LEADER 04842nam 22006852 450 001 9910781711103321 005 20151005020622.0 010 $a1-107-22138-2 010 $a1-139-23508-7 010 $a1-283-29858-9 010 $a9786613298584 010 $a1-139-12335-1 010 $a0-511-79435-5 010 $a1-139-11760-2 010 $a1-139-11107-8 010 $a1-139-12826-4 010 $a1-139-11324-0 010 $a1-139-11543-X 035 $a(CKB)2550000000055578 035 $a(EBL)775069 035 $a(OCoLC)769341787 035 $a(SSID)ssj0000536742 035 $a(PQKBManifestationID)11322858 035 $a(PQKBTitleCode)TC0000536742 035 $a(PQKBWorkID)10549760 035 $a(PQKB)10798226 035 $a(UkCbUP)CR9780511794353 035 $a(MiAaPQ)EBC775069 035 $a(Au-PeEL)EBL775069 035 $a(CaPaEBR)ebr10502755 035 $a(CaONFJC)MIL329858 035 $a(PPN)261337998 035 $a(EXLCZ)992550000000055578 100 $a20100705d2011|||| uy| 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aFluid mechanics $ea short course for physicists /$fGregory Falkovich$b[electronic resource] 210 1$aCambridge :$cCambridge University Press,$d2011. 215 $a1 online resource (xii, 167 pages) $cdigital, PDF file(s) 300 $aTitle from publisher's bibliographic system (viewed on 05 Oct 2015). 311 $a1-107-00575-2 320 $aIncludes bibliographical references (p. 159-165) and index. 327 $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 327 $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 327 $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 Schro?dinger 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 327 $a4 Solutions to exercises Chapter 1; Chapter 2; Chapter 3; Epilogue; Notes; References; Index 330 $aThe 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. 606 $aFluid mechanics 615 0$aFluid mechanics. 676 $a532 700 $aFalkovich$b G$g(Grigory),$f1958-$0739594 801 0$bUkCbUP 801 1$bUkCbUP 906 $aBOOK 912 $a9910781711103321 996 $aFluid mechanics$93707000 997 $aUNINA