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Deformation of a droplet in a particulate shear flow
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10.1063/1.3205446
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Affiliations:
1 Department of Mechanical and Aerospace Engineering, University of California, Irvine, California 92697-3975, USA
Phys. Fluids 21, 093302 (2009)
/content/aip/journal/pof2/21/9/10.1063/1.3205446
http://aip.metastore.ingenta.com/content/aip/journal/pof2/21/9/10.1063/1.3205446
View: Figures

## Figures

FIG. 1.

Schematic of the problem.

FIG. 2.

The physical domain and the computational domain (top right quarter). The drop is showed at with deformation proportional to the second spherical harmonic and (axis of symmetry is horizontal).

FIG. 3.

Oscillation of the drop with and initial deformation proportional to the second spherical harmonic, . (a) Aspect ratio of the drop: solid line is the present axisymmetric result and dashed line is the result of Basaran (Ref. 22). (b) Total volume of the drop normalized by its initial value.

FIG. 4.

Oscillation of the drop with and initial deformation proportional to the second spherical harmonic, . Solid line is the axisymmetric result and dashed line is the three-dimensional result ( uniform grid).

FIG. 5.

Oscillation of the drop with and initial shape of spheroid. Solid line is the present axisymmetric result and dashed line is the analytical solution of small amplitude oscillation.

FIG. 6.

Deformation of a droplet in a particulate shear flow. , , , , , , and . The mesh size is 1/19 of the droplet diameter and the time step is 0.053.

FIG. 7.

Velocity vectors and contour plots of the components of vorticity in the plane for a droplet in a particulate shear flow. , , , , and at . The mesh size is 1/19 of the droplet diameter and the time step is 0.053.

FIG. 8.

Mesh size and time step independency test. , , , , and . (a) The mesh size is 1/19 of the droplet diameter and the time step is 0.053. (b) The mesh size is 1/27 of the droplet diameter and the time step is 0.038. (c) The mesh size is 1/19 of the droplet diameter and the time step is 0.026.

FIG. 9.

Deformation of a droplet in a simple shear flow at . , , , and . The mesh size is 1/19 of the droplet diameter and the time step is 0.053.

FIG. 10.

Deformation of a droplet in a particulate shear flow. , , , , , , and . The mesh size is 1/24 of the droplet diameter and the time step is 0.042.

FIG. 11.

Deformation of a droplet in a particulate shear flow. , , , , , , and . The mesh size is 1/19 of the droplet diameter and the time step is 0.053.

FIG. 12.

Deformation of a droplet in a particulate shear flow. Dimensionless droplet’s major axis and dimensionless hole size as a function of time. , , , , and .

FIG. 13.

Deformation of a droplet in a particulate shear flow. , , , , , and . The mesh size is 1/19 of the droplet diameter and the time step is 0.1.

FIG. 14.

Deformation of a droplet in a simple shear flow at . , , , and .

FIG. 15.

Deformation of a droplet in a particulate shear flow. , , , , , and . The mesh size is 1/19 of the droplet diameter and the time step is 0.01.

FIG. 16.

Deformation of a droplet in a simple shear flow at . , , , and .

FIG. 17.

Generation of a perforation in the center of a droplet in a particulate shear flow. and .

/content/aip/journal/pof2/21/9/10.1063/1.3205446
2009-09-08
2014-04-19

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