{"product_id":"statistical-theory-and-modeling-for-turbulent-flows-hardback-9780470689318","title":"Statistical Theory and Modeling for Turbulent Flows (Hardback) 9780470689318","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eStatistical Theory and Modeling for Turbulent Flows\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\"\u003eP. A. Durbin (Author), B. A. Pettersson Reif (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780470689318, Wiley\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 8 October 2010\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e376 pages\u003cbr\u003e25.2 x 17.8 x 2.5 cm, 0.789 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\"\u003eProviding a comprehensive grounding in the subject of turbulence, \u003ci\u003eStatistical Theory and Modeling for Turbulent Flows\u003c\/i\u003e develops both the physical insight and the mathematical framework needed to understand turbulent flow. Its scope enables the reader to become a knowledgeable user of turbulence models; it develops analytical tools for developers of predictive tools. Thoroughly revised and updated, this second edition includes a new fourth section covering DNS (direct numerical simulation), LES (large eddy simulation), DES (detached eddy simulation) and numerical aspects of eddy resolving simulation. \u003cp\u003eIn addition to its role as a guide for students, \u003ci\u003eStatistical Theory and Modeling for Turbulent Flows\u003c\/i\u003e also is a valuable reference for practicing engineers and scientists in computational and experimental fluid dynamics, who would like to broaden their understanding of fundamental issues in turbulence and how they relate to turbulence model implementation.\u003c\/p\u003e \u003cul\u003e \u003cli\u003eProvides an excellent foundation to the fundamental theoretical concepts in turbulence.\u003c\/li\u003e \u003cli\u003eFeatures new and heavily revised material, including an entire new section on eddy resolving simulation.\u003c\/li\u003e \u003cli\u003eIncludes new material on modeling laminar to turbulent transition.\u003c\/li\u003e \u003cli\u003eWritten for students and practitioners in aeronautical and mechanical engineering, applied mathematics and the physical sciences.\u003c\/li\u003e \u003cli\u003eAccompanied by a website housing solutions to the problems within the book.\u003c\/li\u003e \u003c\/ul\u003e\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e\u003cb\u003ePreface.\u003c\/b\u003e  \u003cp\u003ePreface to second edition.\u003c\/p\u003e \u003cp\u003ePreface to first edition.\u003c\/p\u003e \u003cp\u003eMotivation.\u003c\/p\u003e \u003cp\u003eEpitome.\u003c\/p\u003e \u003cp\u003eAcknowledgements.\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart I FUNDAMENTALS OF TURBULENCE.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1 Introduction.\u003c\/p\u003e \u003cp\u003e1.1 The turbulence problem.\u003c\/p\u003e \u003cp\u003e1.2 Closure modeling.\u003c\/p\u003e \u003cp\u003e1.3 Categories of turbulent flow.\u003c\/p\u003e \u003cp\u003eExercises.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 Mathematical and statistical background.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Dimensional analysis.\u003c\/p\u003e \u003cp\u003e2.1.1 Scales of turbulence.\u003c\/p\u003e \u003cp\u003e2.2 Statistical tools.\u003c\/p\u003e \u003cp\u003e2.2.1 Averages and probability density functions.\u003c\/p\u003e \u003cp\u003e2.2.2 Correlations.\u003c\/p\u003e \u003cp\u003e2.3 Cartesian tensors.\u003c\/p\u003e \u003cp\u003e2.3.1 Isotropic tensors.\u003c\/p\u003e \u003cp\u003e2.3.2 Tensor functions of tensors; Cayley–Hamilton theorem.\u003c\/p\u003e \u003cp\u003eExercises.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 Reynolds averaged Navier–Stokes equations.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Background to the equations.\u003c\/p\u003e \u003cp\u003e3.2 Reynolds averaged equations.\u003c\/p\u003e \u003cp\u003e3.3 Terms of kinetic energy and Reynolds stress budgets.\u003c\/p\u003e \u003cp\u003e3.4 Passive contaminant transport.