• journal/journal.article
• aip/pof2
• /content/aip/journal/pof2/18/4/10.1063/1.2189212
• pof.aip.org
1887
No data available.
No metrics data to plot.
The attempt to plot a graph for these metrics has failed.
Three-dimensional fluid mechanics of particulate two-phase flows in U-bend and helical conduits
USD
10.1063/1.2189212
View Affiliations Hide Affiliations
Affiliations:
1 Department of Mechanical, Aerospace, and Nuclear Engineering, Rensselaer Polytechnic Institute, Troy, New York 12180
2 Department of Mechanical, Aerospace, and Nuclear Engineering and Center for Multiphase Research, Rensselaer Polytechnic Institute, Troy, New York 12180
a) Author to whom correspondence should be addressed. Telephone: 518-276-4000. Fax: 518-276-3055. Electronic mail: podowm@rpi.edu
Phys. Fluids 18, 043304 (2006)
/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

FIG. 1.

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

FIG. 2.

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

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; , , , , .

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; , , , , .

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.

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.

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.

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.

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 ).

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: , , .

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.

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.

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.

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.

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.

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

Table I.

Geometry definitions and flow parameters used for simulations.

Table II.

Physical properties of particle-liquid system.

/content/aip/journal/pof2/18/4/10.1063/1.2189212
2006-04-28
2014-04-19

Article
content/aip/journal/pof2
Journal
5
3

### Most cited this month

More Less
This is a required field