7.5 State-Flux Network Model for Time Dependent Mechanical Energy Transport.

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Preface; Contents; About the Author; Symbols, Definitions Commonly Used; 1 Introduction; Abstract; 1.1 Introduction; 2 Phenomenological Properties and Constitutive Equations of Transport Processes; Abstract; 2.1 Density; 2.2 Mixture Density, Concentration, Mass Fraction and Gas Law; 2.3 Temperature; 2.4 Pressure; 2.5 Viscosity in Ideal Gases; 2.6 Viscosity in Real Gases; 2.7 Viscosity in Fluids; 2.8 Typical Viscosity Variations; 2.9 Viscosity in Gas Mixtures; 2.10 Viscous Stresses in Three Dimensions; 2.11 Viscosity and Shear Stress in Turbulent Flow.

2.12 Molecular Thermal Conductivity in Gases2.13 Thermal Conductivity in Gas Mixtures; 2.14 Thermal Conductivity in Liquids and Solids; 2.15 Thermal Conductivity and Diffusivity in Turbulent Flow; 2.16 Mass Diffusivity in Gases; 2.17 Mass Diffusivity in Gas Mixtures; 2.18 Mass Diffusivity in Liquids; 2.19 Mass Diffusivity in Solids; 2.20 Diffusivity in Turbulent Flow; 2.21 Specific Heat; 2.22 Compressibility of Gas and Liquid; 2.23 Corollary of the Elements of Transport Processes; 3 Conservation of a Scalar Extensive in Integral Form; Abstract; 3.1 The Eulerian Shell-Balance Equation.

3.2 Eulerian Balance Equation with Lagrangean Internal Transport3.3 Comparison of the Eulerian and the New Eulerian-Lagrangean Forms; 4 Conservation of a Scalar Extensive in Differential Form; Abstract; 4.1 Differential Species Balance in a Finite Cell; 4.2 Differential Cell Balances with Substance Transport and Bulk Flow Conservation; 4.3 Directional, off-Centered Differential Substance Balance Equations; 5 Conservation of a Scalar Extensive in a State-Flux, Space-Time, Finite-Volume Cell; Abstract; 5.1 State-Flux, Finite-Volume Cell for Unit Courant Number.

5.2 Multiple-Level, State-Flux, Finite-Volume Cell with Arbitrary Courant Number5.3 State-Flux, Space-Time Finite-Volume Block Model with Arbitrary Courant Number; 5.4 Extended Applications of the State-Flux, Space-Time Finite-Volume Block Model; 5.5 Synopsis of the SFST Substance Balance Formulation; 6 Conservation of Energy in Integral, Differential, and State-Flux Forms; Abstract; 6.1 Integral Balance Equation for Energy; 6.2 Separation of the Mechanical and Thermal Components in the Integral Balance Equation for Energy; 6.2.1 The Case of Zero Stagnant Volume.

6.2.2 The Case of Nonzero Stagnant Volume7 Transport Models for Mechanical Energy; Abstract; 7.1 Differential Form of Mechanical Energy Balance in a Finite Cell for Unit Courant Number; 7.2 State-Flux, Finite-Volume, Mechanical Energy Transport Model for a Network Branch; 7.3 State-Flux, Finite-Volume, Mechanical Energy Transport Model for a Network Junction; 7.3.1 Mass Balance in a Junction Node; 7.3.2 Mechanical Energy Balance for a Junction Node; 7.4 State-Flux Network Model for Mechanical Energy Transport in Steady State.