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Streamwise Vorticity Formation in a Transverse Jet

Transverse jets have a wide range of applications in engineering, from propulsion and power generation to exhaust dispersion. The mixing properties of the transverse jet significantly impact the performance of these systems. Experimental studies have identified a small number of coherent flow structures which appear to control the evolution of the jet boundary, suggesting that the mixing characteristics of the transverse jet can be altered by manipulating these structures.

Figure 3   Total velocity magnitude in the centerplane z = 0, = 4.50.

The complexity of the flow renders detailed numerical simulation nearly intractable, but Marzouk and Ghoniem have attempted a careful reduction of the physics in order to reproduce the essential dynamics of the underlying flow structures. They used a vortex filament method to model a transverse jet at high jet-to-crossflow velocity ratio, capturing the mechanisms leading to the formation of streamwise entraining structures—namely, the counter-rotating vortex pair (CVP).

Results show that the formation of the CVP is initiated very close to the nozzle, fed by jet boundary layer vorticity. Large-scale vortex rings form in the early stages of the jet shear layer due to rollup. As each ring convects into the flow, its lee side is lifted upwards and folded backwards, eventually transforming each ring into two crescent-shaped sections connected by counter-rotating vortices aligned along the jet trajectory. Lee and windward sides of neighboring vortex rings merge, canceling vorticity in a plane normal to the jet trajectory and leaving only the counter-rotating vortex pair. The instantaneous vorticity field supports the assertion that the counter-rotating vortices are driven by the instantaneous dynamics of the flow (Figure 3).


INVESTIGATORS
A. F. Ghoniem and Y. M. Marzouk, Massachusetts Institute of Technology.

PUBLICATION
Y. M. Marzouk and A. F. Ghoniem, “Mechanism of streamwise vorticity formation in a transverse jet,” American Institute of Aeronautics and Astronautics paper AIAA 2002–1063 (2002).

URL
http://centaur.mit.edu/rgd/

 
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