 291. http://dx.doi.org/10.31349/revmexfis.64.291.

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Fractal geometry eects in capillary imbibition process are studied.Capillary rise analysis in Koch's curve-like tubes were be carried out withiterations i = 0; 1; 2; 3; 4; 5. The behaviour was characterized in function oftime, fractal geometry and height of capillary rise. An geometrical relationshipfor fractal dimension of ow tortuosity (dr) in porous media is obtained.The analytical model of Lucas-Washburn-Cai to describe the capillary rise byspontaneus imbibition in tubes with deterministic fractal geometry is adjusted.The equilibrium height time as function of fractal dimension of ow tortu

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10

Cai, Shaobin, Li Zhang, Lixin Kang, et al. "Spontaneous Imbibition in a Fractal Network Model with Different Wettabilities." Water 13, no. 17 (2021): 2370. http://dx.doi.org/10.3390/w13172370.

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In this work, we derived a mathematical model for spontaneous imbibition in a Y-shaped branching network model. The classic Lucas–Washburn equation was used for modeling the imbibition process occurring in the Y-shape model. Then, a mathematical model for the Newtonian fluid’s imbibition was derived to reveal the relationship between dimensionless imbibition time and length ratio, radius ratio, and wetting strength. The dimensionless imbibition time in the model was adopted to compare with that of the capillary bundle model. Different length and radius ratios were considered in the adjacent tw

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