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.- Conservation Equations in the Relative Coordinate System.- Visual Demonstration of the Method.

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