TY - BOOK AU - Kundu, Pijush K. AU - Cohen, Ira M. AU - Dowling, David R. TI - Fluid mechanics SN - 9780124059351 AV - TA 357 .K86 2016 PY - 2016/// CY - Amsterdam ; Boston PB - Elsevier/AP KW - FLUID MECHANICS N1 - Includes index; 1. Introduction -- Fluid mechanics -- Units of measurement -- Solids, liquids, and gases -- Continuum hypothesis -- Molecular transport phenomena -- Surface tension -- Fluid statics -- Classical thermodynamics -- Perfect gas -- Stability of stratified fluid media -- Dimensional analysis -- 2. Cartesian tensors -- Scalars, vectors, tensors, notation -- Rotation of axes : formal definition of a vector -- Multiplication of matrices -- Second-order tensors -- Contraction and multiplication -- Force on a surface -- Kronecker Delta and alternating tensor -- Vector dot and cross products -- Gradient, divergence, and curl -- Symmetric and antisymmetric tensors -- Eigenvalues and Eigenvectors of a symmetric tensor -- Gauss' Theorem -- Stokes' Theorem -- 3. Kinematics -- Introduction and coordinate systems -- Particle and field descriptions of fluid motion -- Flow lines, fluid acceleration, and Galilean transformation -- Strain and rotation rates -- Kinematics of simple plane flows -- Reynolds Transport Theorem -- 4. Conservation laws -- Introduction -- Conservation of mass -- Stream functions -- Conservation of momentum -- constitutive equation for a Newtonian fluid -- Navier-Stokes momentum equation -- Noninertial frame of reference -- Conservation of energy -- Special forms of the equation -- Boundary conditions -- Dimensionless forms of the equations and dynamic similarity -- 5. Vorticity dynamics -- Kelvin's and Helmholtz's Theorems -- Vorticity equation in an inertial frame of reference -- Velocity induced by a vortex filament : Law of Biot and Savart -- Vorticity equation in a rotating frame of reference -- Interaction of vortices -- Vortex sheet -- 6. Computational fluid dynamics -- The Advection-Diffusion equation -- Incompressible flows in rectangular domains -- Flow in complex domains -- Velocity-pressure method for compressible flow -- 7. Ideal flow -- Relevance of Irrotational Constant-Density Flow Theory -- Two-dimensional stream function and velocity potential -- Construction of elementary flows in two dimensions -- Complex potential -- Forces on a two-dimensional body -- Conformal mapping -- Axissymmetric ideal flow -- Three-dimensional potential flow and apparent mass -- 8. Gravity waves -- Linear liquid-surface gravity waves -- Influence of surface tension -- Standing waves -- Group velocity, energy flux, and dispersion -- Nonlinear waves in shallow and deep water -- Waves on a density interface -- Internal waves in a continuously stratified fluid -- 9. Laminar flow -- Exact solutions for steady incompressible viscous flow -- Elementary Lubrication Theory -- Similarity solutions for unsteady incompressible viscous flow -- Flows with oscillations -- Low Reynolds Number viscous flow past a sphere -- 10. Boundary layers and related topics -- Boundary-layer thickness definitions -- Boundary layer on a flat plate : Blasius Solution -- Falkner-Skan similarity solutions of the laminar boundary-layer equations -- Von Karman Momentum Integral Equation -- Thwaites' Method -- Transition, pressure gradients, and boundary-layer separation -- Flow past a circular cylinder -- Flow past a sphere and the dynamics of sports balls -- Two-dimensional jets -- Secondary flows -- 11. Method of normal modes -- Kelvin-Helmholtz instability -- Thermal instability : the Bénard problem -- Double-diffusive instability -- Centrifugal instability : Taylor problem -- Instability of continuously stratified parallel flows -- Squire's theorem and the Orr-Sommerfeld equation -- Inviscid stability of parallel flows -- Experimental verification of boundary-layer instability -- Comments on nonlinear effects -- Transition -- Deterministic chaos -- 12. Turbulence- - Nomenclature and statistics for turbulent flow -- Correlations and spectra -- Averaged equations of motion -- Homogeneous isotropic turbulence -- Turbulent energy cascade and spectrum -- Free turbulent shear flows - Wall-bounded turbulent shear flows -- Turbulence modeling -- Taylor's Theory of Turbulent Dispersion -- 13. Geophysical fluid dynamics -- Vertical variation of density in the atmosphere and ocean -- Equations of motion for geophysical flows -- Geostrophic flow -- Ekman layers -- Shallow-water equations -- Normal modes in a continuously stratified layer -- High- and low-frequency regimes in shallow-water equations -- Gravity waves with rotation -- Kelvin wave -- Potential vorticity conservation in Shallow-Water Theory -- INternal waves -- Rossby wave -- Barotropic instability -- Baroclinic instability -- Geostrophic turbulence --14. Aerodynamics -- Aircraft terminology -- Characteristics of airfoil sections -- Conformal transformation for generating airfoil shapes -- Life of Zhukhovsky Airfoil -- Elementary lifting line theory for wings of finite span -- Life and drag characteristics of airfoils -- Propulsive mechanisms of fish and birds -- Sailing against the wind -- 15. Compressible flow -- Acoustics -- One-dimensional steady isentropic compressible flow in variable-area ducts -- Normal shock waves -- Operation of nozzles at different back pressures -- Effects of friction and heating in constant-area ducts -- ONe-dimensional unsteady compressible flow in constant-area ducts -- Two-dimensional steady compressible flow -- Thin-airfoil theory in supersonic flow -- 16. Introduction to biofluid mechanics (online chapter) / Portonovo S. Ayyaswamy -- The circulatory system in the human body -- Modeling of flow in blood vessels -- Introduction to the fluid mechanics of plants N2 - Fluid mechanics, understanding and applying the principles of how motions and forces act upon fluids such as gases and liquids, is introduced and comprehensively covered in this text ER -