The capillary spontaneous imbibition length of slick water in confined rectangular cross-sectional nanofractures is investigated in this paper. In the established model, the effective slip length, effective viscosity, wettability and nanofracture size are incorporated into the modified Hagen–Poiseuille equation. The calculated spontaneous imbibition length as a function of time, viscosity, wettability and pore size is qualitatively validated by experimental and previous theoretical Hagen–Poiseuille flow results. Our model calculation results agree well with the published experimental data. The ratio of the effective and bulk water viscosities is higher than one, and increases with an increase in the ratio of the nanofracture width to height and decreasing contact angle. The spontaneous imbibition capacity of confined water is enhanced ∼0.67–1.28 times, as determined by the Hagen–Poiseuille equation without the slip effect for various contact angles and nanofracture dimensions.

中文翻译：

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局限性纳米裂缝的解析自发吸收模型

研究了封闭矩形横截面纳米裂缝中滑水的毛细自发吸收长度。在已建立的模型中，有效的滑移长度，有效的粘度，润湿性和纳米断裂尺寸被纳入修正的Hagen – Poiseuille方程中。所计算出的自吸长度随着时间，粘度，润湿性和孔尺寸的一个函数被定性实验和前面的理论验证哈根-Poiseuille流动结果。我们的模型计算结果与已发布的实验数据非常吻合。有效和本体水粘度的比率高于1，并且随着纳米断裂宽度与高度的比率的增加和接触角的减小而增加。由Hagen-Poiseuille方程确定的无接触角和纳米断裂尺寸的滑动效应，承压水的自发吸收能力提高了约0.67至1.28倍。