Ebook: Theory and Applications of Viscous Fluid Flows
Author: Radyadour Kh. Zeytounian (auth.)
- Tags: Fluid- and Aerodynamics, Mathematical Methods in Physics, Theoretical and Applied Mechanics, Applications of Mathematics
- Year: 2004
- Publisher: Springer-Verlag Berlin Heidelberg
- Edition: 1
- Language: English
- pdf
The purpose of Theory and Applications of Viscous Fluid Flows is to close the gap between standard undergraduate texts on fluid mechanics and monographical publications devoted to specific aspects of viscous fluid flows. After a general introduction, each chapter serves as an introduction to a special topic that will facilitate later application by readers in their research work. The book will benefit beginning graduate students and young researchers interested in a rational and systematic account of various theoretical and mathematical aspects of viscous fluid flow phenomena, as well as their modelling in relation to practical viscous and heat conducting problems. This volume complements, but is independent of, Zeytounian’s Theory and Applications of Nonviscous Fluid Flows.
The purpose of Theory and Applications of Viscous Fluid Flows is to close the gap between standard undergraduate texts on fluid mechanics and monographical publications devoted to specific aspects of viscous fluid flows. After a general introduction, each chapter serves as an introduction to a special topic that will facilitate later application by readers in their research work. The book will benefit beginning graduate students and young researchers interested in a rational and systematic account of various theoretical and mathematical aspects of viscous fluid flow phenomena, as well as their modelling in relation to practical viscous and heat conducting problems. This volume complements, but is independent of, Zeytounian’s Theory and Applications of Nonviscous Fluid Flows.
The purpose of Theory and Applications of Viscous Fluid Flows is to close the gap between standard undergraduate texts on fluid mechanics and monographical publications devoted to specific aspects of viscous fluid flows. After a general introduction, each chapter serves as an introduction to a special topic that will facilitate later application by readers in their research work. The book will benefit beginning graduate students and young researchers interested in a rational and systematic account of various theoretical and mathematical aspects of viscous fluid flow phenomena, as well as their modelling in relation to practical viscous and heat conducting problems. This volume complements, but is independent of, Zeytounian’s Theory and Applications of Nonviscous Fluid Flows.
Content:
Front Matter....Pages I-XV
Introduction....Pages 1-9
Navier-Stokes-Fourier Exact Model....Pages 11-33
Some Features and Various Forms of NSF Equations....Pages 35-56
Some Simple Examples of Navier, NS and NSF Viscous Fluid Flows....Pages 57-88
The Limit of Very Large Reynolds Numbers....Pages 89-144
The Limit of Very Low Reynolds Numbers....Pages 145-164
Incompressible Limit: Low Mach Number Asymptotics....Pages 165-189
Some Viscous Fluid Motions and Problems....Pages 191-275
Some Aspects of a Mathematically Rigorous Theory....Pages 277-310
Linear and Nonlinear Stability of Fluid Motion....Pages 311-386
A Finite-Dimensional Dynamical System Approach to Turbulence....Pages 387-448
Back Matter....Pages 449-488
The purpose of Theory and Applications of Viscous Fluid Flows is to close the gap between standard undergraduate texts on fluid mechanics and monographical publications devoted to specific aspects of viscous fluid flows. After a general introduction, each chapter serves as an introduction to a special topic that will facilitate later application by readers in their research work. The book will benefit beginning graduate students and young researchers interested in a rational and systematic account of various theoretical and mathematical aspects of viscous fluid flow phenomena, as well as their modelling in relation to practical viscous and heat conducting problems. This volume complements, but is independent of, Zeytounian’s Theory and Applications of Nonviscous Fluid Flows.
Content:
Front Matter....Pages I-XV
Introduction....Pages 1-9
Navier-Stokes-Fourier Exact Model....Pages 11-33
Some Features and Various Forms of NSF Equations....Pages 35-56
Some Simple Examples of Navier, NS and NSF Viscous Fluid Flows....Pages 57-88
The Limit of Very Large Reynolds Numbers....Pages 89-144
The Limit of Very Low Reynolds Numbers....Pages 145-164
Incompressible Limit: Low Mach Number Asymptotics....Pages 165-189
Some Viscous Fluid Motions and Problems....Pages 191-275
Some Aspects of a Mathematically Rigorous Theory....Pages 277-310
Linear and Nonlinear Stability of Fluid Motion....Pages 311-386
A Finite-Dimensional Dynamical System Approach to Turbulence....Pages 387-448
Back Matter....Pages 449-488
....