Two-Fluid Model Stability, Simulation and Chaos

This book addresses the linear and nonlinear two-phase stability of the one-dimensional Two-Fluid Model (TFM) material waves and the numerical methods used to solve it. The TFM fluid dynamic stability is a problem that remains open since its inception more than forty years ago. The difficulty is for...

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Bibliographic Details
Main Authors: Bertodano, Martín López de (Author), Fullmer, William (Author), Clausse, Alejandro (Author), Ransom, Victor H. (Author)
Corporate Author: SpringerLink (Online service)
Format: e-Book
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2017.
Edition:1st ed. 2017.
Subjects:
Nuclear engineering.
Fluid mechanics.
Nonlinear Optics.
Thermodynamics.
Heat engineering.
Heat transfer.
Mass transfer.
Chemistry, Technical.
Nuclear Energy.
Engineering Fluid Dynamics.
Engineering Thermodynamics, Heat and Mass Transfer.
Industrial Chemistry.
Online Access:Full-text access
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Description
Summary:This book addresses the linear and nonlinear two-phase stability of the one-dimensional Two-Fluid Model (TFM) material waves and the numerical methods used to solve it. The TFM fluid dynamic stability is a problem that remains open since its inception more than forty years ago. The difficulty is formidable because it involves the combined challenges of two-phase topological structure and turbulence, both nonlinear phenomena. The one dimensional approach permits the separation of the former from the latter. The authors first analyze the kinematic and Kelvin-Helmholtz instabilities with the simplified one-dimensional Fixed-Flux Model (FFM). They then analyze the density wave instability with the well-known Drift-Flux Model. They demonstrate that the Fixed-Flux and Drift-Flux assumptions are two complementary TFM simplifications that address two-phase local and global linear instabilities separately. Furthermore, they demonstrate with a well-posed FFM and a DFM two cases ofnonlinear two-phase behavior that are chaotic and Lyapunov stable. On the practical side, they also assess the regularization of an ill-posed one-dimensional TFM industrial code. Furthermore, the one-dimensional stability analyses are applied to obtain well-posed CFD TFMs that are either stable (RANS) or Lyapunov stable (URANS), with the focus on numerical convergence.
Physical Description:XX, 358 p. 74 illus., 60 illus. in color. online resource.
ISBN:9783319449685
DOI:10.1007/978-3-319-44968-5

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