Gasdynamic Aspects of TwoPhase Flow: Hyperbolicity, Wave Propagation Phenomena and Related Numerical MethodsISBN: 9783527405787
288 pages
October 2006

1 Introduction.
2 SinglePhase Gas Flow.
2.1 Euler equations foronedimensional flow.
2.2 Quasionedimensional flow in ducts of variable cross section.
2.3 Characteristic analysis of flow equations.
2.4 Shockwaves.
2.5 Flow through convergent–divergent nozzles.
2.6 Shocktube.
2.7 Multidimensional flow conditions.
References.
3 TwoFluid Model of TwoPhase Flow.
3.1 Balance equations of two fluid model of twophase flow.
3.2 Single pressure twofluid model.
3.3 Remarks on interfacial transfer terms.
References.
4 Simplified TwoPhase Flow Models.
4.1 Homogeneous equilibrium model.
4.1.1 Twocomponent twophase flow.
4.1.2 Onecomponent twophase flow.
4.2 Homogeneous nonequilibrium twophase flow.
4.3 Wallis model.
References.
5 A Hyperbolic Model for TwoPhase Flow.
5.1 Onedimensional flow.
5.1.1 Interfacial momentum coupling terms.
5.1.2 Final form of conservation equations.
5.1.3 Characteristic analysis– eigen values.
5.1.4 Characteristic analysis – eigen vectors 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 Quasionedimensional flow through channels of variable cross section.
5.2 Twodimensional twophase flow conditions.
5.2.1 Basic flow equations for twodimensional flow.
5.2.2 Eigen values and split matrices.
5.2.3 Conservative form of flow equations.
5.3 Final remarks to the hyperbolic twophase 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 TwoPhase Flow System Equations.
7.1 Mathematical nature of twophase 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 TwoPhase Flow Module.
8.1 Basic modeling approach.
8.1.1 Balance equations of twofluid model.
8.1.2 Flow topology and interfacial area.
8.1.3 Algebraicsourceterms.
8.1.4 State properties.
8.2 Numericalmethod.
8.2.1 Conservative form of flow equations.
8.2.2 Finite volume discretization.
8.2.3 Secondorder accuracy.
8.2.4 Implicit time integration.
References.
9 Numerical Results and Applications.
9.1 Phase separation and voidwaves.
9.1.1 Analytical model.
9.1.2 Numerical results.
9.2 Utube oscillations.
9.2.1 Analytical solution.
9.2.2 Numerical results.
9.3 Pressure wave propagation phenomena.
9.3.1 Singlephase gas flow.
9.3.2 Twophase flow.
9.4 Shocktube.
9.4.1 Singlephase gas.
9.4.2 Twophase flow.
9.5 Multidimensional wave propagation and explosion phenomena.
9.5.1 Singlephase gas flow.
9.5.2 Twophase flow.
9.6 Flow through convergent–divergent nozzles.
9.6.1 The ASTA Rnozzle.
9.6.2 Deichnozzle tests.
9.6.3 Moby–Dick nozzle tests.
9.7 Blow down phenomena.
9.7.1 Edwards’pipe blow down.
9.7.2 Canonexperiment.
9.7.3 Twovessel test case.
References.
10 Summary and Concluding Remarks.
Appendices.
A Basic Flow Equations for TwoFluid Model of TwoPhase Flow.
A.1 Flow topology.
A.1.1 Phase distribution function.
A.1.2 Interfacial properties.
A.1.3 Transport equation for interfacial area.
A.2 Singlephase flow equations.
A.3 Twophase balance equations.
A.3.1 Balance equation for mass.
A.3.2 Balance equation for momentum.
A.3.3 Balance equation for energy.
A.3.4 Summary of twophase balance equations.
B Characteristic Analysis of Flow Equations: Vectors and Matrices.
B.1 Singlephase gas flow, onedimensional conditions.
B.2 Singlephase gas flow, twodimensional conditions.
B.3 Homogeneous non equilibrium twophase flow.
B.4 Wallis model.
B.5 Hyperbolic twophase flow model–onedimensional conditions.
B.6 Hyperbolic twophase flow model–twodimensional conditions.
Index.
Gasdynamic Aspects of TwoPhase Flow: Hyperbolicity, Wave Propagation Phenomena and Related Numerical Methods (US $236.00)
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