The Fundamental Equations of Hydro-Thermo-Dynamics of a Real Fluid

 
• The Four Basic Principles
• Fluid Velocity
• The Equation of Continuity
• The Continuity of Salt
• Advective and Non-Advective Transport
• Non-Conservative Constituents
• Conservation of Momentum: The Equations of Absolute Motion
• Symmetry of the viscous stress tensor
• Equation of relative motion on the rotating earth
• Generation and dissipation of mechanical energy
• Conservation of total energy
• The first law of thermodynamics
• A special case of the first law
• Temperature and entropy-the Kelvin hypothesis
• A more general form of the Kelvin hypothesis for pure fluids
• Gibbs' extension of the Kelvin hypothesis to fluid mixtures
• Evaluation of the equations of state for gases
• Some further consequences of the Kelvin hypothesis
• The second law of thermodynamics
• The integral form of the second law
  • Extension of equations for mixtures to more than two constitutents
  • Free energy function
  • Mixture of ideal gases
• Some direct consequences of the second law in regard to the behavior of the entropy function
• Boundary conditions for the flux of salt and the kinematic condition in the presence of evaporation
• Boundary condition on the temperature or heat flux at the surface
• Boundary condition on the stress
• Summary of fundamental relations