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049 $aZCUA
100 1 $aFalkovich, G.$q(Grigory),$d1958-
245 10 $aFluid mechanics :$ba short course for physicists /$cGregory Falkovich.
260 $aCambridge ;$aNew York :$bCambridge University Press,$c2011.
300 $a1 online resource (xii, 167 pages) :$billustrations
336 $atext$btxt$2rdacontent
337 $acomputer$bc$2rdamedia
338 $aonline resource$bcr$2rdacarrier
347 $adata file
520 $a"The multidisciplinary field of fluid mechanics is one of the most actively developing fields of physics, mathematics and engineering. In this book, the fundamental ideas of fluid mechanics are presented from a physics perspective. Using examples taken from everyday life, from hydraulic jumps in a kitchen sink to Kelvin-Helmholtz instabilities in clouds, the book provides readers with a better understanding of the world around them. It teaches the art of fluid-mechanical estimates and shows how the ideas and methods developed to study the mechanics of fluids are used to analyze other systems with many degrees of freedom in statistical physics and field theory. Aimed at undergraduate and graduate students, the book assumes no prior knowledge of the subject and only a basic understanding of vector calculus and analysis. It contains 32 exercises of varying difficulties, from simple estimates to elaborate calculations, with detailed solutions to help readers understand fluid mechanics"--$cProvided by publisher
504 $aIncludes bibliographical references (pages 159-165) and index.
500 $aMachine generated contents note: 1. Basic equations and steady flows; 2. Unsteady flows; 3. Dispersive waves; 4. Epilogue; 5. Solutions; References; Index.
588 0 $aPrint version record.
505 0 $aCover; 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.
505 8 $a1.4.1 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.
505 8 $a2.3.5 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.
505 8 $a4 Solutions to exercisesChapter 1; Chapter 2; Chapter 3; Epilogue; Notes; Referenes; Index.
546 $aEnglish.
650 0 $aFluid mechanics.
650 6 $aMécanique des fluides.
650 7 $aTECHNOLOGY & ENGINEERING$xHydraulics.$2bisacsh
650 7 $aFluid mechanics.$2fast$0(OCoLC)fst00927999
650 7 $aStrömungsmechanik$2gnd
655 4 $aElectronic books.
776 08 $iPrint version:$aFalkovich, Gregory.$tFluid mechanics.$dCambridge ; New York : Cambridge University Press, 2011$z9781107005754$w(DLC) 2011005941$w(OCoLC)701021294
856 40 $uhttp://www.columbia.edu/cgi-bin/cul/resolve?clio12200952.001$zACADEMIC - Mechanics & Mechanical Engineering
856 40 $uhttp://www.columbia.edu/cgi-bin/cul/resolve?clio12200952.002$zACADEMIC - General Engineering & Project Administration
852 8 $blweb$hEBOOKS