000 03527nam a22006135i 4500
001 978-3-030-68150-0
003 DE-He213
005 20220801220142.0
007 cr nn 008mamaa
008 210416s2021 sz | s |||| 0|eng d
020 _a9783030681500
_9978-3-030-68150-0
024 7 _a10.1007/978-3-030-68150-0
_2doi
050 4 _aTA329-348
072 7 _aTBJ
_2bicssc
072 7 _aTEC009000
_2bisacsh
072 7 _aTBJ
_2thema
082 0 4 _a620.00151
_223
100 1 _aDanaila, Ionut.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_948632
245 1 0 _aVortex Ring Models
_h[electronic resource] /
_cby Ionut Danaila, Felix Kaplanski, Sergei S. Sazhin.
250 _a1st ed. 2021.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2021.
300 _aXV, 197 p. 62 illus., 52 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aMathematical Engineering,
_x2192-4740
505 0 _aThe vortex ring problem -- Steady inviscid vortex rings -- Viscous vortex rings -- Viscous vortex rings with elliptical cores -- Confined vortex rings -- Formation number of vortex rings -- Applications of the models.
520 _aThis book offers a guide to understanding models of vortex rings, starting from classical ones (circular vortex filament, Hill and Norbury-Fraenkel inviscid models) to very recent models incorporating viscous effects and realistic shapes of the vortex core. Unconfined and confined viscous vortex rings are described by closed formulae for vorticity, stream function, translational velocity, energy, impulse and circulation. Models are applied to predict the formation number of optimal vortex rings and to describe two-phase vortex ring-like structures generated in internal combustion engines. The book provides a detailed presentation of analytical developments of models, backed up by illustrations and systematic comparisons with results of direct numerical simulations. The book is useful for graduate students in applied mathematics, engineering and physical sciences. It is a useful reference for researchers and practising engineers interested in modelling flows with vortex rings. .
650 0 _aEngineering mathematics.
_93254
650 0 _aFluid mechanics.
_92810
650 0 _aContinuum mechanics.
_93467
650 0 _aSoft condensed matter.
_917418
650 0 _aMathematical models.
_94632
650 1 4 _aEngineering Mathematics.
_93254
650 2 4 _aEngineering Fluid Dynamics.
_948633
650 2 4 _aContinuum Mechanics.
_93467
650 2 4 _aSoft and Granular Matter.
_934622
650 2 4 _aMathematical Modeling and Industrial Mathematics.
_933097
700 1 _aKaplanski, Felix.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_948634
700 1 _aSazhin, Sergei S.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_948635
710 2 _aSpringerLink (Online service)
_948636
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783030681494
776 0 8 _iPrinted edition:
_z9783030681517
776 0 8 _iPrinted edition:
_z9783030681524
830 0 _aMathematical Engineering,
_x2192-4740
_948637
856 4 0 _uhttps://doi.org/10.1007/978-3-030-68150-0
912 _aZDB-2-ENG
912 _aZDB-2-SXE
942 _cEBK
999 _c78260
_d78260