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Three-dimensional fluid mechanics of particulate two-phase flows in U-bend and helical conduits
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10.1063/1.2189212
/content/aip/journal/pof2/18/4/10.1063/1.2189212
http://aip.metastore.ingenta.com/content/aip/journal/pof2/18/4/10.1063/1.2189212

Figures

Image of FIG. 1.
FIG. 1.

Secondary flows (Dean vortices) in a curved and coiled geometries.

Image of FIG. 2.
FIG. 2.

Computational mesh: (a) U-bend, (b) helix.

Image of FIG. 3.
FIG. 3.

Single-phase wall shear plot at the outer bend of U-bend and helix-shaped curved tubes, compared against the wall shear for a straight tube at the same mass flow rate; , , , , .

Image of FIG. 4.
FIG. 4.

Single-phase wall shear plot at the inner bend of U-bend and helix-shaped curved tubes, compared against the wall shear for a straight tube at the same mass flow rate; , , , , .

Image of FIG. 5.
FIG. 5.

Streamwise velocity profiles along the cross section of U-bend geometry at various axial locations. The major geometrical parameters are: , , , . “I” denotes the inner bend; “O” denotes the outer bend.

Image of FIG. 6.
FIG. 6.

Streamwise velocity profiles along the cross section of U-bend geometry at various axial locations. The major geometrical parameters are: , , , . “I” denotes the inner bend; “O” denotes the outer bend.

Image of FIG. 7.
FIG. 7.

Streamwise velocity profiles along the cross section of helix geometry at various axial locations. The major geometrical parameters are: , , , , . “I” denotes the inner bend, “O” denotes the outer bend.

Image of FIG. 8.
FIG. 8.

The effect of curvature on single-phase flow in the U-bend and helix-shaped curved tubes: (a) wall shear plotted around the circumference at the axial section along the main flow direction, (b) transverse velocity plot at the axial section along the main flow direction of the U-bend, (c) transverse velocity plot at the axial section along the main flow direction of the helix. The major geometrical parameters are: , , , , . “I” denotes the inner bend; “O” denotes the outer bend.

Image of FIG. 9.
FIG. 9.

Variation of developing length with Dean number for helical geometry. Calculated values (squares) are compared against the Yao and Berger, given by Eq. (32) (solid line), and Austin and Seader given by Eq. (33) (dashed line) correlations. The major geometrical parameters are: , , , (for ).

Image of FIG. 10.
FIG. 10.

Variation of dimensionless average wall shear with Dean number for helical geometry. NPHASE-calculated values are compared against the Mishra and Gupta [see Eq. (36)] correlation. The major geometrical parameters are: , , .

Image of FIG. 11.
FIG. 11.

Wall shear around the U-bend circumference at axial section along the main flow direction, compared against the wall shear for a straight tube at the same mass flow rate. The major geometrical parameters are: , , , , , . “I” denotes the inner bend; “O” denotes the outer bend.

Image of FIG. 12.
FIG. 12.

Transverse velocity distributions at axial section along the main flow direction of the U-bend: (a) single-phase flow, (b) two-phase flow at zero gravity, (c) two-phase flow at full gravity. The major geometrical parameters are: , , , , , . “I” denotes the inner bend; “O” denotes the outer bend.

Image of FIG. 13.
FIG. 13.

Circumferential wall shear distribution at the axial section along the main flow direction of the helix, compared against the wall shear for a straight tube at the same mass flow rate. The major geometrical parameters are: , , , , , , . “I” denotes the inner bend; “O” denotes the outer bend.

Image of FIG. 14.
FIG. 14.

Transverse velocity distributions at the axial section along the main flow direction of the helix: (a) single-phase flow, (b) two-phase flow at zero gravity, (c) two-phase at full gravity. Major geometrical parameters: , , , , , , . “I” denotes the inner bend; “O” denotes the outer bend.

Image of FIG. 15.
FIG. 15.

Particle volume fraction distributions at the axial section along the main flow direction of the U-bend, at various Dean numbers . Major geometrical parameters are: , , . “I” denotes the inner bend; “O” denotes the outer bend.

Image of FIG. 16.
FIG. 16.

Deviation in settling zone at the axial section along the main flow direction of the U-bend, at various Froude numbers . Major geometrical parameters: , , . “I” denotes the inner bend; “O” denotes the outer bend.

Tables

Generic image for table
Table I.

Geometry definitions and flow parameters used for simulations.

Generic image for table
Table II.

Physical properties of particle-liquid system.

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/content/aip/journal/pof2/18/4/10.1063/1.2189212
2006-04-28
2014-04-16
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Three-dimensional fluid mechanics of particulate two-phase flows in U-bend and helical conduits
http://aip.metastore.ingenta.com/content/aip/journal/pof2/18/4/10.1063/1.2189212
10.1063/1.2189212
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