'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.
'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.
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Inhaltsangabe
1. Kinematics of Fluid Motion 2. The Conservation Laws and the Kinetics of Flow 3. The Navier-Stokes Equations 4. Flow of inviscid Fluids - Inviscid Incompressible Flow - Inviscid Compressible Flow 5. Laminar Viscous Flow - Exact Solutions - Boundary Layers - Navier-Stokes' Formulation 6. Trubulent Flow - Stability Theory and the Statistical Description of Turbulence - Development of the Averaged Equation - Basic Empirical and Boundary Layer Results in Turbulence - Turbulence Modeling 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 Index
1. Kinematics of Fluid Motion 2. The Conservation Laws and the Kinetics of Flow 3. The Navier-Stokes Equations 4. Flow of inviscid Fluids - Inviscid Incompressible Flow - Inviscid Compressible Flow 5. Laminar Viscous Flow - Exact Solutions - Boundary Layers - Navier-Stokes' Formulation 6. Trubulent Flow - Stability Theory and the Statistical Description of Turbulence - Development of the Averaged Equation - Basic Empirical and Boundary Layer Results in Turbulence - Turbulence Modeling 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 Index
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