LEADER 05607nam 22008055 450 001 9910300149803321 005 20200703203428.0 010 $a3-319-03835-4 024 7 $a10.1007/978-3-319-03835-3 035 $a(CKB)3710000000106731 035 $a(Springer)9783319038353 035 $a(MH)014020900-X 035 $a(SSID)ssj0001205065 035 $a(PQKBManifestationID)11798938 035 $a(PQKBTitleCode)TC0001205065 035 $a(PQKBWorkID)11181833 035 $a(PQKB)11076030 035 $a(DE-He213)978-3-319-03835-3 035 $a(MiAaPQ)EBC6219581 035 $a(MiAaPQ)EBC1698331 035 $a(Au-PeEL)EBL1698331 035 $a(CaPaEBR)ebr10969062 035 $a(OCoLC)877946166 035 $a(PPN)178316695 035 $a(EXLCZ)993710000000106731 100 $a20140415d2014 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aSlow Viscous Flow /$fby William E. Langlois, Michel O. Deville 205 $a2nd ed. 2014. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2014. 215 $a1 online resource (XV, 324 p. 133 illus., 7 illus. in color.)$conline resource 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-319-03834-6 327 $aCartesian Tensors -- The Equations of Viscous Flow -- Curvilinear Coordinates -- Exact Solutions to the Equations of Viscous Flow -- Pipe Flow -- Flow Past a Sphere -- Plane Flow -- Rotary Flow -- Lubrication Theory -- Introduction to the Finite Element Method -- Variational Principle, Weak Formulation and Finite Elements -- Stokes Ow and Corner Eddies -- References -- Index. 330 $aLeonardo wrote, 'Mechanics is the paradise of the mathematical sciences, because by means of it one comes to the fruits of mathematics' ; replace 'Mechanics' by 'Fluid mechanics' and here we are." -    from the Preface to the Second Edition Although the exponential growth of computer power has advanced the importance of simulations and visualization tools for elaborating new models, designs and technologies, the discipline of fluid mechanics is still large, and turbulence in flows remains a challenging problem in classical physics. Like its predecessor, the revised and expanded Second Edition of this book addresses the basic principles of fluid mechanics and solves fluid flow problems where viscous effects are the dominant physical phenomena. Much progress has occurred in the nearly half a century that has passed since the edition of 1964. As predicted, aspects of hydrodynamics once considered offbeat have risen to importance. For example, the authors have worked on problems where variations in viscosity and surface tension cannot be ignored. The advent of nanotechnology has broadened interest in the hydrodynamics of thin films, and hydromagnetic effects and radiative heat transfer are routinely encountered in materials processing. This monograph develops the basic equations, in the three most important coordinate systems, in a way that makes it easy to incorporate these phenomena into the theory. The book originally described by Prof. Langlois as "a monograph on theoretical hydrodynamics, written in the language of applied mathematics" offers considerable new coverage including the second principle of thermodynamics, Boussinesq approximation, time dependent flows, Marangoni convection, Kovasznay flow, plane periodic solutions, Hele-Shaw cells, Stokeslets, rotlets, finite element methods, Wannier flow, corner eddies, and analysis of the Stokes operator. 606 $aApproximation theory 606 $aApplied mathematics 606 $aEngineering mathematics 606 $aComputer science$xMathematics 606 $aMathematical physics 606 $aApproximations and Expansions$3https://scigraph.springernature.com/ontologies/product-market-codes/M12023 606 $aApplications of Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/M13003 606 $aComputational Mathematics and Numerical Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M1400X 606 $aComputational Science and Engineering$3https://scigraph.springernature.com/ontologies/product-market-codes/M14026 606 $aTheoretical, Mathematical and Computational Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19005 615 0$aApproximation theory. 615 0$aApplied mathematics. 615 0$aEngineering mathematics. 615 0$aComputer science$xMathematics. 615 0$aMathematical physics. 615 14$aApproximations and Expansions. 615 24$aApplications of Mathematics. 615 24$aComputational Mathematics and Numerical Analysis. 615 24$aComputational Science and Engineering. 615 24$aTheoretical, Mathematical and Computational Physics. 676 $a004.0151 700 $aLanglois$b William E$4aut$4http://id.loc.gov/vocabulary/relators/aut$0721643 702 $aDeville$b Michel O$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910300149803321 996 $aSlow Viscous Flow$92504754 997 $aUNINA 999 $aThis Record contains information from the Harvard Library Bibliographic Dataset, which is provided by the Harvard Library under its Bibliographic Dataset Use Terms and includes data made available by, among others the Library of Congress