Flow of particles in suspensions (Q676085)

[The articles of this volume will not be indexed individually.] This book is a collection of six lectures delivered at the International Centre for Mechanical Sciences at Udine. These are devoted to the flow of solid particles, liquid droplets or gaseous bubbles suspended in a continuous liquid phase, and hence known as multi-phase problems important for many applications, e.g. cellulose fibres suspended in water, glass fibres in liquid polymers, deformable capsules, etc. The first lecture deals with the structure and transport properties of colloidal suspensions in stationary shear flows. It is well known that even a moderate shear flow strongly distorts the microstructure of the colloidal suspension. The work reviews experimental and theoretical results on colloidal suspensions in stationary shear flow and discusses the shear rate-dependent stress, mobility and diffusion tensors, and the distortion of the stratified structure factor. Additionally, the lecture contains a good collection of references on the subject. The second lecture describes the microscopic modelling of multi-phase mixtures, including such materials as tooth paste, mud, paint etc. which are neither completely solids nor ordinary fluids. They are termed as soft solids or odd liquids, and it is well known that these are made usually of several chemical species. In this lecture, the microscopic modelling is presented by considering the mixture as a continuous medium, usually with the implication of the second law of thermodynamics. The suspensions of capsules in a flowing fluid are the topic of the third lecture. First, experimental results are discussed, and then the equation of motion of a single capsule is presented. The reader is made familiar here with perturbation solutions for different shapes of the capsules and with numerical models devised for large deformations. The fourth lecture examines an interesting effect of surfactant molecules dissolved in the liquid phase of a multi-phase system on the flow of suspensions, bubbles and drops. The fifth lecture focusses attention on the laminar transport of non-colloidal, non-buoyant particles suspended in a Newtonian fluid. A historical survey of the development of this topic is presented. Then a linear stability analysis of shear-induced resuspension flows in a two-dimensional Hagen-Poiseuille channel is discussed. Finally, the last lecture is devoted to recent developments in the analysis of gravity and centrifugal separation of non-colloidal suspensions and to some open challenging problems in the classic mechanics of fluids. Here the intention is to stimulate the theoretical and applied investigations in this area. To summarize, the reviewer believes that the book contains all essential materials on the title topic and should be recommended to those who want to start research in this interesting and rich in applications area.