\u003c\/p\u003e \u003cp\u003eExercises.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 Parallel and self-similar shear flows.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Plane channel flow.\u003c\/p\u003e \u003cp\u003e4.1.1 Logarithmic layer.\u003c\/p\u003e \u003cp\u003e4.1.2 Roughness.\u003c\/p\u003e \u003cp\u003e4.2 Boundary layer.\u003c\/p\u003e \u003cp\u003e4.2.1 Entrainment.\u003c\/p\u003e \u003cp\u003e4.3 Free-shear layers.\u003c\/p\u003e \u003cp\u003e4.3.1 Spreading rates.\u003c\/p\u003e \u003cp\u003e4.3.2 Remarks on self-similar boundary layers.\u003c\/p\u003e \u003cp\u003e4.4 Heat and mass transfer.\u003c\/p\u003e \u003cp\u003e4.4.1 Parallel flow and boundary layers.\u003c\/p\u003e \u003cp\u003e4.4.2 Dispersion from elevated sources.\u003c\/p\u003e \u003cp\u003eExercises.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 Vorticity and vortical structures.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 Structures.\u003c\/p\u003e \u003cp\u003e5.1.1 Free-shear layers.\u003c\/p\u003e \u003cp\u003e5.1.2 Boundary layers.\u003c\/p\u003e \u003cp\u003e5.1.3 Non-random vortices.\u003c\/p\u003e \u003cp\u003e5.2 Vorticity and dissipation.\u003c\/p\u003e \u003cp\u003e5.2.1 Vortex stretching and relative dispersion.\u003c\/p\u003e \u003cp\u003e5.2.2 Mean-squared vorticity equation.\u003c\/p\u003e \u003cp\u003eExercises.\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart II SINGLE-POINT CLOSURE MODELING.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6 Models with scalar variables.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 Boundary-layer methods.\u003c\/p\u003e \u003cp\u003e6.1.1 Integral boundary-layer methods.\u003c\/p\u003e \u003cp\u003e6.1.2 Mixing length model.\u003c\/p\u003e \u003cp\u003e6.2 The \u003ci\u003ek\u003c\/i\u003e –\u003ci\u003eε\u003c\/i\u003e model.\u003c\/p\u003e \u003cp\u003e6.2.1 Analytical solutions to the \u003ci\u003ek\u003c\/i\u003e –\u003ci\u003eε\u003c\/i\u003e model.\u003c\/p\u003e \u003cp\u003e6.2.2 Boundary conditions and near-wall modifications.\u003c\/p\u003e \u003cp\u003e6.2.3 Weak solution at edges of free-shear flow; free-stream sensitivity.\u003c\/p\u003e \u003cp\u003e6.3 The \u003ci\u003ek\u003c\/i\u003e –\u003ci\u003eω\u003c\/i\u003e model.\u003c\/p\u003e \u003cp\u003e6.4 Stagnation-point anomaly.\u003c\/p\u003e \u003cp\u003e6.5 The question of transition.\u003c\/p\u003e \u003cp\u003e6.5.1 Reliance on the turbulence model.\u003c\/p\u003e \u003cp\u003e6.5.2 Intermittency equation.\u003c\/p\u003e \u003cp\u003e6.5.3 Laminar fluctuations.\u003c\/p\u003e \u003cp\u003e6.6 Eddy viscosity transport models.\u003c\/p\u003e \u003cp\u003eExercises.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7 Models with tensor variables.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 Second-moment transport.\u003c\/p\u003e \u003cp\u003e7.1.1 A simple illustration.\u003c\/p\u003e \u003cp\u003e7.1.2 Closing the Reynolds stress transport equation.\u003c\/p\u003e \u003cp\u003e7.1.3 Models for the slow part.\u003c\/p\u003e \u003cp\u003e7.1.4 Models for the rapid part.\u003c\/p\u003e \u003cp\u003e7.2 Analytic solutions to SMC models.\u003c\/p\u003e \u003cp\u003e7.2.1 Homogeneous shear flow.\u003c\/p\u003e \u003cp\u003e7.2.2 Curved shear flow.\u003c\/p\u003e \u003cp\u003e7.2.3 Algebraic stress approximation and nonlinear eddy viscosity.\u003c\/p\u003e \u003cp\u003e7.3 Non-homogeneity.\u003c\/p\u003e \u003cp\u003e7.3.1 Turbulent transport.\u003c\/p\u003e \u003cp\u003e7.3.2 Near-wall modeling.\u003c\/p\u003e \u003cp\u003e7.3.3 No-slip condition.\u003c\/p\u003e \u003cp\u003e7.3.4 Nonlocal wall effects.\u003c\/p\u003e \u003cp\u003e7.4 Reynolds averaged computation.\u003c\/p\u003e \u003cp\u003e7.4.1 Numerical issues.\u003c\/p\u003e \u003cp\u003e7.4.2 Examples of Reynolds averaged computation.\u003c\/p\u003e \u003cp\u003eExercises.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8 Advanced topics.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1 Further modeling principles.