Theory of Multicomponent Fluids

ISBN-13: 9781468492279 / Angielski / Miękka / 2012 / 310 str.

Donald A. Drew; Stephen L. Passman; Donald A. Drew

Opis

An exposition of the derivation and use of equations of motion for two-phase flow. The approach taken derives the equations of motion using ensemble averaging, and compares them with those derived from control volume methods. Closure for dispersed flows is discussed, and some fundamental solutions are given. The work focuses on the fundamental aspects of two-phase flow, and is intended to give the reader a background for understanding the dynamics as well as a system of equations that can be used in predictions of the behavior of dispersed two-phase flows. The exposition in terms of ensemble averaging is new, and combining it with modern continuum mechanics concepts makes this book unique. Intended for engineering, mathematics and physics researchers and advanced graduate students working in the field.

Spis treści

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.