{"product_id":"turbulent-multiphase-flows-with-heat-and-mass-transfer-hardback-9781848216174","title":"Turbulent Multiphase Flows with Heat and Mass Transfer (Hardback) 9781848216174","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eTurbulent Multiphase Flows with Heat and Mass Transfer\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cfont size=\"4\"\u003eRoland Borghi (Author), Fabien Anselmet (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781848216174, Wiley\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 29 November 2013\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e468 pages\u003cbr\u003e24.1 x 16 x 3.2 cm, 0.848 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003e\u003cp\u003eNumerous industrial systems or natural environments involve multiphase flows with heat and mass transfer. The authors of this book present the physical modeling of these flows, in a unified way, which can include various physical aspects and several levels of complexity.\u003c\/p\u003e \u003cp\u003eThermal engineering and nuclear reactors; the extraction and transport of petroleum products; diesel and rocket engines; chemical engineering reactors and fluidized beds; smoke or aerosol dispersion; landslides and avalanches − the modeling of multiphase flows with heat and mass transfer for all these situations can be developed following a common methodology. This book is devoted to the description of the mathematical bases of how to incorporate adequate physical ingredients in agreement with known experimental facts and how to make the model evolve according to the required complexity.\u003c\/p\u003e\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e\u003cp\u003eAcknowledgments xi\u003c\/p\u003e \u003cp\u003eIntroduction xiii\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart 1. Approach and General Equations \u003c\/b\u003e\u003cb\u003e1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 1. Towards a Unified Description of Multiphase Flows \u003c\/b\u003e\u003cb\u003e3\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1. Continuous approach and kinetic approach 3\u003c\/p\u003e \u003cp\u003e1.2. Eulerian–Lagrangian and Eulerian formulations 7\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 2. Instant Equations for a Piecewise Continuous Medium \u003c\/b\u003e\u003cb\u003e9\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1. Integral and differential forms of balance equations 10\u003c\/p\u003e \u003cp\u003e2.2. Phase mass balance equations in a piecewise continuous medium 13\u003c\/p\u003e \u003cp\u003e2.3. Momentum balances 17\u003c\/p\u003e \u003cp\u003e2.4. Energy balances 21\u003c\/p\u003e \u003cp\u003e2.5. Position and interface area balance equations 23\u003c\/p\u003e \u003cp\u003e2.6. Extension for a fluid phase that is a mixture 25\u003c\/p\u003e \u003cp\u003e2.7. Completing the description of the medium 27\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 3. Description of a “Mean Multiphase Medium” \u003c\/b\u003e\u003cb\u003e29\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1. The need for a mean description 29\u003c\/p\u003e \u003cp\u003e3.2. How are mean values defined? 31\u003c\/p\u003e \u003cp\u003e3.2.1. Temporal average 31\u003c\/p\u003e \u003cp\u003e3.2.2. Volumetric average 32\u003c\/p\u003e \u003cp\u003e3.2.3. Statistical average 34\u003c\/p\u003e \u003cp\u003e3.2.4. Filtered average 35\u003c\/p\u003e \u003cp\u003e3.3. Which average to choose, according to their advantages and disadvantages? 37\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 4. Equations for the Mean Continuous Medium \u003c\/b\u003e\u003cb\u003e39\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1. Global balance equations for the mean medium 39\u003c\/p\u003e \u003cp\u003e4.1.1. Total mass 39\u003c\/p\u003e \u003cp\u003e4.1.2. Total momentum 40\u003c\/p\u003e \u003cp\u003e4.1.3. Total energy 41\u003c\/p\u003e \u003cp\u003e4.2. Balance equations for the phases of a mean medium 42\u003c\/p\u003e \u003cp\u003e4.2.1. Phase mass 43\u003c\/p\u003e \u003cp\u003e4.2.2. Phase momentum 44\u003c\/p\u003e \u003cp\u003e4.2.3. Energies of each phase 47\u003c\/p\u003e \u003cp\u003e4.2.4. Phase volume 49\u003c\/p\u003e \u003cp\u003e4.3. Complete representation of the mean medium 