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搅拌槽中湍流条件下团聚体强度、结构及光散射特性对一次粒径的依赖性

Dependence of aggregate strength, structure, and light scattering properties on primary particle size under turbulent conditions in stirred tank.

作者信息

Ehrl Lyonel, Soos Miroslav, Morbidelli Massimo

机构信息

Institute for Chemical and Bioengineering, Department of Chemistry and Applied Biosciences, ETH Zurich, 8093 Zurich, Switzerland.

出版信息

Langmuir. 2008 Apr 1;24(7):3070-81. doi: 10.1021/la7032302. Epub 2008 Feb 27.

Abstract

The steady-state size and structure of aggregates produced under turbulent conditions in stirred tank, for primary particle diameter, d(p), equal to 420 nm and 120 nm, were studied experimentally for various values of the volume average shear rate, G, and solid volume fraction, phi, and compared with data for d(p) = 810 nm. To exclusively investigate the effect of dp, polystyrene latexes with same type and similar density of surface charge groups (sulfate) were used. The mass fractal dimension, d(f), obtained by image analysis, was found to be invariant of d(p) and G, with a value equal to 2.64 +/- 0.18. Small-angle static light scattering was used to characterize the cluster mass distributions by means of the root-mean-square radius of gyration, R(g), and the zero-angle intensity of scattered light, I(0), whose steady-state values proved to be fully reversible with respect to G. The absolute values of R(g) obtained for similar phi and G proved to be independent of d(p), and for all studied conditions, R(g) was proportional to G-1/2. At very low phi, a critical aggregate size for breakage was obtained and used to evaluate the aggregate cohesive force, as a characteristic for the aggregate strength. The aggregate cohesive force was found to be independent of aggregate size, with similar values for the investigated dp. Due to large d(p) and high d(f), the effect of multiple light scattering within the aggregates was found to be present, and by relating the scaling of R(g) with I(0) to d(f), the corresponding correction factors were evaluated. By combination of the independently measured aggregate size and structure, it is possible to experimentally determine the relation between the maximum stable aggregate mass and the hydrodynamic stresses independent of the multiple light scattering present for large d(p) and compact aggregates.

摘要

在搅拌釜中湍流条件下生成的聚集体,对于初级粒径d(p)等于420纳米和120纳米的情况,针对体积平均剪切速率G和固体体积分数phi的各种值进行了实验研究,并与d(p)=810纳米的数据进行了比较。为了专门研究dp的影响,使用了具有相同类型和相似表面电荷基团(硫酸盐)密度的聚苯乙烯胶乳。通过图像分析获得的质量分形维数d(f),被发现与d(p)和G无关,其值等于2.64±0.18。小角静态光散射用于通过回转半径的均方根R(g)和散射光的零角度强度I(0)来表征聚集体质量分布,其稳态值被证明相对于G是完全可逆的。对于相似的phi和G所获得的R(g)的绝对值被证明与d(p)无关,并且在所有研究条件下,R(g)与G^(-1/2)成正比。在非常低的phi下,获得了用于破碎的临界聚集体尺寸,并用于评估聚集体内聚力,作为聚集体强度的一个特征。发现聚集体内聚力与聚集体尺寸无关,对于所研究的dp具有相似的值。由于大的d(p)和高的d(f),发现聚集体内存在多重光散射效应,并且通过将R(g)与I(0)的标度关系与d(f)相关联,评估了相应的校正因子。通过结合独立测量的聚集体尺寸和结构,可以通过实验确定最大稳定聚集体质量与流体动力应力之间的关系,而与大d(p)和紧密聚集体中存在的多重光散射无关。

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