Introduction to Mathematical Fluid Dynamics - Brossura

Meyer, Richard E.

Brossura

ISBN 10: 0486615545 ISBN 13: 9780486615547

Casa editrice: Dover Pubns, 2003

Riassunto

Fluid dynamics, the behavior of liquids and gases, is a field of broad impact — in physics, engineering, oceanography, and meteorology for example — yet full understanding demands fluency in higher mathematics, the only language fluid dynamics speaks. Dr. Richard Meyer's work is indeed introductory, while written for advanced undergraduate and graduate students in applied mathematics, engineering, and the physical sciences. A knowledge of calculus and vector analysis is presupposed.
The author develops basic concepts from a semi-axiomatic foundation, noting that "for mathematics students such a treatment helps to dispel the all too common impression that the whole subject is built on a quicksand of assorted intuitions." Contents include:
Kinematics: Lagrangian and Eulerian descriptions, Circulation and Vorticity.
Momentum Principle and Ideal Fluid: Conservation examples, Euler equations, D'Alembert's and Kelvin's theorems.
Newtonian Fluid: Constitutive and Kinetic theories, exact solutions.
Fluids of Small Viscosity: Singular Perturbation, Boundary Layers.
Some Aspects of Rotating Fluids: Rossby number, Ekman layer, Taylor-Proudman Blocking.
Some Effects of Compressibility: Thermodynamics, Waves, Shock relations and structure, Navier-Stokes equations.
Dr. Meyer writes, "This core of our knowledge concerns the relation between inviscid and viscous fluids, and the bulk of this book is devoted to a discussion of that relation."

Su questo libro

Contenuti:

Preface Acknowlegments 1 Kinematics 1 Introduction 2 Lagrangian description 3 Eulerian description 4 Conservation of mass 5 Circulation 6 Some potential flows 7 Vorticity 8 Line vortex 9 Vortex sheet 2 Momentum Principle and Ideal Fluid 10 Conservation of linear momentum 11 Mixing and lift 12 Equations of motion 13 D'Alembert's theorem 14 Kelvin's theorem 15 Conservation of angular momentum 3 Newtonian Fluid 16 The Couette experiment 17 Constitutive equation 18 Kinetic theory 19 Some viscous fluid motions 4 Fluids of Small Viscosity 20 Reynolds number 21 A singular perturbation example 22 Limit equations for the flat plate 23 Discussion of Blasius' solution 24 Limit equations with pressure gradient and wall curvature 25 Similarity solutions 26 Momentum integral 27 Separation 28 Wake 5 Some Aspects of Rotating Fluids 29 Bjerknes' theorem 30 Rossby number 31 Ekman layer 32 Taylor-Proudman theorem 6 Some Effects of Compressibility 33 Thermodynamic state 34 Flow initiation 35 Conservation of energy 36 Shock relations 37 Shock structure 38 Navier-Stokes equations Bibliography Index

Product Description:

An introduction to the behavior of liquids and gases, this volume provides excellent coverage of kinematics, momentum principle, Newtonian fluid, rotating fluids, compressibility, and more. It is geared toward advanced undergraduate and graduate students of mathematics and general science, and it requires a background in calculus and vector analysis. 1971 edition.

Su questa edizione

• Editore: Dover Pubns
• Data di pubblicazione: 2003
• ISBN 10: 0486615545
• ISBN 13: 9780486615547
• Rilegatura: Copertina flessibile
• Numero di pagine: 185