"Multiphase Flow Dynamics 1: Fundamentals" by Nikolay Ivanov Kolev

This monograph package contains theory, methods and practical experience for describing complex transient multi-phase processes in arbitrary geometrical configurations, providing a systematic presentation of the theory and practice of numerical multi-phase fluid dynamics.

In Volume 1 the concept of three-fluid modeling is presented in detail "from the origin to the applications." This includes derivation of local volume- and timeaveraged equations and their working forms, development of methods for their numerical integration and finally finding a variety of solutions for different problems of practical interest.
Special attention is paid in Volume 1 to the link between the partial differential equations and the constitutive relations called closure laws without providing any information on the closure laws.

The book is intended to be a useful source of information for students in higher semesters and in PhD programs.


Table of Contents
A Few Words about the New Editions of Volumes 1 through 5
Introduction
References
Summary
Nomenclature
Mass conservation
Conservation of Momentum
Derivatives for the equations of state
On the variety of notations of the energy conservation for single-phase flow
First and second laws of the thermodynamics
Some simple applications of mass and energy conservation
Exergy of multi-phase multi-component systems
One-dimensional three-fluid flows
Detonation waves caused by chemical reactions or by melt-coolant interactions
Conservation equations in general curvilinear coordinate systems
Type of the system of PDEs
Numerical solution methods for multi-phase flow problems
Numerical methods for multi-phase flow in curvilinear coordinate systems
Visual demonstration of the method
Appendix 1 Brief introduction to vector analysis
Appendix 2 Basics of the coordinate transformation theory
Index