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

In this volume the local volume and time averaging is used to derive a complete set of conservation equations for three fluids each of them having multi components as constituents.

Large parts of the book are devoted on the design of successful numerical methods for solving the obtained system of partial differential equations.
Finally the analysis is repeated for boundary fitted curvilinear coordinate systems designing methods applicable for interconnected multi-blocks.
Fundamentals of multiphase dynamics are provided.
Includes various interactive multimedia demonstrations.
Multi-phase flows are part of our natural environment such as tornadoes, typhoons, air and water pollution and volcanic activities as well as part of industrial technology such as power plants, combustion engines, propulsion systems, or chemical and biological industry.
The industrial use of multi-phase systems requires analytical and numerical strategies for predicting their behavior.

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.


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