Fluid mechanics : a short course for physicists

"The multidisciplinary field of fluid mechanics is one of the most actively developing fields of physics, mathematics and engineering. In this book, the fundamental ideas of fluid mechanics are presented from a physics perspective. Using examples taken from everyday life, from hydraulic jumps i...

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Bibliographic Details
Main Author Falkovich, G. 1958-
Format Electronic eBook
LanguageEnglish
Published Cambridge ; New York : Cambridge University Press, 2011.
Subjects
Fluid mechanics.
elektronické knihy
electronic books
Online AccessFull text
ISBN9781139128261
1139128264
9781139111072
1139111078
9781139115438
113911543X
9780511794353
0511794355
9781139117609
1139117602
1283298589
9781283298582
1107221382
9781107221383
1139235087
9781139235082
9786613298584
6613298581
1139123351
9781139123358
1139113240
9781139113243
9781107005754
1107005752
Physical Description1 online resource (xii, 167 pages) : illustrations

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Table of Contents:
  • Cover; Title; Copyright; Contents; Preface; Prologue; 1 Basic equations and steady flows; 1.1 Definitions and basic equations; 1.1.1 Definitions; 1.1.2 Equations of motion for an ideal fluid; 1.1.3 Hydrostatics; 1.1.4 Isentropic motion; 1.2 Conservation laws and potential flows; 1.2.1 Kinematics; 1.2.2 Kelvin's theorem; 1.2.3 Energy and momentum fluxes; 1.2.4 Irrotational and incompressible flows; 1.3 Flow past a body; 1.3.1 Incompressible potential flow past a body; 1.3.2 Moving sphere; 1.3.3 Moving body of an arbitrary shape; 1.3.4 Quasi-momentum and induced mass; 1.4 Viscosity.
  • 1.4.1 Reversibility paradox1.4.2 Viscous stress tensor; 1.4.3 Navier
  • Stokes equation; 1.4.4 Law of similarity; 1.5 Stokes flow and the wake; 1.5.1 Slow motion; 1.5.2 The boundary layer and the separation phenomenon; 1.5.3 Flow transformations; 1.5.4 Drag and lift with a wake; Exercises; 2 Unsteady flows; 2.1 Instabilities; 2.1.1 Kelvin
  • Helmholtz instability; 2.1.2 Energetic estimate of the stability threshold; 2.1.3 Landau's law; 2.2 Turbulence; 2.2.1 Cascade; 2.2.2 Turbulent river and wake; 2.3 Acoustics; 2.3.1 Sound; 2.3.2 Riemann wave; 2.3.3 Burgers equation; 2.3.4 Acoustic turbulence.
  • 2.3.5 Mach numberExercises; 3 Dispersive waves; 3.1 Linear waves; 3.1.1 Surface gravity waves; 3.1.2 Viscous dissipation; 3.1.3 Capillary waves; 3.1.4 Phase and group velocity; 3.2 Weakly non-linear waves; 3.2.1 Hamiltonian description; 3.2.2 Hamiltonian normal forms; 3.2.3 Wave instabilities; 3.3 Non-linear Schrödinger equation (NSE); 3.3.1 Derivation of NSE; 3.3.2 Modulational instability; 3.3.3 Soliton, collapse and turbulence; 3.4 Korteveg
  • de-Vries (KdV) equation; 3.4.1 Waves in shallow water; 3.4.2 The KdV equation and the soliton; 3.4.3 Inverse scattering transform; Exercises.
  • 4 Solutions to exercisesChapter 1; Chapter 2; Chapter 3; Epilogue; Notes; Referenes; Index.

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