scholarly journals A coaxial vortex ring model for vortex breakdown

2008 ◽  
Vol 237 (22) ◽  
pp. 2817-2844 ◽  
Author(s):  
Denis Blackmore ◽  
Morten Brøns ◽  
Arnaud Goullet
2009 ◽  
Vol 10 (4) ◽  
pp. 195-214 ◽  
Author(s):  
S Begg ◽  
F Kaplanski ◽  
S Sazhin ◽  
M Hindle ◽  
M Heikal

A phenomenological study of vortex ring-like structures in gasoline fuel sprays is presented for two types of production fuel injectors: a low-pressure, port fuel injector (PFI) and a high-pressure atomizer that injects fuel directly into an engine combustion chamber (G-DI). High-speed photography and phase Doppler anemometry (PDA) were used to study the fuel sprays. In general, each spray was seen to comprise three distinct periods: an initial, unsteady phase; a quasi-steady injection phase; and an exponential trailing phase. For both injectors, vortex ring-like structures could be clearly traced in the tail of the sprays. The location of the region of maximal vorticity of the droplet and gas mixture was used to calculate the temporal evolution of the radial and axial components of the translational velocity of the vortex ring-like structures. The radial components of this velocity remained close to zero in both cases. The experimental results were used to evaluate the robustness of previously developed models of laminar and turbulent vortex rings. The normalized time, , and normalized axial velocity, , were introduced, where tinit is the time of initial observation of vortex ring-like structures. The time dependence of on was approximated as and for the PFI and G-DI sprays respectively. The G-DI spray compared favourably with the analytical vortex ring model, predicting , in the limit of long times, where α = 3/2 in the laminar case and α = 3/4 when the effects of turbulence are taken into account. The results for the PFI spray do not seem to be compatible with the predictions of the available theoretical models.


Physica ◽  
1973 ◽  
Vol 65 (2) ◽  
pp. 321-336 ◽  
Author(s):  
F.W. Wiegel

1987 ◽  
Vol 59 (17) ◽  
pp. 1926-1929 ◽  
Author(s):  
Gary A. Williams
Keyword(s):  

2016 ◽  
Vol 42 ◽  
pp. 1660157
Author(s):  
SHUAI LI ◽  
SHI-PING WANG ◽  
A-MAN ZHANG

The dynamics of a toroidal bubble splitting near a rigid wall in an inviscid incompressible fluid is studied in this paper. The boundary integral method is adopted to simulate the bubble motion. After the jet impact, the vortex ring model is used to handle the discontinued potential of the toroidal bubble. When the toroidal bubble is splitting, topology changes are made tear the bubble apart. Then, the vortex ring model is extended to multiple vortex rings to simulate the interaction between two toroidal bubbles. A typical case is discussed in this study. Besides, the velocity fields and pressure contours surrounding the bubble are used to illustrate the numerical results. An annular high pressure region is generated at the splitting location, and the maximum pressure may be much higher than the jet impact. More splits may happen after the first split.


1988 ◽  
Vol 61 (9) ◽  
pp. 1142-1142 ◽  
Author(s):  
Gary A. Williams
Keyword(s):  

1990 ◽  
Vol 27 (2) ◽  
pp. 163-168 ◽  
Author(s):  
Thomas A. Schultz
Keyword(s):  

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