Abstract: The basic equations of fluid mechanics required for the development and solution of finite element equations for practical fluid flow problems are given. The basic characteristics of fluids are described and the classification of fluids as Newtonian and non-Newtonian fluids is introduced. The concepts of streamline and path line are given along with the nature of steady and unsteady flows. Inviscid and viscous flows are explained. The classification of flows, based on dynamic macroscopic behavior of the flow into laminar and turbulent flows is given. The methods of describing fluid flows using Lagrangian and Eulerian methods are explained. The continuity equation and the equations of motion (momentum equations) are derived. In this context, the state of stress in a fluid is also discussed. The most general Navier–Stokes equations for compressible Newtonian fluids are derived. The energy, state, and viscosity equations are presented. The solution procedure used for solving three-dimensional flow problems is summarized. The concepts of inviscid fluid flow, irrotational flow, velocity potential, stream functions, and Bernoulli equation and their roles in solving fluid flow problems are discussed.
Publication Year: 2018
Publication Date: 2018-01-01
Language: en
Type: book-chapter
Indexed In: ['crossref']
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Cited By Count: 3
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