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Investigation of the steady engulfment regime in a three-dimensional T-mixer
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10.1063/1.4809591
/content/aip/journal/pof2/25/6/10.1063/1.4809591
http://aip.metastore.ingenta.com/content/aip/journal/pof2/25/6/10.1063/1.4809591
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Flow configuration and frame of reference; dashed lines indicate the flow direction.

Image of FIG. 2.
FIG. 2.

Adjoint base flow pressure obtained with NEK5000 and FreeFem++ at = 240 at section = − in the plane case.

Image of FIG. 3.
FIG. 3.

Vortices identified according to the λ-criterion at = 140.

Image of FIG. 4.
FIG. 4.

( = 140) Vorticity normal to the cutting plane and in-plane velocity vectors at sections = /2 (a) and = 0.2 (b); the thick lines indicate the flow region identified as a vortex according to the λ criterion.

Image of FIG. 5.
FIG. 5.

( = 140) Velocity in the direction and in-plane velocity vectors at section = 0.2; the thick lines indicate the boundary of the vortices.

Image of FIG. 6.
FIG. 6.

( = 140) Vorticity component in the -direction and in-plane velocity vectors at sections = −1 (a) and = −3 (b); the thick lines indicate the boundary of the vortices.

Image of FIG. 7.
FIG. 7.

Vortices identified according to the λ-criterion at = 160.

Image of FIG. 8.
FIG. 8.

Velocity field (iso-contours indicating normal velocity and vectors the planar components) is shown together with a thick line indicating the boundary of the vortices for = 140 (a) and = 160 (b) at section = 0.4.

Image of FIG. 9.
FIG. 9.

( = 160) Vorticity component in the -direction and in-plane velocity vectors at sections = −1 (a) and = −3 (b); the thick lines indicate the boundary of the vortices.

Image of FIG. 10.
FIG. 10.

Vortices identified according to the λ-criterion at = 160 and isocontours of the tracer at different -sections along the outflow pipe.

Image of FIG. 11.
FIG. 11.

( = 160) Passive scalar isocontours and in-plane velocity vectors at plane = −3; the thick lines localize the vortices.

Image of FIG. 12.
FIG. 12.

Passive scalar on plane = /2.

Image of FIG. 13.
FIG. 13.

Vortical structures of the global mode, identified by the λ-criterion, computed at = 140.

Image of FIG. 14.
FIG. 14.

(a)–(d) Global direct mode at four different section: arrows indicate the in-plane velocity components, whose maximum magnitude is approximately equal to 0.72, and contours represent the velocity component normal to the plane, ranging from −0.6 (dark color) to 0.6 (light color).

Image of FIG. 15.
FIG. 15.

Isosurface of the magnitude of the adjoint mode velocity , computed at = 140.

Image of FIG. 16.
FIG. 16.

(a)–(c) Global adjoint mode at three different sections: arrows indicate the in-plane velocity components, whose maximum magnitude is approximately equal to 29.2, and contours represent the velocity component normal to the plane, ranging from −15 (dark color) to 15 (light color).

Image of FIG. 17.
FIG. 17.

Instability core , computed at = 140. (a) 3D view and (b) slice at = 0.4.

Image of FIG. 18.
FIG. 18.

Sensitivity to base flow modifications at different sections: arrows indicate the in-plane sensitivity components, whose maximum magnitude is approximately equal to 66, and contours represent the sensitivity component normal to the plane, ranging from −50 (dark color) to 50 (light color); sections at = 0.2 (a), = 0.4 (b), and = 0.6 (c).

Image of FIG. 19.
FIG. 19.

Sensitivity to modifications of the velocity profile normal to the inlet plane (a) and considered velocity perturbation (b), both at = − .

Image of FIG. 20.
FIG. 20.

Sensitivity to introduction of a velocity profile normal to wall; sections at = (a) and at = 0 (b).

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/content/aip/journal/pof2/25/6/10.1063/1.4809591
2013-06-06
2014-04-16
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Investigation of the steady engulfment regime in a three-dimensional T-mixer
http://aip.metastore.ingenta.com/content/aip/journal/pof2/25/6/10.1063/1.4809591
10.1063/1.4809591
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