Fluid Dynamics: Theoretical and Computational Approaches, Third Edition - Rilegato

Warsi, Z.U.A.

9780849324079: Fluid Dynamics: Theoretical and Computational Approaches, Third Edition

Rilegato

ISBN 10: 0849324076 ISBN 13: 9780849324079

Casa editrice: CRC Press, 1998

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Fluid Dynamics presents the basic development of equations in coordinate-invariant form and their use in solving problems in laminar and turbulent flows. This book presents a thorough examination of fluid dynamics by combining fundamental principles with systematic mathematical, and computational approaches.

Chapters 1 and 2 provide the requisites of theoretical fluid dynamics - free from any coordinate system and covering all basic equations.

Chapter 3 examines the Navier-Stokes equations and Euler's equations in steady and non-steady curvilinear coordinates. It also discusses the essential aspects of vorticity and stream functions.

Chapter 4 describes inviscid incompressible and compressible flows, supplementing the treatment of the boundary layer theory.

Chapter 5 treats the exact solutions of the Navier-Stokes equations, classical and modern boundary layer theory, and incompressible and compressible forms of the Navier-Stokes formulations. It also discusses the hyperbolic system of partial differential equations and introduces the idea of characteristics through solutions of the Burger's and related equations.

In Fluid Dynamics, the author also:

Describes how to transform the complete Navier-Stokes system of equations to general steady and non-steady coordinates

Covers the method of vector and tensor analysis

Explores laminar flow theory

Provides a systematic approach to turbulence theory, starting with an introduction to the linear stability theory

Explains the theory of homogeneous and isotropic turbulence as well as the turbulent boundary layers

Lays a solid foundation for the theory of turbulence modeling for incompressible and compressible flows

Emphasizes learning the techniques for using the derived results in solving physical flow problems on high-speed computers

Discusses various numerical techniques for solving boundary layer and Navier-Stokes equations

Demonstrates the existence of characteristics in the solution of hyberbolic system of equations through a series of simple examples
Fluid Dynamics enables students and professionals to grasp and assimilate a constructive framework for modern fluid dynamics, providing a set of algorithmic tools to create useful physical and computational results.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Contenuti

Kinematics of Fluid Motion
The Conservation Laws and the Kinetics of Flow
The Navier-Stokes Equations
Flow of Inviscid Fluids
Laminar Viscous Flow
Turbulent Flow
Mathematical Exposition 1: Base Vectors and Various Representations
Mathematical Exposition 2: Theorems of Gauss, Green, and Stokes
Mathematical Exposition 3: Geometry of Space and Plane Curves
Mathematical Exposition 4: Formulae for Coordinate Transformation
Mathematical Exposition 5: Potential Theory
Mathematical Exposition 6: Singularities of the First Order ODE's
Mathematical Exposition 7: Geometry of Surfaces
Mathematical Exposition 8: Finite Difference Approximation Applied to PDE's
Mathematical Exposition 9: Frame Invariancy
Index