Fluid dynamics : theoretical and computational approaches
著者
書誌事項
Fluid dynamics : theoretical and computational approaches
CRC Press, c1999
2nd ed
大学図書館所蔵 全27件
  青森
  岩手
  宮城
  秋田
  山形
  福島
  茨城
  栃木
  群馬
  埼玉
  千葉
  東京
  神奈川
  新潟
  富山
  石川
  福井
  山梨
  長野
  岐阜
  静岡
  愛知
  三重
  滋賀
  京都
  大阪
  兵庫
  奈良
  和歌山
  鳥取
  島根
  岡山
  広島
  山口
  徳島
  香川
  愛媛
  高知
  福岡
  佐賀
  長崎
  熊本
  大分
  宮崎
  鹿児島
  沖縄
  韓国
  中国
  タイ
  イギリス
  ドイツ
  スイス
  フランス
  ベルギー
  オランダ
  スウェーデン
  ノルウェー
  アメリカ
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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