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The flow of non-uniform suspensions.

机译：非均匀悬浮液的流动。

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Some macroscopic features of non-uniform disperse two-phase flows are investigated in both analytical and numerical ways.;Based on Cauchy's principle, a physical explanation of the mixture stress is presented in chapter 2. Not only the known results are recovered but also some new effects attributed to the inhomogeneity are shown to arise. One particular effect is the antisymmetric stress induced by the interphase force. The axial vector of the antisymmetric stress tensor for both zero- and finite Reynolds number is studied numerically.;In addition to the antisymmetric stress, the interphase force also contributes to the symmetric stress. In chapter 3, the symmetric mixture stress for slow viscous flow is investigated in detail. In the analysis for small concentrations, Batchelor's (1972) renormalization technique is extended to a non-uniform situation and applied to the calculation of the average stresslet. The transport coefficients in the closure relation are obtained analytically and numerically.;In chapter 4, this generalized renormalization method is used to analyze the particle momentum equation for spheres in Stokes flow. In addition to the shear-induced diffusion which is perpendicular to the flow, it is found that in general the particles move relative to the mixture in the flow direction. Some limited analysis on the particle rotation is also presented in chapter 4.;As a powerful tool for multiphase flow modelling, the ensemble averaging technique is briefly introduced and some relations are re-derived in chapter 5. In the last chapter, calculations of stress moments for a sphere in Stokes flow are presented.
机译：通过解析和数值两种方法研究了非均匀分散两相流的一些宏观特征。；基于柯西原理，在第二章中对混合应力进行了物理解释。不仅恢复了已知结果，而且还得到了一些结果。显示出不均匀性带来的新影响。一种特殊的效果是由相间力引起的反对称应力。数值研究了零雷诺数和有限雷诺数下的对称应力张量的轴向矢量。除了抗对称应力外，相间力也有助于对称应力。在第三章中，详细研究了缓慢粘性流动的对称混合应力。在小浓度分析中，Batchelor（1972）的重归一化技术扩展到了非均匀情况，并应用于平均应力小波的计算。通过分析和数值计算得出了封闭关系中的输运系数。在第四章​​中，采用了这种广义的重归一化方法来分析斯托克斯流中球的粒子动量方程。除了垂直于流动的切变引起的扩散外，还发现通常颗粒在流动方向上相对于混合物移动。在第4章中还对粒子旋转进行了一些有限的分析；作为一种强大的多相流建模工具，简要介绍了集成平均技术，并在第5章中重新推导了一些关系。在最后一章中，应力计算给出了斯托克斯流中一个球体的矩。

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