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E-book
Author Danko, George L

Title Model elements and network solutions of heat, mass and momentum transport processes / George L. Danko
Published Berlin, Germany : Springer, 2016, ©2017

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Description 1 online resource (260 pages)
Series Heat and Mass Transfer
Heat and mass transfer.
Contents 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
Summary This work provides an enormous contribution to the broad effort of modeling heat, mass and momentum transport in multi-physics problems with the development of new solution approaches. It re-visits the time-honored technique of network application using flow network solutions for all transport process components for a coupled modeling task. The book further provides as formulation of the conservation laws for mass, energy and momentum, specifically for the branches and nodes of transport networks using the combination of the Eulerian and Lagrangean modeling methods. With the extension of Bernoulli's original concept, a new solution is given for the flow field of viscous and compressible fluids as driven by the balance of mechanical energy, coupled to the thermodynamics of the transport system. Applicable to simple or large-scale tasks, the new model elements and methods are built on first principles. Throughout the work, the book provides original formulations, their mathematical derivations as well as applications in a numerical solution scheme
Notes 7.5 State-Flux Network Model for Time Dependent Mechanical Energy Transport
Bibliography Includes bibliographical references and index
Notes Print version record
Subject Transport theory.
Transport theory -- Mathematical models
TECHNOLOGY & ENGINEERING -- Engineering (General)
TECHNOLOGY & ENGINEERING -- Reference.
Transport theory
Transport theory -- Mathematical models
Form Electronic book
ISBN 9783662529317
3662529319