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Numerical investigation of the stability of bubble train flow in a square minichannel
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10.1063/1.3101146
    + View Affiliations - Hide Affiliations
    Affiliations:
    1 Department of Mechanical Engineering, Institute of Science and Technology, University of Sakarya, 54187 Sakarya, Turkey
    2 Forschungszentrum Karlsruhe, Institut für Reaktorsicherheit, Postfach 3640, 76021 Karlsruhe, Germany
    3 Department of Mechanical Engineering, Engineering Faculty, University of Sakarya, 54187 Sakarya, Turkey
    a) LLP exchange student at University Karlsruhe and Forschungszentrum Karlsruhe. Present address: ASEP Group, Balcikkoyu, Kocagol mevkii, 41400, Gebze, Kocaeli, Turkey.
    b) Present address: Forschungszentrum Karlsruhe, Institut für Kern- und Energietechnik, Postfach 3640, 76021 Karlsruhe, Germany.
    Phys. Fluids 21, 042108 (2009); http://dx.doi.org/10.1063/1.3101146
/content/aip/journal/pof2/21/4/10.1063/1.3101146
http://aip.metastore.ingenta.com/content/aip/journal/pof2/21/4/10.1063/1.3101146

Figures

Image of FIG. 1.
FIG. 1.

(a) Computed steady bubble shape for the four different capillary numbers. The dashed lines denote the channel walls. The flow is from left to right. (b) Comparison of computed liquid film thickness (filled squares) with the correlation of Bretherton (Ref. 39) (solid line), the numerical results of Giavedoni and Saita (Ref. 40) (open squares), and the correlation of Halpern and Gaver (Ref. 41) (dashed line).

Image of FIG. 2.
FIG. 2.

Sketch of computational domain, boundary conditions, and initial bubble positions. (a) Perspective view; (b) lateral view.

Image of FIG. 3.
FIG. 3.

Time history of the mean liquid velocity and the velocity of the two bubbles for the different runs of case A.

Image of FIG. 4.
FIG. 4.

Time history of the mean liquid velocity and the velocity of the two bubbles for the different runs of case B.

Image of FIG. 5.
FIG. 5.

Time history of the slug lengths and for the different runs of case A.

Image of FIG. 6.
FIG. 6.

Time history of the slug lengths and for the different runs of case B.

Image of FIG. 7.
FIG. 7.

Nondimensional relative velocity as function of the nondimensional slug length evaluated from the simulation results of Wörner et al. (Ref. 36).

Image of FIG. 8.
FIG. 8.

Time history of the slug lengths and for cases C1 and C2.

Image of FIG. 9.
FIG. 9.

Visualization of particle trajectories (left half) and velocity vectors (right half) in moving frame of reference for plane for (a) case A4 for and (b) case A0g for .

Image of FIG. 10.
FIG. 10.

Visualization of particle trajectories (left half) and velocity vectors (right half) in moving frame of reference for plane for (a) case B3 for and (b) case B4 for .

Image of FIG. 11.
FIG. 11.

Visualization of particle trajectories (left half) and velocity vectors (right half) in moving frame of reference for plane for (a) case C1 for and (b) case C2 for .

Image of FIG. 12.
FIG. 12.

Profiles of normalized vertical velocity in the middle of the two liquid slugs. The instants in time for cases A0g and B4 correspond to those in Figs. 9(b) and 10(b). The position in -direction is (due to the staggered grid). The dashed horizontal line corresponds to the maximum velocity of a fully developed Poiseuille profile.

Image of FIG. 13.
FIG. 13.

Profiles of normalized vertical velocity in the middle of the two liquid slugs. The instants in time for cases C1 and C2 correspond to those in Figs. 11(a) and 11(b). The position in -direction is . The dashed horizontal line corresponds to the maximum velocity of a fully developed Poiseuille profile.

Image of FIG. 14.
FIG. 14.

(a) A pair of mesh cells and with a plane representing the interface, the liquid being below the plane. (b) Situation where face is a g/l-interface face. (c) Extension of the left and right integration domain to obtain and for this case exactly.

Tables

Generic image for table
Table I.

Summary of parameters and results of the different simulations. The values for , , and correspond to the last time step of the transient simulations.

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/content/aip/journal/pof2/21/4/10.1063/1.3101146
2009-04-22
2014-04-18
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Numerical investigation of the stability of bubble train flow in a square minichannel
http://aip.metastore.ingenta.com/content/aip/journal/pof2/21/4/10.1063/1.3101146
10.1063/1.3101146
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