caa a22 4500 475777492 CHVBK 20180406123635.0 cr unu---uuuuu 170329e20000201xx s 000 0 eng 10.1023/A:1002431928523 doi (NATIONALLICENCE)springer-10.1023/A:1002431928523 Unification Of Non-Dimensional Solutions To Asymptotic Equations For Plumes Of Different Shape [Elektronische Daten] [Peter Tate, Jason Middleton] A model of buoyant fluid rise is developed in aLagrangian framework. Results from the model arevalidated by comparison with laboratory and fieldexperiments. The model is sufficiently general toinclude geometries of any cross-sectional shape. Exact solutions to the asymptotic equations forcontinuous discharges from line and point sources andfor an instantaneous discharge from a point source areconsidered. Prismatic, cylindrical andspherical shapes approximate these three geometries,respectively. Accommodation of these shapes withinthe same general model allows for direct comparison. It is shown that, for discharges into a cross-flowthat may be stratified or unstratified, thenon-dimensional trajectory, thickness and dilution canbe uniquely specified using three parameters. Theseare the non-dimensional size of the source, therelative importance of the initial fluxes of momentumand buoyancy and the number of orthogonal axes throughwhich entrainment can occur. Such non-dimensionalresults are particularly useful for examining thosescenarios for which there are limited experimentaldata. Kluwer Academic Publishers, 2000 Asymptotic equations nationallicence Plumes nationallicence Cross-flow nationallicence Source geometries nationallicence Tate Peter Water Research Laboratory, King Street, 2093, Manly Vale, NSW, Australia aut Middleton Jason School of Mathematics, University of New South Wales, 2052, Sydney, NSW, Australia aut Boundary-Layer Meteorology Kluwer Academic Publishers 94/2(2000-02-01), 225-251 0006-8314 94:2<225 2000 94 10546 https://doi.org/10.1023/A:1002431928523 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1023/A:1002431928523 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Tate Peter Water Research Laboratory, King Street, 2093, Manly Vale, NSW, Australia aut NATIONALLICENCE 700 1- Middleton Jason School of Mathematics, University of New South Wales, 2052, Sydney, NSW, Australia aut NATIONALLICENCE 773 0- Boundary-Layer Meteorology Kluwer Academic Publishers 94/2(2000-02-01), 225-251 0006-8314 94:2<225 2000 94 10546 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer