2007
DOI: 10.1017/s0022112007006349
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Passive scalar mixing in vortex rings

Abstract: Direct numerical simulation is used to study the mixing of a passive scalar by a vortex ring issuing from a nozzle into stationary fluid. The ‘formation number’ (Gharibet al. J. Fluid Mech.vol. 360, 1998, p. 121), is found to be 3.6. Simulations are performed for a range of stroke ratios (ratio of stroke length to nozzle exit diameter) encompassing the formation number, and the effect of stroke ratio on entrainment and mixing is examined. When the stroke ratio is greater than the formation number, the resultin… Show more

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Cited by 52 publications
(26 citation statements)
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“…Usually, the centre C of the vortex is first located as the point of the maximum vorticity ω max ; the vortex core is then defined as the inner domain bounded by the vorticity contour ω/ω max = 0.05 that encircles the centre C. The cutoff level is set based on trial and error, to the best satisfaction of the authors. Threshold values ranged from 2% (Mohseni 2001) and 5% (Rosenfeld et al 1998;Zhao et al 2000;Sau & Mahesh 2007) in numerical studies, to approximately 10% (Dabiri & Gharib 2004) in experiments.…”
Section: Numerical Resultsmentioning
confidence: 92%
“…Usually, the centre C of the vortex is first located as the point of the maximum vorticity ω max ; the vortex core is then defined as the inner domain bounded by the vorticity contour ω/ω max = 0.05 that encircles the centre C. The cutoff level is set based on trial and error, to the best satisfaction of the authors. Threshold values ranged from 2% (Mohseni 2001) and 5% (Rosenfeld et al 1998;Zhao et al 2000;Sau & Mahesh 2007) in numerical studies, to approximately 10% (Dabiri & Gharib 2004) in experiments.…”
Section: Numerical Resultsmentioning
confidence: 92%
“…The algorithm has been validated for a wide range of complex problems which include a gas turbine combustor geometry ) and predicting propeller crashback (Verma, Jang & Mahesh 2012;Jang & Mahesh 2013). It has been used to study the entrainment from free jets by (Babu & Mahesh 2004) and was applied to transverse jets by Muppidi & Mahesh (2005 and Sau & Mahesh (2007. DNS of a round turbulent jet in crossflow was performed by Muppidi & Mahesh (2007) under the same conditions as Su & Mungal's (2004) experiments, and very good agreement with the experimental data was obtained.…”
Section: Numerical Algorithmmentioning
confidence: 97%
“…9, in which a trailing column [16][17][18][19][36][37][38] of hot gas is evident. The creation of the trailing column was the result of exceeding the critical formation number of a vortex ring [17,18].…”
Section: Resultsmentioning
confidence: 99%