\u003c\/p\u003e \u003cp\u003e8.1.1 Galilean invariance and frame rotation.\u003c\/p\u003e \u003cp\u003e8.1.2 Realizability.\u003c\/p\u003e \u003cp\u003e8.2 Second-moment closure and Langevin equations.\u003c\/p\u003e \u003cp\u003e8.3 Moving equilibrium solutions of SMC.\u003c\/p\u003e \u003cp\u003e8.3.1 Criterion for steady mean flow.\u003c\/p\u003e \u003cp\u003e8.3.2 Solution in two-dimensional mean flow.\u003c\/p\u003e \u003cp\u003e8.3.3 Bifurcations.\u003c\/p\u003e \u003cp\u003e8.4 Passive scalar flux modeling.\u003c\/p\u003e \u003cp\u003e8.4.1 Scalar diffusivity models.\u003c\/p\u003e \u003cp\u003e8.4.2 Tensor diffusivity models.\u003c\/p\u003e \u003cp\u003e8.4.3 Scalar flux transport.\u003c\/p\u003e \u003cp\u003e8.4.4 Scalar variance.\u003c\/p\u003e \u003cp\u003e8.5 Active scalar flux modeling: effects of buoyancy.\u003c\/p\u003e \u003cp\u003e8.5.1 Second-moment transport models.\u003c\/p\u003e \u003cp\u003e8.5.2 Stratified shear flow.\u003c\/p\u003e \u003cp\u003eExercises.\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart III THEORY OF HOMOGENEOUS TURBULENCE.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9 Mathematical representations.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1 Fourier transforms.\u003c\/p\u003e \u003cp\u003e9.2 Three-dimensional energy spectrum of homogeneous turbulence.\u003c\/p\u003e \u003cp\u003e9.2.1 Spectrum tensor and velocity covariances.\u003c\/p\u003e \u003cp\u003e9.2.2 Modeling the energy spectrum.\u003c\/p\u003e \u003cp\u003eExercises.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e10 Navier–Stokes equations in spectral space.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e10.1 Convolution integrals as triad interaction.\u003c\/p\u003e \u003cp\u003e10.2 Evolution of spectra.\u003c\/p\u003e \u003cp\u003e10.2.1 Small-\u003ci\u003ek\u003c\/i\u003e behavior and energy decay.\u003c\/p\u003e \u003cp\u003e10.2.2 Energy cascade.\u003c\/p\u003e \u003cp\u003e10.2.3 Final period of decay.\u003c\/p\u003e \u003cp\u003eExercises.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e11 Rapid distortion theory.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e11.1 Irrotational mean flow.\u003c\/p\u003e \u003cp\u003e11.1.1 Cauchy form of vorticity equation.\u003c\/p\u003e \u003cp\u003e11.1.2 Distortion of a Fourier mode.\u003c\/p\u003e \u003cp\u003e11.1.3 Calculation of covariances.\u003c\/p\u003e \u003cp\u003e11.2 General homogeneous distortions.\u003c\/p\u003e \u003cp\u003e11.2.1 Homogeneous shear.\u003c\/p\u003e \u003cp\u003e11.2.2 Turbulence near a wall.\u003c\/p\u003e \u003cp\u003eExercises.\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart IV TURBULENCE SIMULATION.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e12 Eddy-resolving simulation.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e12.1 Direct numerical simulation.\u003c\/p\u003e \u003cp\u003e12.1.1 Grid requirements.\u003c\/p\u003e \u003cp\u003e12.1.2 Numerical dissipation.\u003c\/p\u003e \u003cp\u003e12.1.3 Energy-conserving schemes.\u003c\/p\u003e \u003cp\u003e12.2 Illustrations.\u003c\/p\u003e \u003cp\u003e12.3 Pseudo-spectral method.\u003c\/p\u003e \u003cp\u003eExercises.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e13 Simulation of large eddies.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e13.1 Large eddy simulation.\u003c\/p\u003e \u003cp\u003e13.1.1 Filtering.\u003c\/p\u003e \u003cp\u003e13.1.2 Subgrid models.\u003c\/p\u003e \u003cp\u003e13.2 Detached eddy simulation.\u003c\/p\u003e \u003cp\u003eExercises.\u003c\/p\u003e \u003cp\u003e\u003cb\u003eReferences.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eIndex.\u003c\/b\u003e\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","offers":[{"title":"Brand New","offer_id":52507320910104,"sku":"9780470689318","price":70.35,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/files\/9780470689318.jpg?v=1786444084","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/statistical-theory-and-modeling-for-turbulent-flows-hardback-9780470689318","provider":"Freshly Printed Books","version":"1.0","type":"link"}