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Numerical investigations of turbulent flow characteristics in helically finned pipe
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10.1063/1.3657822
/content/aip/journal/pof2/23/12/10.1063/1.3657822
http://aip.metastore.ingenta.com/content/aip/journal/pof2/23/12/10.1063/1.3657822

Figures

Image of FIG. 1.
FIG. 1.

Pipe with a left-handed helix fin. Only half the axial domain is shown.

Image of FIG. 2.
FIG. 2.

The lines show the locations at which the results will be presented in the (r, θ)-section.

Image of FIG. 3.
FIG. 3.

Frictional velocity uτ with respect to azimuthal distance θf from the fin.

Image of FIG. 4.
FIG. 4.

Schematic of the fin-implementation in the three orthogonal grid planes: (a) (θ, z)-plane; (b) (r, θ)-plane; and (c) (r, z)-plane.

Image of FIG. 5.
FIG. 5.

Two-point correlations in the three coordinate directions i = θ, r, and z at θf = π. (a) y/R = 0.1 and (b) y/R = 0.75.

Image of FIG. 6.
FIG. 6.

Mean Reynolds normal stress at θf = π. Line legends as in Figure 5. 200 (symbols) and 280 (lines) time samples.

Image of FIG. 7.
FIG. 7.

(Color) Visualization of helical averaged variables in a (r, θ)-plane. (a) The colour indicates normalized axial velocities Uz/UP . The scale is from 0 to 0.7. The vectors show the normalized in-plane velocities scaled from 0 to 0.3. (b) The normalized pressure variations caused by the fin. The scale is from –0.01 to 0.06.

Image of FIG. 8.
FIG. 8.

Axial mean velocity Uz . (a) Radial variation. (b) Azimuthal variation.

Image of FIG. 9.
FIG. 9.

Azimuthal mean velocity Uθ . Legends as in Figure 8. (a) Radial variation. (b) Azimuthal variation.

Image of FIG. 10.
FIG. 10.

Radial mean velocity Ur . Legends as in Figure 8. (a) Radial variation. (b) Azimuthal variation.

Image of FIG. 11.
FIG. 11.

Axial mean vorticity Ω z . Legends as in Figure 8. (a) Radial variation. (b) Azimuthal variation.

Image of FIG. 12.
FIG. 12.

Mean pressure variations caused by the fin. Legends as in Figure 8. (a) Radial variation. (b) Azimuthal variation.

Image of FIG. 13.
FIG. 13.

Axial normal stress. Legends as in Figure 8. (a) Radial variation. (b) Azimuthal variation.

Image of FIG. 14.
FIG. 14.

Azimuthal normal stress . Legends as in Figure 8. (a) Radial variation. (b) Azimuthal variation.

Image of FIG. 15.
FIG. 15.

Radial normal stress . Legends as in Figure 8. (a) Radial variation. (b) Azimuthal variation.

Image of FIG. 16.
FIG. 16.

shear-stress. Legends as in Figure 8. (a) Radial variation. (b) Azimuthal variation.

Image of FIG. 17.
FIG. 17.

shear-stress. Legends as in Figure 8. (a) Radial variation. (b) Azimuthal variation.

Image of FIG. 18.
FIG. 18.

shear-stress. Legends as in Figure 8. (a) Radial variation. (b) Azimuthal variation.

Image of FIG. 19.
FIG. 19.

Turbulent contribution to the friction coefficient. Legends as in Figure 8. (a) Weighted contribution. (b) Cumulative contribution defined in Eq. (7).

Image of FIG. 20.
FIG. 20.

(Color online) Instantaneous visualization of fluctuating axial velocities. The black line shows the outline of the fin. (a) r — θ-section at z/R = 0. (b) θ — z-section at y/R = 0.1 (r = 0.9 R).

Image of FIG. 21.
FIG. 21.

Fluctuating vorticity in the near-wall region, y/R ≤ 0.1. (a) Axial component. (b) Azimuthal component, legends as in (a).

Image of FIG. 22.
FIG. 22.

Fluctuating helicity, legends as in Figure 21. (a) Axial component, . (b) Azimuthal component, .

Tables

Generic image for table
Table I.

Spatial resolution. The subscripts c and 1 refer to the centreline and the node next to the wall, respectively.

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/content/aip/journal/pof2/23/12/10.1063/1.3657822
2011-12-09
2014-04-25
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Numerical investigations of turbulent flow characteristics in helically finned pipe
http://aip.metastore.ingenta.com/content/aip/journal/pof2/23/12/10.1063/1.3657822
10.1063/1.3657822
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