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020 _a9783031046834
024 7 _a10.1007/978-3-031-04683-4
_2doi
040 _aTR-AnTOB
_beng
_erda
_cTR-AnTOB
041 _aeng
050 4 _aQA901
072 7 _aTGB
_2bicssc
072 7 _aTEC009070
_2bisacsh
072 7 _aTGB
_2thema
090 _aQA901EBK
100 1 _aDeville, Michel O.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 3 _aAn Introduction to the Mechanics of Incompressible Fluids
_h[electronic resource] /
_cby Michel O. Deville.
250 _a1st ed. 2022.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2022.
300 _a1 online resource
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 _aIncompressible Newtonian Fluid Mechanics -- Dimensional Analysis -- Exact Solutions of the Navier-Stokes Equations -- Vorticity and Vortex Kinematics -- Stokes Flow -- Plane Irrotational Flows of Perfect Fluid -- Boundary Layer -- Instability -- Turbulence -- Solutions of the Exercices -- Index.
506 0 _aOpen Access
520 _aThis open access book allows the reader to grasp the main bulk of fluid flow problems at a brisk pace. Starting with the basic concepts of conservation laws developed using continuum mechanics, the incompressibility of a fluid is explained and modeled, leading to the famous Navier-Stokes equation that governs the dynamics of fluids. Some exact solutions for transient and steady-state cases in Cartesian and axisymmetric coordinates are proposed. A particular set of examples is associated with creeping or Stokes flows, where viscosity is the dominant physical phenomenon. Irrotational flows are treated by introducing complex variables. The use of the conformal mapping and the Joukowski transformation allows the treatment of the flow around an airfoil. The boundary layer theory corrects the earlier approach with the Prandtl equations, their solution for the case of a flat plate, and the von Karman integral equation. The instability of fluid flows is studied for parallel flows using the Orr-Sommerfeld equation. The stability of a circular Couette flow is also described. The book ends with the modeling of turbulence by the Reynolds-averaged Navier-Stokes equations and large-eddy simulations. Each chapter includes useful practice problems and their solutions. The book is useful for engineers, physicists, and scientists interested in the fascinating field of fluid mechanics.
650 0 _aMechanics, Applied.
650 0 _aFluid mechanics.
650 1 4 _aEngineering Mechanics.
650 2 4 _aEngineering Fluid Dynamics.
653 0 _aFluid mechanics -- Mathematics
653 0 _aNavier-Stokes equations
710 2 _aSpringerLink (Online service)
856 4 0 _uhttps://doi.org/10.1007/978-3-031-04683-4
_3Springer eBooks
_zOnline access link to the resource
942 _2lcc
_cEBK