LEADER 03783nam 22006135 450 001 9910349348603321 005 20200702044821.0 010 $a3-030-18319-X 024 7 $a10.1007/978-3-030-18319-6 035 $a(CKB)4100000008743015 035 $a(MiAaPQ)EBC5837807 035 $a(DE-He213)978-3-030-18319-6 035 $a(PPN)238488977 035 $a(EXLCZ)994100000008743015 100 $a20190722d2019 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aMathematical Modeling of Unsteady Inviscid Flows /$fby Jeff D. Eldredge 205 $a1st ed. 2019. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2019. 215 $a1 online resource (473 pages) 225 1 $aInterdisciplinary Applied Mathematics,$x0939-6047 ;$v50 311 $a3-030-18318-1 327 $aReference Frames, Body Motion and Notation -- Foundational Concepts -- General Results of Incompressible Flow about a Body -- Force and Moment on a Body -- Transport of Vortex Elements -- Flow about a Two-Dimensional Flat Plate -- Flow About Three-Dimensional Bodies -- Multiple Bodies -- A. Mathematical Tools. 330 $aThis book builds inviscid flow analysis from an undergraduate-level treatment of potential flow to the level required for research. The tools covered in this book allow the reader to develop physics-based mathematical models for a variety of flows, including attached and separated flows past wings, fins, and blades of various shapes undergoing arbitrary motions. The book covers all of the ingredients of these models: the solution of potential flows about arbitrary body shapes in two- and three-dimensional contexts, with a particular focus on conformal mapping in the plane; the decomposition of the flow into contributions from ambient vorticity and body motion; generalized edge conditions, of which the Kutta condition is a special case; and the calculation of force and moment, with extensive treatments of added mass and the influence of fluid vorticity. The book also contains an extensive primer with all of the necessary mathematical tools. The concepts are demonstrated on several example problems, both classical and modern. 410 0$aInterdisciplinary Applied Mathematics,$x0939-6047 ;$v50 606 $aMathematical physics 606 $aFluids 606 $aFluid mechanics 606 $aMathematical models 606 $aMathematical Applications in the Physical Sciences$3https://scigraph.springernature.com/ontologies/product-market-codes/M13120 606 $aFluid- and Aerodynamics$3https://scigraph.springernature.com/ontologies/product-market-codes/P21026 606 $aEngineering Fluid Dynamics$3https://scigraph.springernature.com/ontologies/product-market-codes/T15044 606 $aMathematical Modeling and Industrial Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/M14068 606 $aMathematical Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/M35000 615 0$aMathematical physics. 615 0$aFluids. 615 0$aFluid mechanics. 615 0$aMathematical models. 615 14$aMathematical Applications in the Physical Sciences. 615 24$aFluid- and Aerodynamics. 615 24$aEngineering Fluid Dynamics. 615 24$aMathematical Modeling and Industrial Mathematics. 615 24$aMathematical Physics. 676 $a620.1064 676 $a620.106 700 $aEldredge$b Jeff D$4aut$4http://id.loc.gov/vocabulary/relators/aut$0781378 906 $aBOOK 912 $a9910349348603321 996 $aMathematical Modeling of Unsteady Inviscid Flows$91732565 997 $aUNINA