49\u003c\/p\u003e \u003cp\u003e4.3.1. Global representation 50\u003c\/p\u003e \u003cp\u003e4.3.2. Multifluid representation 51\u003c\/p\u003e \u003cp\u003e4.4. Mean equations of state 55\u003c\/p\u003e \u003cp\u003e4.5. Extensions 58\u003c\/p\u003e \u003cp\u003e4.5.1. Extension when a fluid phase is a mixture 58\u003c\/p\u003e \u003cp\u003e4.5.2. Extension for dispersed media 59\u003c\/p\u003e \u003cp\u003e4.6. Boundary conditions 61\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart 2. Modeling: A Single Approach Adaptable To Multiple Applications\u003c\/b\u003e\u003cb\u003e 67\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 5. The Modeling of Interphase Exchanges \u003c\/b\u003e\u003cb\u003e69\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1. General methodology 69\u003c\/p\u003e \u003cp\u003e5.2. Interface between phases and its mean area per unit of volume 71\u003c\/p\u003e \u003cp\u003e5.2.1. Case of a suspension of liquid or solid particles 71\u003c\/p\u003e \u003cp\u003e5.2.2. Case of a medium containing parcels of variable shapes and sizes 72\u003c\/p\u003e \u003cp\u003e5.2.3. Case of a suspension of particles of constant and known sizes 74\u003c\/p\u003e \u003cp\u003e5.3. Forces of contact and friction between phases 75\u003c\/p\u003e \u003cp\u003e5.3.1. Pressure forces on spherical particles in a non-viscous flow 76\u003c\/p\u003e \u003cp\u003e5.3.2. Friction on solid particles in steady flow 80\u003c\/p\u003e \u003cp\u003e5.3.3. Slightly curved liquid–gas interfaces 87\u003c\/p\u003e \u003cp\u003e5.3.4. Drops or bubbles 93\u003c\/p\u003e \u003cp\u003e5.4. Heat transfers at the surface of a particle, without mass exchange 96\u003c\/p\u003e \u003cp\u003e5.5. Heat and mass transfers during boiling 99\u003c\/p\u003e \u003cp\u003e5.5.1. Slightly curved liquid–gas interfaces 99\u003c\/p\u003e \u003cp\u003e5.5.2. Bubbles 105\u003c\/p\u003e \u003cp\u003e5.6. Mass and heat exchanges by vaporization 107\u003c\/p\u003e \u003cp\u003e5.6.1. Mass transfer by evaporation at a flat interface 107\u003c\/p\u003e \u003cp\u003e5.6.2. Evaporation of a drop 113\u003c\/p\u003e \u003cp\u003e5.6.3. Combustion of a drop 117\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 6. Modeling Turbulent Dispersion Fluxes \u003c\/b\u003e\u003cb\u003e119\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1. Global modeling 119\u003c\/p\u003e \u003cp\u003e6.1.1. General information 119\u003c\/p\u003e \u003cp\u003e6.1.2. Kinetic energy of the “global fluctuations” 123\u003c\/p\u003e \u003cp\u003e6.1.3. Modeling the kinetic energy of the fluctuations 128\u003c\/p\u003e \u003cp\u003e6.1.4. Length scales for fluctuations and time scale for the dissipation of kinetic energy of fluctuations 132\u003c\/p\u003e \u003cp\u003e6.1.5. Further studies on the dispersion flux of a phase 137\u003c\/p\u003e \u003cp\u003e6.2. “Multifluid” modeling 147\u003c\/p\u003e \u003cp\u003e6.2.1. The kinetic energy of the fluctuations in each phase 149\u003c\/p\u003e \u003cp\u003e6.2.2. Modeling the balance equations of the kinetic energies of turbulence 152\u003c\/p\u003e \u003cp\u003e6.2.3. The modeling of time or spatial scales 158\u003c\/p\u003e \u003cp\u003e6.2.4. Modeling of the Reynolds tensor for every phase 162\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 7. Modeling the Mean Gas–Liquid Interface Area per Unit Volume \u003c\/b\u003e\u003cb\u003e165\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1. Introduction 165\u003c\/p\u003e \u003cp\u003e7.2. Initial equation for the mean interface area per unit volume 166\u003c\/p\u003e \u003cp\u003e7.3. Model of the mean interface area during the “atomization” of a liquid jet 168\u003c\/p\u003e \u003cp\u003e7.4. Effects of vaporization on the interface area 172\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 8. “Large Eddy Simulation” Style Models \u003c\/b\u003e\u003cb\u003e175\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1. Introduction 175\u003c\/p\u003e \u003cp\u003e8.2. Filtered equations and the nature of the models to be provided 177\u003c\/p\u003e \u003cp\u003e8.3. Classic LES modeling for SGS additional fluxes 181\u003c\/p\u003e \u003cp\u003e8.3.1. Reminder of LES in single-phase, constant density turbulent flows 181\u003c\/p\u003e \u003cp\u003e8.3.2. Toward