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Symmetry breaking effects of density gradient on parallel momentum transport: A new effect
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10.1063/1.3672518
/content/aip/journal/pop/19/1/10.1063/1.3672518
http://aip.metastore.ingenta.com/content/aip/journal/pop/19/1/10.1063/1.3672518
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

(Color online) Real frequencies (a) and growth rates (b) vs obtained from numerical solution of the dispersion relation. The dashed-dotted (-.-.-. curve) represents the analytical approximation of the growth rate on the low side of the spectrum only. Parameters: , , , , , , , , , .

Image of FIG. 2.
FIG. 2.

(Color online) Eigenfunction shifts off the resonant surface due to finite . The figure shows (— curve), (— curve) and (— curve). The zoomed-in subplot highlights the mode shift. The solid vertical line indicates the peak of the shifted eigenfunction. Parameters: , , , and other parameters are same as in Fig. 1 . The mode width is , the mode shift is and the mode averaged .

Image of FIG. 3.
FIG. 3.

(Color online) Variation of induced symmetry breaking driven residual stress (— curve) and -shear induced symmetry breaking driven residual stress (— curve) with . Stresses are computed corresponding to the highest growing mode for every . Parameters: and other parameters same as in Fig. 1 .

Image of FIG. 4.
FIG. 4.

(Color online) Relative strength of induced symmetry breaking driven residual stress to -shear induced symmetry breaking driven residual stress vs . Parameters: same as in Fig. 3 .

Image of FIG. 5.
FIG. 5.

(Color online) Approximate parallel flow levels evaluated at the mid-minor radius by using . The (—) curve represents driven flow and the (—) curve represents the driven flow. This shows that at small the driven flow may be as comparable as driven flow.

Image of FIG. 6.
FIG. 6.

(Color online) Schematic showing regions of relative importance of induced symmetry breaking driven residual parallel momentum and turbulence intensity gradient induced symmetry breaking driven parallel residual flux. The vertical dashed-dotted lines are only for roughly highlighting the regoins where the respective fluxes are dominating.

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/content/aip/journal/pop/19/1/10.1063/1.3672518
2012-01-06
2014-04-19
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Symmetry breaking effects of density gradient on parallel momentum transport: A new ρs* effect
http://aip.metastore.ingenta.com/content/aip/journal/pop/19/1/10.1063/1.3672518
10.1063/1.3672518
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