Author | Kiselev, Sergey P. author |
---|---|
Title | Foundations of Fluid Mechanics with Applications [electronic resource] : Problem Solving Using Mathematicaยฎ / by Sergey P. Kiselev, Evgenii V. Vorozhtsov, Vasily M. Fomin |
Imprint | Boston, MA : Birkhรคuser Boston : Imprint: Birkhรคuser, 1999 |
Connect to | http://dx.doi.org/10.1007/978-1-4612-1572-1 |
Descript | XIV, 575 p. online resource |
1 Definitions of Continuum Mechanics -- 1.1 Vectors and Tensors -- 1.2 Eulerian and Lagrangian Description of a Continuum: Strain Tensor -- 1.3 Stress Tensor -- References -- 2 Fundamental Principles and Laws of Continuum Mechanics -- 2.1 Equations of Continuity, Motion, and Energy for a Continuum -- 2.2 The HamiltonโOstrogradskyโs Variational Principle in Continuum Mechanics -- 2.3 Conservation Laws for Energy and Momentum in Continuum Mechanics -- References -- 3 The Features of the Solutions of Continuum Mechanics Problems -- 3.1 Similarity and Dimension Theory in Continuum Mechanics -- 3.2 The Characteristics of Partial Differential Equations. -- 3.3 Discontinuity Surfaces in Continuum Mechanics -- References -- 4 Ideal Fluid -- 4.1 Integrals of Motion Equations of Ideal Fluid and Gas -- 4.2 Planar Irrotational Steady Motions of an Ideal Incompressible Fluid -- 4.3 Axisymmetric and Three-Dimensional Potential Ideal Incompressible Fluid Flows -- 4.4 Nonstationary Motion of a Solid in the Fluid -- 4.5 Vortical Motions of Ideal Fluid -- References -- 5 Viscous Fluid -- 5.1 General Equations of Viscous Incompressible Fluid -- 5.2 Viscous Fluid Flows at Small Reynolds Numbers -- 5.3 Viscous Fluid Flows at Large Reynolds Numbers -- 5.4 Turbulent Fluid Flows -- References -- 6 Gas Dynamics -- 6.1 One-Dimensional Stationary Gas Flows -- 6.2 Nonstationary One-Dimensional Flows of Ideal Gas -- 6.3 Planar Irrotational Ideal Gas Motion (Linear Approximation) -- 6.4 Planar Irrotational Stationary Ideal Gas Flow (General Case) -- 6.5 The Fundamentals of the Gasdynamic Design Technology -- References -- 7 Multiphase Media -- 7.1 Mathematical Models of Multiphase Media -- 7.2 Correctness of the Cauchy Problem: Relations at Discontinuities in Multiphase Media -- 7.3 Quasi-One-Dimensional Flows of a Gas-Particle Mixture in Laval Nozzles -- 7.4 The Continual-Discrete Model and Caustics in the Pseudogas of Particles -- 7.5 Nonstationary Processes in Gas-Particle Mixtures -- 7.6 The Flows of Heterogeneous Media without Regard for Inertial Effects -- 7.7 Wave Processes in Bubbly Liquids -- References -- Appendix B: Glossary of Programs