Fluid dynamics: theoretical and computational approaches

Description

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:oDescribes how to transform the complete Navier-Stokes system of equations to general steady and non-steady coordinatesoCovers the method of vector and tensor analysisoExplores laminar flow theoryoProvides a systematic approach to turbulence theory, starting with an introduction to the linear stability theoryoExplains the theory of homogeneous and isotropic turbulence as well as the turbulent boundary layersoLays a solid foundation for the theory of turbulence modeling for incompressible and compressible flowsoEmphasizes learning the techniques for using the derived results in solving physical flow problems on high-speed computersoDiscusses various numerical techniques for solving boundary layer and Navier-Stokes equationsoDemonstrates the existence of characteristics in the solution of hyberbolic system of equations through a series of simple examplesFluid 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.