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010   $a9783031711985
010   $a303171198X
024 7 $a10.1007/978-3-031-71198-5
035   $a(CKB)38165179800041
035   $a(DE-He213)978-3-031-71198-5
035   $a(MiAaPQ)EBC31980911
035   $a(Au-PeEL)EBL31980911
035   $a(OCoLC)1524420936
035   $a(EXLCZ)9938165179800041
100   $a20250330d2025      u|         0
101 0 $aeng
135   $aur|||||||||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 14$aThe Hierarchy of Fluid Dynamic Equations $eFoundations of the Second Mathematization Wave of Fluid Dynamics /$fby Claus Weiland
205   $a1st ed. 2025.
210  1$aCham :$cSpringer Nature Switzerland :$cImprint: Springer,$d2025.
215   $a1 online resource (XV, 292 p. 92 illus., 41 illus. in color.) 
225 1 $aPhysics and Astronomy Series
311 08$a9783031711978 
311 08$a3031711971 
327   $a1. Introduction -- 2. The Historical Background of the Theory of Fluid Dynamics -- 3. The Fluid Dynamic Equations in Symbolic Form -- 4. The Fluid Dynamic Equations in Component Form -- 5. The Navier-Stokes Equations in Cartesian Coordinates.
330   $aThis book is devoted to the most general governing equations of the fluid mechanics, namely the Navier-Stokes equations and their derivatives. These equations are presented in various manners: for several coordinate systems, for laminar and turbulent flows, for different thermodynamic states of gases, in dimensional and non-dimensional forms, and in an incompressible situation. All that is valid also for the different versions of the Navier-Stokes equations, where appropriate. The only way to solve the fluid dynamic equations for complex three-dimensional problems consists in the use of numerical integration methods. To deal with this request it is very helpful to formulate the complete set of governing equations in vector or vector-matrix form. This is true also for two equations turbulence models as well as for the description of non-equilibrium effects of thermodynamics. These requirements are fully addressed in this book. Graduate and doctoral students, who are concerned with the numerical solutions of the fluid dynamic equations for specific problems, may find in this book the suggestions regarding the degree of approximation which could be adequate for the task they consider. Further, persons who are interested in the evolution of the mathematical description of fluid dynamic issues, both from the scientific and also the historical side, may discover suggestions, advices and motivations in this book.
410  0$aPhysics and Astronomy Series
606   $aFluid mechanics
606   $aPhysics
606   $aThermodynamics
606   $aHeat engineering
606   $aHeat$xTransmission
606   $aMass transfer
606   $aEngineering Fluid Dynamics
606   $aClassical and Continuum Physics
606   $aEngineering Thermodynamics, Heat and Mass Transfer
615  0$aFluid mechanics.
615  0$aPhysics.
615  0$aThermodynamics.
615  0$aHeat engineering.
615  0$aHeat$xTransmission.
615  0$aMass transfer.
615 14$aEngineering Fluid Dynamics.
615 24$aClassical and Continuum Physics.
615 24$aEngineering Thermodynamics, Heat and Mass Transfer.
676   $a620.1064
700   $aWeiland$b Claus$4aut$4http://id.loc.gov/vocabulary/relators/aut$0999568
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910991174503321
996   $aThe Hierarchy of Fluid Dynamic Equations$94349656
997   $aUNINA