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This textbook offers a comprehensive exploration of turbulence in fluids and its complex modeling, tailored for postgraduate students and advanced undergraduates. It examines the multifaceted behavior of turbulent flows marked by irregular fluctuations in velocity, pressure, and temperature and addresses the challenges these pose for analysis and prediction. The text covers foundational theories and key modeling strategies, guiding readers from the basics of turbulent flow and laminar instabilities to the transition to turbulence. It presents detailed discussions on homogeneous and isotropic turbulence, the governing equations of turbulent motion, and the closure problem, with a focus on achieving simplifications that are physically, mathematically, and computationally meaningful. The book also delves into advanced modeling techniques, including the Unsteady Reynolds-Averaged Navier-Stokes (URANS) approach and its closure models, as well as hybrid methods such as URANS-URANS and URANS-LES (Large Eddy Simulation). Designed to deepen understanding, this text serves as a valuable resource for mastering the complexities of fluid dynamics and turbulence modeling.
List of contents
Introduction to turbulent flows.- Mathematical modeling for fluid dynamics.- Instabilities in laminar flows.- Transition to turbulence.- Homogeneous and isotropic turbulence.- Equations for turbulent flows and the closure problem.- URANS methodology and closing models.- URANS Closing Models with zero balance equation.- URANS closure models with one or more balance equations.- Sub-Grid Closure Models for the LES Methodology.- URANS-URANS and LES-URANS hybrid closure models.
About the author
Aristeu da Silveira Neto is a professor at the Faculty of Mechanical Engineering at the Federal University of Uberlândia (UFU), where he teaches and conducts research in fluid mechanics, with a particular focus on turbulence modeling. His academic work spans both undergraduate and postgraduate education, and he has supervised a large number of students in these areas. His research interests include turbulent flows, transition phenomena, and computational modeling.
Summary
This textbook offers a comprehensive exploration of turbulence in fluids and its complex modeling, tailored for postgraduate students and advanced undergraduates. It examines the multifaceted behavior of turbulent flows—marked by irregular fluctuations in velocity, pressure, and temperature—and addresses the challenges these pose for analysis and prediction. The text covers foundational theories and key modeling strategies, guiding readers from the basics of turbulent flow and laminar instabilities to the transition to turbulence. It presents detailed discussions on homogeneous and isotropic turbulence, the governing equations of turbulent motion, and the closure problem, with a focus on achieving simplifications that are physically, mathematically, and computationally meaningful. The book also delves into advanced modeling techniques, including the Unsteady Reynolds-Averaged Navier-Stokes (URANS) approach and its closure models, as well as hybrid methods such as URANS-URANS and URANS-LES (Large Eddy Simulation). Designed to deepen understanding, this text serves as a valuable resource for mastering the complexities of fluid dynamics and turbulence modeling.
