Ebook: Foundations of Fluid Mechanics with Applications: Problem Solving Using Mathematica®
- Genre: Physics // Mechanics: Fluid Mechanics
- Tags: Engineering Fluid Dynamics, Engineering general, Appl.Mathematics/Computational Methods of Engineering
- Series: Modeling and Simulation in Science Engineering and Technology
- Year: 1999
- Publisher: Birkhäuser Basel
- Edition: 1
- Language: English
- pdf
Fluid mechanics (FM) is a branch of science dealing with the investi gation of flows of continua under the action of external forces. The fundamentals of FM were laid in the works of the famous scientists, such as L. Euler, M. V. Lomonosov, D. Bernoulli, J. L. Lagrange, A. Cauchy, L. Navier, S. D. Poisson, and other classics of science. Fluid mechanics underwent a rapid development during the past two centuries, and it now includes, along with the above branches, aerodynamics, hydrodynamics, rarefied gas dynamics, mechanics of multi phase and reactive media, etc. The FM application domains were expanded, and new investigation methods were developed. Certain concepts introduced by the classics of science, however, are still of primary importance and will apparently be of importance in the future. The Lagrangian and Eulerian descriptions of a continuum, tensors of strains and stresses, conservation laws for mass, momentum, moment of momentum, and energy are the examples of such concepts and results. This list should be augmented by the first and second laws of thermodynamics, which determine the character and direction of processes at a given point of a continuum. The availability of the conservation laws is conditioned by the homogeneity and isotrop icity properties of the Euclidean space, and the form of these laws is related to the Newton's laws. The laws of thermodynamics have their foundation in the statistical physics.
Content:
Front Matter....Pages i-xiv
Definitions of Continuum Mechanics....Pages 1-74
Fundamental Principles and Laws of Continuum Mechanics....Pages 75-153
The Features of the Solutions of Continuum Mechanics Problems....Pages 155-185
Ideal Fluid....Pages 187-266
Viscous Fluid....Pages 267-310
Gas Dynamics....Pages 311-400
Multiphase Media....Pages 401-525
Back Matter....Pages 526-575
Content:
Front Matter....Pages i-xiv
Definitions of Continuum Mechanics....Pages 1-74
Fundamental Principles and Laws of Continuum Mechanics....Pages 75-153
The Features of the Solutions of Continuum Mechanics Problems....Pages 155-185
Ideal Fluid....Pages 187-266
Viscous Fluid....Pages 267-310
Gas Dynamics....Pages 311-400
Multiphase Media....Pages 401-525
Back Matter....Pages 526-575
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