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arXiv 2409.09374physics.flu-dyn
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剪切稀化液体的巨型超疏水滑移

Giant superhydrophobic slip of shear-thinning liquids

Ory Schnitzer, Prasun K. Ray

AI总结:

该研究针对超疏水表面上的 Carreau 剪切稀化液体,通过渐近分析与数值模拟揭示强剪切稀化可使有效滑移长度由对数标度增强为代数标度。

摘要:

我们从理论上阐明,在小固相分数($ε\ll1$)和强剪切稀化($β\ll1$,其中$β$为无限剪切速率下黏度与零剪切速率下黏度之比)的双重极限下,流经超疏水表面的复杂流体如何表现出巨型流动增强。考虑在带沟槽超疏水表面上纵向剪切驱动流动这一经典情景中的 Carreau 液体,我们表明,随着$β$减小,小固相分数下有效滑移长度的标度从 Newtonian 流体的对数标度$\ln(1/ε)$增强为代数标度$1/ε^{\frac{1-n}{n}}$,该标度在$β=\mathcal{O}(ε^{\frac{1-n}{n}})$时达到,其中$n\in(0,1)$是 Carreau 模型中的指数。我们通过渐近论证和数值模拟阐明了这种标度增强及其背后的几何–流变学机制。

英文摘要:

We theoretically illustrate how complex fluids flowing over superhydrophobic surfaces may exhibit giant flow enhancements in the double limit of small solid fractions ($ε\ll1$) and strong shear thinning ($β\ll1$, $β$ being the ratio of the viscosity at infinite shear rate to that at zero shear rate). Considering a Carreau liquid within the canonical scenario of longitudinal shear-driven flow over a grooved superhydrophobic surface, we show that, as $β$ is decreased, the scaling of the effective slip length at small solid fractions is enhanced from the logarithmic scaling $\ln(1/ε)$ for Newtonian fluids to the algebraic scaling $1/ε^{\frac{1-n}{n}}$, attained for $β=\mathcal{O}(ε^{\frac{1-n}{n}})$, $n\in(0,1)$ being the exponent in the Carreau model. We illuminate this scaling enhancement and the geometric-rheological mechanism underlying it through asymptotic arguments and numerical simulations.

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