Fluid dynamics : theoretical and computational approaches

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書誌事項

Fluid dynamics : theoretical and computational approaches

Z.U.A. Warsi

CRC Press, c1999

2nd ed

大学図書館所蔵 件 / 全27件

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内容説明・目次

内容説明

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.

目次

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

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