LEADER 04910nam 22007095 450 001 996418163103316 005 20200703154712.0 010 $a3-030-26033-X 024 7 $a10.1007/978-3-030-26033-0 035 $a(CKB)4100000010770947 035 $a(DE-He213)978-3-030-26033-0 035 $a(MiAaPQ)EBC6157286 035 $a(PPN)243763050 035 $a(EXLCZ)994100000010770947 100 $a20200402d2020 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aNonlinear, Nonlocal and Fractional Turbulence$b[electronic resource] $eAlternative Recipes for the Modeling of Turbulence /$fby Peter William Egolf, Kolumban Hutter 205 $a1st ed. 2020. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2020. 215 $a1 online resource (XXXVII, 445 p. 119 illus., 26 illus. in color.) 311 $a3-030-26032-1 320 $aIncludes bibliographical references. 327 $aIntroduction -- Reynolds Averaging of the Navier-Stokes Equations (RANS) -- The closure problem -- Boussinesq?s ?constitutive law? -- First turbulence models for shear flows -- Review of nonlinear and nonlocal models -- The Difference-Quotient Turbulence Model (DQTM) -- Self-similar RANS -- Elementary turbulent shear flow solutions -- Thermodynamics of turbulence -- Turbulence ? a cooperative phenomenon -- Conclusions and outlook. 330 $aExperts of fluid dynamics agree that turbulence is nonlinear and nonlocal. Because of a direct correspondence, nonlocality also implies fractionality. Fractional dynamics is the physics related to fractal (geometrical) systems and is described by fractional calculus. Up-to-present, numerous criticisms of linear and local theories of turbulence have been published. Nonlinearity has established itself quite well, but so far only a very small number of general nonlocal concepts and no concrete nonlocal turbulent flow solutions were available. This book presents the first analytical and numerical solutions of elementary turbulent flow problems, mainly based on a nonlocal closure. Considerations involve anomalous diffusion (Lévy flights), fractal geometry (fractal-?, bi-fractal and multi-fractal model) and fractional dynamics. Examples include a new ?law of the wall? and a generalization of Kraichnan?s energy-enstrophy spectrum that is in harmony with non-extensive and non-equilibrium thermodynamics (Tsallis thermodynamics) and experiments. Furthermore, the presented theories of turbulence reveal critical and cooperative phenomena in analogy with phase transitions in other physical systems, e.g., binary fluids, para-ferromagnetic materials, etc.; the two phases of turbulence identifying the laminar streaks and coherent vorticity-rich structures. This book is intended, apart from fluids specialists, for researchers in physics, as well as applied and numerical mathematics, who would like to acquire knowledge about alternative approaches involved in the analytical and numerical treatment of turbulence. 606 $aFluids 606 $aStatistical physics 606 $aFluid mechanics 606 $aPartial differential equations 606 $aThermodynamics 606 $aHydrogeology 606 $aFluid- and Aerodynamics$3https://scigraph.springernature.com/ontologies/product-market-codes/P21026 606 $aApplications of Nonlinear Dynamics and Chaos Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/P33020 606 $aEngineering Fluid Dynamics$3https://scigraph.springernature.com/ontologies/product-market-codes/T15044 606 $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155 606 $aThermodynamics$3https://scigraph.springernature.com/ontologies/product-market-codes/P21050 606 $aHydrogeology$3https://scigraph.springernature.com/ontologies/product-market-codes/G19005 615 0$aFluids. 615 0$aStatistical physics. 615 0$aFluid mechanics. 615 0$aPartial differential equations. 615 0$aThermodynamics. 615 0$aHydrogeology. 615 14$aFluid- and Aerodynamics. 615 24$aApplications of Nonlinear Dynamics and Chaos Theory. 615 24$aEngineering Fluid Dynamics. 615 24$aPartial Differential Equations. 615 24$aThermodynamics. 615 24$aHydrogeology. 676 $a532.0527015118 700 $aEgolf$b Peter William$4aut$4http://id.loc.gov/vocabulary/relators/aut$0904441 702 $aHutter$b Kolumban$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996418163103316 996 $aNonlinear, Nonlocal and Fractional Turbulence$92022333 997 $aUNISA