an extension for multiphase flows 183\u003c\/p\u003e \u003cp\u003e8.4. Subgrid modeling of the interface area per unit volume 185\u003c\/p\u003e \u003cp\u003e8.5. Partially Integrated Turbulence Modeling 188\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 9. Contribution of Thermodynamics of Irreversible Processes \u003c\/b\u003e\u003cb\u003e191\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1. Global two-phase medium models 192\u003c\/p\u003e \u003cp\u003e9.1.1. Entropy of a mean two-phase medium using the Prandtl model 194\u003c\/p\u003e \u003cp\u003e9.1.2. Entropy for the k–ε model, in a medium with a variable density 200\u003c\/p\u003e \u003cp\u003e9.2. Contribution of thermodynamics to multifluid models 206\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 10. Experimental Methods \u003c\/b\u003e\u003cb\u003e213\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e10.1. Introduction 213\u003c\/p\u003e \u003cp\u003e10.2. Intrusive methods 214\u003c\/p\u003e \u003cp\u003e10.2.1. Pitot tubes 215\u003c\/p\u003e \u003cp\u003e10.2.2. Hot films 216\u003c\/p\u003e \u003cp\u003e10.2.3. Optical needle probes (single probes, bi-probes and quadri-probes) 219\u003c\/p\u003e \u003cp\u003e10.2.4. Wire networks 223\u003c\/p\u003e \u003cp\u003e10.3. Non-intrusive methods 224\u003c\/p\u003e \u003cp\u003e10.3.1. Particle image velocimetry (PIV) 225\u003c\/p\u003e \u003cp\u003e10.3.2. Droplet tracking velocimetry 230\u003c\/p\u003e \u003cp\u003e10.3.3. Laser Doppler anemometry (LDA) 234\u003c\/p\u003e \u003cp\u003e10.3.4. Phase Doppler anemometry (PDA) 237\u003c\/p\u003e \u003cp\u003e10.3.5. Ultrasonic Doppler Anemometry 241\u003c\/p\u003e \u003cp\u003e10.3.6. Densimetry by attenuation of gamma, X-ray or neutron radiation 243\u003c\/p\u003e \u003cp\u003e10.4. Advanced optical methods 245\u003c\/p\u003e \u003cp\u003e10.4.1. Laser induced fluorescence 245\u003c\/p\u003e \u003cp\u003e10.4.2. Interferometric methods (digital inline holography, Fourier interferometric imaging, ILIDS\/IPI, rainbow) 252\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 11. Some Experimental Results Pertaining to Multiphase Flow Properties that Are Still Little Understood \u003c\/b\u003e\u003cb\u003e265\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e11.1. Atomization\/fragmentation of liquid jets 265\u003c\/p\u003e \u003cp\u003e11.2. Isolated bubbles, bubbles in swarm and their effects on carrier fluid 274\u003c\/p\u003e \u003cp\u003e11.3. Boiling crisis 285\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart 3. From Fluidized Beds To Granular Media\u003c\/b\u003e\u003cb\u003e 297\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 12. Fluidized Beds \u003c\/b\u003e\u003cb\u003e299\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e12.1. Introduction 299\u003c\/p\u003e \u003cp\u003e12.1.1. Classification of different fluidization regimes 299\u003c\/p\u003e \u003cp\u003e12.1.2. Minimum fluidization and bubbling velocities 304\u003c\/p\u003e \u003cp\u003e12.2. Complete models for the dynamics of fluidized beds 306\u003c\/p\u003e \u003cp\u003e12.2.1. Bubbling fluidization regime 307\u003c\/p\u003e \u003cp\u003e12.2.2. Turbulent fluidization regime 315\u003c\/p\u003e \u003cp\u003e12.3. Global models for chemical conversion in fluidized beds 321\u003c\/p\u003e \u003cp\u003e12.3.1. Bubbling regime fluidizations 321\u003c\/p\u003e \u003cp\u003e12.3.2. Fast fluidization regime 324\u003c\/p\u003e \u003cp\u003e12.3.3. Turbulent fluidization regime 325\u003c\/p\u003e \u003cp\u003e12.4. Global models for heat transfers in fluidized beds 328\u003c\/p\u003e \u003cp\u003e12.4.1. Bubbling fluidization regime 328\u003c\/p\u003e \u003cp\u003e12.4.2. Fast fluidization regimes – circulating beds 331\u003c\/p\u003e \u003cp\u003e12.5. Conclusion 334\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 13. Generalizations for Granular Media \u003c\/b\u003e\u003cb\u003e335\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e13.1. Introduction 335\u003c\/p\u003e \u003cp\u003e13.2. Balance equations for mean granular media 336\u003c\/p\u003e \u003cp\u003e13.3. Necessary closure approximations 342\u003c\/p\u003e \u003cp\u003e13.4. Some already proposed methods 345\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 14. Modeling of