Two-Fluid Model Stability, Simulation and Chaos

Zusatztext

<div>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.</div><div>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. </div><div>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.</div>

Autorenportrait

<div>Martín López de Bertodano is Associate Professor of Nuclear Engineering at Purdue University.</div><div>William D. Fullmer is a graduate student, specializing in computational fluid dynamics and computational multiphase flow, at Purdue University.</div><div>Alejandro Clausse, Universidad Nacional del Centro, Tandil, Argentina.</div><div>Victor H. Ransom is Professor Emeritus in the School of Nuclear Engineering at Purdue University.</div>

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