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From transient fluidization processes to Herschel-Bulkley behavior in simple yield stress fluids

机译:从瞬态流化过程到Herschel-Bulkley行为   简单的屈服应力流体

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摘要

Stress-induced fluidization of a simple yield stress fluid, namely a carbopolmicrogel, is addressed through extensive rheological measurements coupled tosimultaneous temporally and spatially resolved velocimetry. These combinedmeasurements allow us to rule out any bulk fracture-like scenario during thefluidization process such as that suggested in [Caton {\it et al., Rheol Acta},2008, {\bf 47}, 601-607]. On the contrary, we observe that the transient regimefrom solidlike to liquidlike behaviour under a constant shear stress $\sigma$successively involves creep deformation, total wall slip, and shear bandingbefore a homogeneous steady state is reached. Interestingly, the total duration$\tau_f$ of this fluidization process scales as $\tau_f \propto 1/(\sigma -\sigma_c)^{\beta}$, where $\sigma_c$ stands for the yield stress of themicrogel, and $\beta$ is an exponent which only depends on the microgelproperties and not on the gap width or on the boundary conditions. Togetherwith recent experiments under imposed shear rate [Divoux {\it et al., Phys.Rev. Lett.}, 2010, {\bf 104}, 208301], this scaling law suggests a route torationalize the phenomenological Herschel-Bulkley (HB) power-law classicallyused to describe the steady-state rheology of simple yield stress fluids. Inparticular, we show that the {\it steady-state} HB exponent appears as theratio of the two fluidization exponents extracted separately from the {\ittransient} fluidization processes respectively under controlled shear rate andunder controlled shear stress.
机译:应力诱导的简单屈服应力流体(即碳微凝胶)的流化是通过广泛的流变学测量以及同时的时空分辨测速技术解决的。这些组合的测量方法使我们可以排除流化过程中的任何类似大块裂缝的情况,例如[Caton {\ it等人,Rheol Acta},2008,{\ bf 47},601-607]中建议的方案。相反,我们观察到,在恒定剪应力$ \ sigma $的作用下,从固态到液态的过渡态在达到均匀稳态之前成功地涉及了蠕变变形,总壁滑移和剪切带。有趣的是,该流化过程的总持续时间$ \ tau_f $缩放为$ \ tau_f \ propto 1 /(\ sigma-\ sigma_c)^ {\ beta} $,其中$ \ sigma_c $代表微凝胶的屈服应力,并且$ \ beta $是一个指数,仅取决于微凝胶特性,而不取决于间隙宽度或边界条件。加上最近在强剪速率下进行的实验[Divoux {\ it等,Phys.Rev。 Lett。},2010,{\ bf 104},208301],此缩放定律提出了一条路线,以合理化经典用于描述简单屈服应力流体的稳态流变学的现象学Herschel-Bulkley(HB)幂律。特别地,我们显示{\ it稳态} HB指数表现为分别在受控剪切速率和受控剪切应力下分别从{瞬变}流化过程中提取的两个流化指数的比值。

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