Fluid dynamics : theoretical and computational approaches
著者
書誌事項
Fluid dynamics : theoretical and computational approaches
CRC Press, c1993
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
Fluid Dynamics presents a thorough, interconnected examination of fluid dynamics by combining the fundamental principles with systematic mathematical and computational approaches. The mathematical techniques necessary for understanding continuum phenomena in various coordinate systems are provided in a fully self-contained form. The text, in addition to laminar flow theory, also provides a solid foundation in turbulence modelings with detailed discussions on topics such as stability theory and the theory of isotropic turbulence.
Fluid Dynamics is excellent for advanced students in aerospace, mechanical, and applied mathematics fields.
目次
Kinematics of Fluid Motion. The Conservation Lawsand the Kinetics of Flow. The Navier-Stokes Equations. Flow of Inviscid Fluids. Laminar Viscous Flow. Turbulent Flow. Mathematical Expositions: Base Vectors and Various Representations. Theorems of Gauss, Green, and Stokes. Geometry of Space and Plane Curves. Formulae for Coordinate Transformation. Potential Theory. Singularities of the First Order Odes. Geometry of Surfaces. Finite Difference Approximation Applied to PDE's. Frame Invariancy.
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