This monograph, which consists of 12 chapters and 2 appendices, contains valuable information on matters dealing with the theory and practice of numerical multiphase fluid dynamics involving arbitrary geometrical configurations. Using local spatial averaging results, the mass, momentum and energy conservation equations are rigorously derived in chapters 1, 2 and 5 for heterogeneous porous structures. Chapter 3 deals with thermodynamic properties of different mixtures, whilst chapter 4 provides an introduction to energy conservation principle for single-phase multi-component flows. Chapter 6 contains some simple cases illustrating the use of mass and energy conservation for describing the thermodynamic state of multi-component single-phase systems. The energy for multiphase multi-component system is introduced in chapter 7. Simplification of the resulting system of partial differential equations in the case of one-dimensional flow is presented in chapter 8. Another case of simplification of the theory of multiphase flows is presented in chapter 9, where the theory of continuum sound waves and discontinuous shock waves for melt-water interaction is presented. Chapter 10 is devoted to the derivation of conservation equations for multiphase multi-component multi-velocity field flows in general curvilinear coordinate systems. Chapter 11 describes numerical solution methods for different multi-phase flow problems; some high-order discretization schemes for convection-diffusion terms are presented. Chapter 12 describes a numerical solution method for multiphase flow problem; appendices 1 and 2 include a brief introduction to vector analysis and coordinate transformation theory.
This monograph is useful not only to graduate students, but should be of help to applied scientists and practicing engineers associated with industrial processes involving multiphase flows.