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Abstract

The stability of the Two-Fluid Model (TFM) is an outstanding problem since the inception more than 40 years ago. The difficulty stems from the combined challenges of turbulence in each fluid field and the dynamics of the interfacial topological structure, both of them nonlinear. This book addresses the linear and nonlinear two-phase fluid dynamic stability of the one-dimensional (1D) TFM material waves and the numerical methods used to solve it. The objective is to analyze two-phase linear and nonlinear physical stabilization and artificial regularization separate from turbulence.

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Acknowledgments

First of all we would like to thank our families, friends, and the many people, too many to mention, who provided support, read the manuscript, and offered comments.

We would like to express appreciation to Profs. Mamoru Ishii, Richard Lahey, and Donald Drew who contributed to the ideas in this book through instruction, mentoring, and many discussions over the course of the years. Former collaborators Prof. Min Chen and Dr. Deoras Prahbudarwadkar and former students Drs. Raj Krishnamurthy, Himanshu Pokharna, Brahma Nanda Reddy Vanga, and Raúl Marino also made significant contributions. Current students Trevor Kyle and Krishna Chetty helped with the figures and calculations. Above all, we owe a debt of gratitude to Dr. Avinash Vaidheeswaran who contributed heavily to the manuscript, particularly Chapters 5 and 9.

Special thanks go to Marta Moldvai, the Editor, who enabled us to publish this book. Finally, we are indebted to the sponsors and funding institutions that made the research possible: Drs. Stephen Beus and John Buchanan from Bettis Atomic Power Laboratory, the NEUP Program from the U.S. Department of Energy, Purdue University, and CNEA and CONICET from Argentina.

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de Bertodano, M.L., Fullmer, W., Clausse, A., Ransom, V.H. (2017). Introduction. In: Two-Fluid Model Stability, Simulation and Chaos. Springer, Cham. https://doi.org/10.1007/978-3-319-44968-5_1

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  • DOI: https://doi.org/10.1007/978-3-319-44968-5_1

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