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E-book
Author Städtke, Herbert.

Title Gasdynamic aspects of two-phase flow : hyperbolicity, wave propagation phenomena, and related numerical methods / Herbert Städtke
Published Weinheim : Wiley-VCH, [2006]
©2006
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Description 1 online resource (xiii, 273 pages) : illustrations
Contents Cover Contents Preface List of frequently used symbols 1 Introduction 2 Single-Phase Gas Flow 2.1 Euler equations for one-dimensional flow 2.2 Quasi-one-dimensional flow in ducts of variable cross section 2.3 Characteristic analysis of flow equations 2.4 Shock waves 2.5 Flow through convergent divergent nozzles 2.6 Shock tube 2.7 Multidimensional flow conditions References 3 Two-Fluid Model of Two-Phase Flow 3.1 Balance equations of two fluid model of two-phase flow 3.2 Single pressure two-fluid model 3.3 Remarks on interfacial transfer terms References 4 Simplified Two-Phase Flow Models 4.1 Homogeneous equilibrium model 4.1.1 Two-component two-phase flow 4.1.2 One-component two-phase flow 4.2 Homogeneous nonequilibrium two-phase flow 4.3 Wallis model References 5 A Hyperbolic Model for Two-Phase Flow 5.1 One-dimensional flow 5.1.1 Interfacial momentum coupling terms 5.1.2 Final form of conservation equations 5.1.3 Characteristic analysis eigenvalues 5.1.4 Characteristic analysis eigenvectors and splitting of coefficient matrix 5.1.5 Homogeneous flow conditions as a limiting case 5.1.6 Use of conservative variables 5.1.7 Quasi-one-dimensional flow through channels of variable cross section 5.2 Two-dimensional two-phase flow conditions 5.2.1 Basic flow equations for two-dimensional flow 5.2.2 Eigenvalues and split matrices 5.2.3 Conservative form of flow equations 5.3 Final remarks to the hyperbolic two-phase flow model References 6 Dispersion of Sound Waves 6.1 Acoustic approximation of flow equations 6.2 Dispersion analysis of gas particle flows References 7 Numerical Methods for Hyperbolic Two-Phase Flow System Equations 7.1 Mathematical nature of two-phase flow equations 7.2 Overview on hyperbolic numerical methods 7.3 The Split Coefficient Matrix method 7.4 Godunov methods and Approximate Riemann solver 7.4.1 General Godunov approach 7.4.2 The linearized Riemann solver 7.4.3 The Roe solver 7.5 Flux Vector Splitting method References 8 Remarks on the Advanced Two-Phase Flow Module 8.1 Basic modeling approach 8.1.1 Balance equations of two-fluid model 8.1.2 Flow topology and interfacial area 8.1.3 Algebraic source terms 8.1.4 State properties 8.2 Numerical method 8.2.1 Conservative form of flow equations 8.2.2 Finite volume discretization 8.2.3 Second-order accuracy 8.2.4 Implicit time integration References 9 Numerical Results and Applications 9.1 Phase separation and void waves 9.1.1 Analytical model 9.1.2 Numerical results 9.2 U-tube oscillations 9.2.1 Analytical solution 9.2.2 Numerical results 9.3 Pressure wave propagation phenomena 9.3.1 Single-phase gas flow 9.3.2 Two-phase flow 9.4 Shock tube 9.4.1 Single-phase gas 9.4.2 Two-phase flow 9.5 Multidimensional wave propagation and explosion phenomena 9.5.1 Single-phase gas flow 9.5.2 Two-phase flow 9.6 Flow through convergent divergent nozzles 9.6.1 The ASTAR nozzle 9.6.2 Deich nozzle tests 9.6.3 Moby Dick nozzle tests 9.7 Blowdown phenomena 9.7.1 Edwards pipe blowdown 9.7.2 Canon experiment 9.7.3 Two-vessel test case References 10 Summary and Concluding Remarks Appendices A Basic Flow Equations for Two-Fluid Model of Two-Phase Flow A.1 Flow topology A.2 Single-phase flow equations A.3 Two-phase balance equations B Characteristic Analysis of Flow Equations: Vectors and Matrices B.1 Single-phase gas flow, one-dimensional conditions B.2 Single-phase gas flow, two-dimensional conditions B.3 Homogeneous nonequilibrium two-phase flow B.4 Wallis model B.5 Hyperbolic two-phase flow model one-dimensional conditions B.6 Hyperbolic two-phase flow model two-dimensional conditions Index Last Page
Summary Here, the author, a researcher of outstanding experience in this field, summarizes and combines the recent results and findings on advanced two-phase flow modeling and numerical methods otherwise dispersed in various journals, while also providing explanations for numerical and modeling techniques previously not covered by other books. The resulting systematic and comprehensive monograph is unrivalled in its kind, serving as a reference for both researchers and engineers working in engineering as well as in environmental science
Bibliography Includes bibliographical references and index
Notes Print version record
Subject Gas dynamics.
Two-phase flow.
Form Electronic book
ISBN 1280723017
3527609113 (electronic bk.)
3527610243
9781280723018
9783527609116 (electronic bk.)
9783527610242
(Cloth)
(hbk.)