Cauchy Tensor of Sliding Contacts \u003c\/b\u003e\u003cb\u003e349\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e14.1. Hypotheses and basic equations 349\u003c\/p\u003e \u003cp\u003e14.2. Unclosed balance equation for Cauchy tensor of sliding contact 351\u003c\/p\u003e \u003cp\u003e14.3. Closure approximations for irreversible terms 358\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 15. Modeling the Kinetic Cauchy Stress Tensor \u003c\/b\u003e\u003cb\u003e363\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e15.1. Prandtl–Bagnold modeling 364\u003c\/p\u003e \u003cp\u003e15.2. K-l\u003csub\u003et\u003c\/sub\u003e or “turbulent granular gas” modeling 366\u003c\/p\u003e \u003cp\u003e15.3. Toward a general model for all regimes 371\u003c\/p\u003e \u003cp\u003e15.4. Boundary conditions at walls 373\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart 4. Studying Fluctuations and Probability Densities \u003c\/b\u003e\u003cb\u003e377\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 16. Fluctuations of the Gas Phase in Reactive Two-Phase Media \u003c\/b\u003e\u003cb\u003e379\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e16.1. Specificities of reactive two-phase media 379\u003c\/p\u003e \u003cp\u003e16.2. Probability density of composition fluctuations of the gas phase 380\u003c\/p\u003e \u003cp\u003e16.2.1. Instant basic equations of the gas medium 382\u003c\/p\u003e \u003cp\u003e16.2.2. PDF equation 385\u003c\/p\u003e \u003cp\u003e16.3. Modeling the terms due to exchanges between phases 390\u003c\/p\u003e \u003cp\u003e16.3.1. Total mass exchange 390\u003c\/p\u003e \u003cp\u003e16.3.2. Mass exchange for species 392\u003c\/p\u003e \u003cp\u003e16.3.3. Heat exchange 393\u003c\/p\u003e \u003cp\u003e16.4. Modeling micromixing and turbulent dispersion 395\u003c\/p\u003e \u003cp\u003e16.4.1. The “micromixing” term in PDF equations 395\u003c\/p\u003e \u003cp\u003e16.4.2. Turbulent diffusion terms in PDF equations 396\u003c\/p\u003e \u003cp\u003e16.5. Practical use of PDF equations 397\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 17. Temperature Fluctuations in Condensed Phases \u003c\/b\u003e\u003cb\u003e399\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e17.1. Problems 399\u003c\/p\u003e \u003cp\u003e17.2. Instantaneous equation for the temperature of the liquid phase 401\u003c\/p\u003e \u003cp\u003e17.3. Equation for the PDF of the temperature of the liquid 403\u003c\/p\u003e \u003cp\u003e17.4. Closure of the equation of the temperature PDF 405\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 18. Study of the PDF for Velocity Fluctuations and Sizes of Parcels \u003c\/b\u003e\u003cb\u003e409\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e18.1. Phase velocity PDF equation 410\u003c\/p\u003e \u003cp\u003e18.2. Modeling the exchanges between phases and the internal interactions 415\u003c\/p\u003e \u003cp\u003e18.2.1. Terms of exchanges between phases 415\u003c\/p\u003e \u003cp\u003e18.2.2. Internal dissipation and production of fluctuations 418\u003c\/p\u003e \u003cp\u003e18.3. Practical calculation of PDF 419\u003c\/p\u003e \u003cp\u003e18.4. The study of the sizes of the dispersed phase parcels 420\u003c\/p\u003e \u003cp\u003e18.5. Eulerian–Lagrangian simulation of dispersed media 423\u003c\/p\u003e \u003cp\u003e18.5.1. Lagrangian equations of the parcels 423\u003c\/p\u003e \u003cp\u003e18.5.2. Stochastic simulations 426\u003c\/p\u003e \u003cp\u003eBibliography 431\u003c\/p\u003e \u003cp\u003eIndex 443\u003c\/p\u003e\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Mechanical engineering \u0026amp; materials [\u003ca title=\"See our other books on Mechanical engineering \u0026amp; materials\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mechanical%20engineering%20\u0026amp;%20materials%20%5BTG%5D%22\"\u003eTG\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Wiley-ISTE","offers":[{"title":"Brand New","offer_id":52449386299672,"sku":"9781848216174","price":123.19,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/files\/9781848216174.jpg?v=1785197640","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/turbulent-multiphase-flows-with-heat-and-mass-transfer-hardback-9781848216174","provider":"Freshly Printed Books","version":"1.0","type":"link"}