TY - JOUR

T1 - Sphere motion in ordered three-dimensional foams

AU - Davies, I. T.

AU - Cox, Simon

N1 - I.T. Davies and S.J. Cox (2012) Sphere motion in ordered three-dimensional foams. J. Rheol. 56:473-483.

PY - 2012/4/4

Y1 - 2012/4/4

N2 - The effect of the interplay between surface tension and gravity on the sedimentation of objects in
structured fluids is investigated by simulating the quasi-static motion of a spherical particle through
an ordered foam. We describe the path which a sphere takes as it descends through bamboo (1,1,0),
staircase (2,1,1), chiral (3,2,1), and double staircase (4,2,2) foams, and measure the degree of control of the sphere’s motion that each foam offers. For an ordered foam contained within a vertical
cylinder, the resulting sphere motion depends strongly on the structure itself, on how the films are
deformed near the sphere, and on how the motion of the sphere deforms them further. For staircase
and chiral foams, the distance that a sphere is pulled away from the center-line of the cylinder by
the foam is found to depend on the Bond number with a power-law relation. By tilting the cylinder
at an angle to the vertical, we show that there exists a critical tilt angle above which the sphere falls
out of the foam. This angle is dependent on the choice of foam structure and the Bond number. For
a sphere of given size and given Bond number in the ordered foams studied here, the greatest tilt
can be imposed on the double staircase foam

AB - The effect of the interplay between surface tension and gravity on the sedimentation of objects in
structured fluids is investigated by simulating the quasi-static motion of a spherical particle through
an ordered foam. We describe the path which a sphere takes as it descends through bamboo (1,1,0),
staircase (2,1,1), chiral (3,2,1), and double staircase (4,2,2) foams, and measure the degree of control of the sphere’s motion that each foam offers. For an ordered foam contained within a vertical
cylinder, the resulting sphere motion depends strongly on the structure itself, on how the films are
deformed near the sphere, and on how the motion of the sphere deforms them further. For staircase
and chiral foams, the distance that a sphere is pulled away from the center-line of the cylinder by
the foam is found to depend on the Bond number with a power-law relation. By tilting the cylinder
at an angle to the vertical, we show that there exists a critical tilt angle above which the sphere falls
out of the foam. This angle is dependent on the choice of foam structure and the Bond number. For
a sphere of given size and given Bond number in the ordered foams studied here, the greatest tilt
can be imposed on the double staircase foam

U2 - 10.1122/1.3687415

DO - 10.1122/1.3687415

M3 - Article

SN - 0148-6055

VL - 56

SP - 473

EP - 483

JO - Journal of Rheology

JF - Journal of Rheology

IS - 3

ER -