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arXiv 1408.0450cond-mat.soft
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强胶凝体离心压缩过程中壁面粘附效应的修正

Correction of Wall Adhesion Effects in the Centrifugal Compression of Strong Colloidal Gels

Richard Buscall, Daniel R. Lester

摘要:

有几种方法可用于测量强颗粒凝胶的抗压强度,包括离心法,其中强度作为体积分数的函数是从加速度时的平衡沉积物高度的依赖性参数获得的。Buscall & White(1987)的分析通常忽略了颗粒网络可能粘附在离心管壁上的可能性,尽管可以预期许多类型的粘性颗粒凝胶。忽略的粘附力是合理的,当剪切强度与压缩强度的比率是小的,它可以为许多系统远离凝胶点,但从来没有非常接近it.The忽视的粘附力所产生的误差进行了理论研究和量化合成平衡沉积物高度与加速度数据为各种程度的粘附力,然后分析它们在传统的方式。然后对无因次分析提出的近似修正系数进行了检验。为了使数据反演切实可行,还分析了某些常规近似所引入的误差。例如,它表明,通过将加速度矢量近似处理为一维而引入的误差对于典型的离心机尺寸是微小的,而使该假设使得数据反演易于处理。

英文摘要:

Several methods for measuring the compressive strength of strong particulate gels are available, including the centrifuge method, whereby the strength as a function of volume-fraction is obtained parametrically from the dependence of equilibrium sediment height upon acceleration. The analysis used conventionally due to Buscall & White (1987) ignores the possibility that the particulate network might adhere to the walls of the centrifuge tube, even though many types of cohesive particulate gel can be expected to. The neglect of adhesion is justifiable when the ratio of the shear to compressive strength is small, which it can be for many systems away from the gel-point, but never very near it. The errors arising from neglect of adhesion are investigated theoretically and quantified by synthesising equilibrium sediment height versus acceleration data for various degrees of adhesion and then analysing them in the conventional manner. Approximate correction factors suggested by dimensionless analysis are then tested. The errors introduced by certain other approximations made routinely in order to render the data-inversion practicable are analysed too. For example, it shown that the error introduced by treating the acceleration vector as approximately one-dimensional is minuscule for typical centrifuge dimensions, whereas making this assumption renders the data inversion tractable.

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