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" Discrete mechanics / "
Jean-Paul Caltagirone
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BL
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| Record Number
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647948
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dltt
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| Main Entry
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Caltagirone, Jean-Paul
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| Title & Author
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Discrete mechanics /\ Jean-Paul Caltagirone
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| Series Statement
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Fluid mechanics series
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| Page. NO
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1 online resource
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| ISBN
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9781119057987
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: 1119057981
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: 9781119058588
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: 1119058589
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9781848216785
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: 9781119058076
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: 1119058074
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: 1848216785
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: 9781848216785
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| Bibliographies/Indexes
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Includes bibliographical references and index
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| Contents
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Framework of Discrete Mechanics -- Frames of reference and uniform motions -- Concept of a Discrete Medium -- Vectors and components -- Physical meaning of the differential operators -- Use of the theorems of differential geometry -- Two essential properties -- Tensorial values -- The scalar and vectorial potentials -- The physical characteristics -- Equilibrium stress state -- Two examples of mechanical equilibrium -- Thermodynamic non-equilibrium -- Forces and fluxes -- Conservation of mass -- Momentum Conservation -- Classification of forces -- Three fundamental experiments -- Equilibrium in a glass of water -- Couette flow -- Poiseuille flow -- Postulates -- Modeling of the pressure forces -- Modeling of the viscous forces -- Modeling of the viscous effects of volume -- Modeling of the viscous surface effects -- Stress state -- Objectivity -- Discrete motion balance equation -- Fundamental law of dynamics -- Eulerian step -- Mechanical equilibrium -- Formulation in terms of density and temperature -- Similitude parameters -- Impact on the surface of a liquid -- Hypercompressible media -- Conservation of Heat Flux and Energy -- Introduction -- Conservation of flux -- Conservation of energy -- Conservation of total energy -- Conservation of kinetic energy -- Conservation of the internal energy -- Discrete equations for the flux and the energy -- A simple heat-conduction problem -- Case of anisotropic materials -- Properties of Discrete Equations -- A system of equations and potentials -- Physics represented -- Poiseuille flow and potentials -- Celerity and maximum velocity -- Remarks about turbulence -- Boundary conditions -- Contact surface -- Shockwaves -- Edge conditions -- Slip condition -- Capillary effects -- Thermal boundary conditions -- Penalization of the potentials -- Continua and discrete mediums -- Differences with the Navier-Stokes equation -- Dissipation -- Case of rigidifying motions -- An example of the dissipation of energy -- Hodge-Helmholtz decomposition -- Approximations -- Bernoulli's law -- Irrotational flow -- Inviscid fluid -- Incompressible flow -- Gravitational waves -- Linear visco-elasticity -- Viscous dissipation in a visco-elastic medium -- Dissipation of longitudinal waves in a visco-elastic medium -- Consistency with Continuum Mechanics -- Pure compression -- Pure shear stress -- Bingham fluid -- Multiphysics -- Extensions to other branches of physics -- Coupling between a fluid and a porous medium -- Flow around a cylinder in an infinite medium -- Darcian model -- Stokes model -- Model of an ideal fluid -- Brinkman model -- Fluid statics -- Perfect gas in isothermal evolution -- Perfect gas in adiabatic evolution -- Injection of a gas into a cavity -- Isothermal injection -- Adiabatic injection -- Nonlinear wave propagation -- Sod shock tube -- Thermo-acoustics -- Heating of a cavity filled with air -- Natural convection in an enclosed cavity -- Multi-component transport -- Modeling of phase change -- Critical opalescence -- Conclusions regarding the multiphysics approach
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| Subject
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Mechanics, Analytic.
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| Subject
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Nonlinear mechanics.
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| Dewey Classification
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531.0151
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| LC Classification
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QA808
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| Added Entry
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Ohio Library and Information Network.
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