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:
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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
Book by Warsi ZUA
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