Fluid Dynamics: Theoretical and Computational Approaches
Theoretical aspects of fluid dynamics with systematic, mathematical, and computational approaches.
Format: Hardcover, English, 752 pages
Other Versions: Library Binding
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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:
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.
Table of Contents
|Ch. 1||Kinematics of Fluid Motion|
|Ch. 2||The Conservation Laws and the Kinetics of Flow|
|Ch. 3||The Navier-Stokes Equations|
|Ch. 4||Flow of Inviscid Fluids|
|Ch. 5||Laminar Viscous Flow|
|Ch. 6||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 Odes|
|Mathematical Exposition 7: Geometry of Surfaces|
|Mathematical Exposition 8: Finite Difference Approximation Applied to PDE's|
|Mathematical Exposition 9: Frame Invariancy|