Theory of Multicomponent Fluids Preliminaries Physical Reality Corpuscular Models Continuum Models Classical Continuum Theory Viscous and Inviscid Fluids and Elastic Solids Kinetic Theory Classical Theory of Solutions Continuum Theory Continuum Balance Equations for Multicomponent Fluids Mixture Equations Averaging Theory Ensemble Averaging Other Averages Averaged Equations Postulational and Averaging Approaches Modeling Multicomponent flows Closure Framework Relation of Microstructure to Constitutive Equations Maxwell Boltzmann Dynamics Interfacial Area Equations of Motion for Dilute Flow Consequences Nature of the Equations Well Posedness Solutions for Shearing Flows Wave Dynamics. In this book we give a rational treatment of multicomponent materials as intera ingcontinua.Weoffertwoderivationsoftheequationsofmotionfortheinteracting continua; one which uses the concepts of continua for the components and one which applies an averaging operation to the continuum equations for each c ponent. Arguments are given for constitutive equations appropriate for dispersed multicomponent ow. The forms of the constitutive equations are derived from the principles of continuum mechanics applied to the components and their int actions. The solutions of problems of hydromechanics of ordinary continua are used as motivation for the forms of certain constitutive equations in multicom nent materials. The balance of the book is devoted to the study of problems of hydrodynamics of multicomponent ows. Many materials are homogeneous in the sense that each part of the material has the same response to a given set of stimuli as all of the other parts. An example of such a material is pure water. Formulation of equations describing the behavior of homogeneous materials is well understood and is described in numerous standard textbooks. Many other materials both manufactured and occurring in nature are not mogeneous. Such materials are often given names such as mixtures or composites.