The Einstein coefficient of suspensions in generalized Newtonian liquids

The Einstein coefficient of suspensions in generalized Newtonian liquids
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广义牛顿液体中的爱因斯坦悬浮系数

DOI:
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发表时间:
1991
期刊:
影响因子:
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通讯作者:
H. N. Stein
H. N. Stein
中科院分区:
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文献类型:
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作者:
J. Laven;H. N. Stein

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给出了广义牛顿介质中悬浮液相对粘度的一个新的、理论上更令人满意的定义,根据悬浮液和纯液体的粘度,应将其与液体中的平均平方应变速率γ2L进行比较。将这个量(ηLR)与目前使用的两个定义进行比较,在这两个定义中,粘度是在相同的宏观应力τ或相同的宏观平方应变速率γ2M下比较的。在广义牛顿液体中任意形状颗粒的稀悬浮液的情况下,导出了三种不同相对粘度之间的相互关系。极限粘度数值(爱因斯坦系数Ke)是从作者获得的悬浮液粘度实验数据和从其他来源获得的数据得出的。这些数据涵盖了球形颗粒在液体中的悬浮,其幂指数n在0.07到1.0之间。根据新的定义……
A new, theoretically more satisfactory, definition for relative viscosities of suspensions in generalized Newtonian media is presented, which according to the viscosities of suspensions and pure liquids should be compared to equal averaged squared strain rates γ2L in the liquid phases. Comparison of this quantity (ηLr) is made with two definitions currently in use, in which viscosities are compared either at equal macroscopic stresses τ or at equal macroscopic squared strain rates γ2m. Interrelations between the three different relative viscosities have been derived in the case of dilute suspensions of particles of arbitrary shape in generalized Newtonian liquids. Values for limiting viscosity number (Einstein coefficients KE) have been derived from experimental data on suspension viscosities both as obtained by the authors and as obtained from other sources. The data cover suspensions of spherical particles in liquids with power‐law exponents n between 0.07 and 1.0. According to the new definition the ...