001435942 000__ 03218cam\a2200541\i\4500 001435942 001__ 1435942 001435942 003__ OCoLC 001435942 005__ 20230309004000.0 001435942 006__ m\\\\\o\\d\\\\\\\\ 001435942 007__ cr\cn\nnnunnun 001435942 008__ 210422s2021\\\\sz\a\\\\ob\\\\001\0\eng\d 001435942 019__ $$a1248900054$$a1249071273 001435942 020__ $$a9783030681500$$q(electronic bk.) 001435942 020__ $$a3030681505$$q(electronic bk.) 001435942 020__ $$z9783030681494 001435942 020__ $$z3030681491 001435942 0247_ $$a10.1007/978-3-030-68150-0$$2doi 001435942 035__ $$aSP(OCoLC)1247081281 001435942 040__ $$aGW5XE$$beng$$erda$$epn$$cGW5XE$$dOCLCO$$dYDX$$dEBLCP$$dOCLCF$$dUKAHL$$dOCLCQ$$dOCLCO$$dCOM$$dOCLCQ 001435942 049__ $$aISEA 001435942 050_4 $$aQA925 001435942 08204 $$a532/.0595$$223 001435942 1001_ $$aDanaila, Ionut,$$eauthor. 001435942 24510 $$aVortex ring models /$$cIonut Danaila, Felix Kaplanski, Sergei S. Sazhin. 001435942 264_1 $$aCham :$$bSpringer,$$c[2021] 001435942 300__ $$a1 online resource (xv, 197 pages) :$$billustrations (some color) 001435942 336__ $$atext$$btxt$$2rdacontent 001435942 337__ $$acomputer$$bc$$2rdamedia 001435942 338__ $$aonline resource$$bcr$$2rdacarrier 001435942 4901_ $$aMathematical engineering,$$x2192-4732 001435942 504__ $$aIncludes bibliographical references and index. 001435942 5050_ $$aThe vortex ring problem -- Steady inviscid vortex rings -- Viscous vortex rings -- Viscous vortex rings with elliptical cores -- Confined vortex rings -- Formation number of vortex rings -- Applications of the models. 001435942 506__ $$aAccess limited to authorized users. 001435942 520__ $$aThis book offers a guide to understanding models of vortex rings, starting from classical ones (circular vortex filament, Hill and Norbury-Fraenkel inviscid models) to very recent models incorporating viscous effects and realistic shapes of the vortex core. Unconfined and confined viscous vortex rings are described by closed formulae for vorticity, stream function, translational velocity, energy, impulse and circulation. Models are applied to predict the formation number of optimal vortex rings and to describe two-phase vortex ring-like structures generated in internal combustion engines. The book provides a detailed presentation of analytical developments of models, backed up by illustrations and systematic comparisons with results of direct numerical simulations. The book is useful for graduate students in applied mathematics, engineering and physical sciences. It is a useful reference for researchers and practising engineers interested in modelling flows with vortex rings. 001435942 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed April 22, 2021). 001435942 650_0 $$aVortex-motion. 001435942 650_6 $$aTourbillons (Mécanique des fluides) 001435942 655_0 $$aElectronic books. 001435942 7001_ $$aKaplanski, Felix,$$eauthor. 001435942 7001_ $$aSazhin, S. S.$$q(Sergeĭ Stepanovich),$$eauthor. 001435942 77608 $$iPrint version:$$aDanaila, Ionut.$$tVortex ring models.$$dCham : Springer, [2021]$$z3030681491$$z9783030681494$$w(OCoLC)1227382971 001435942 830_0 $$aMathematical engineering.$$x2192-4732 001435942 852__ $$bebk 001435942 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-68150-0$$zOnline Access$$91397441.1 001435942 909CO $$ooai:library.usi.edu:1435942$$pGLOBAL_SET 001435942 980__ $$aBIB 001435942 980__ $$aEBOOK 001435942 982__ $$aEbook 001435942 983__ $$aOnline 001435942 994__ $$a92$$bISE