Turbulent Flows: Physical Analysis and Theoretical Modeling

This textbook covers Turbulence in Fluids and its intricate modeling. Authored with a focus on postgraduate teaching and advanced undergraduate courses, this book delves into the multifaceted nature of turbulent flows, characterized by unpredictable fluctuations in speed, pressure, and temperature. Addressing the challenges posed by these fluctuations, the text navigates through essential topics, including the theoretical foundations and prominent approach techniques for modeling turbulence in fluid flows. From the introduction of turbulent flows to the mathematical modeling for fluid dynamics, instabilities in laminar flows, and the transition to turbulence, the book meticulously covers the theoretical aspects of turbulence. It provides in-depth discussions on homogeneous and isotropic turbulence, equations for turbulent flows, and the closure problem, emphasizing the author's pursuit of simplifications in the analysis, crucial from physical, mathematical, and computational perspectives. The book unfolds with a detailed exploration of URANS (Unsteady Reynolds-Averaged Navier-Stokes) methodology and closing models, extending to hybrid closure models such as URANS-URANS and URANS-LES (Large Eddy Simulation) methodologies. Aiming to facilitate a profound understanding of turbulence, this book offers a valuable resource for those seeking to grasp the complexities of fluid dynamics and turbulence modeling.