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The impact of deformable interfaces and Poiseuille flow on the thermocapillary instability of three immiscible phases confined in a channel
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10.1063/1.4790878
/content/aip/journal/pof2/25/2/10.1063/1.4790878
http://aip.metastore.ingenta.com/content/aip/journal/pof2/25/2/10.1063/1.4790878

Figures

Image of FIG. 1.
FIG. 1.

(a) Illustration of a droplet/bubble flowing through a channel whose diameter is larger than the height of the channel. (b) Schematic depicting physical system of three immiscible fluids flowing in a channel subjected to a temperature gradient.

Image of FIG. 2.
FIG. 2.

Dispersion curve depicting the effect of interface deformation for = 1000, no base flow, i.e., = 0 on (ω) for (a) a wide range of wave numbers and (b) a closer view of small wave numbers for the air/water/air system, see Table I .

Image of FIG. 3.
FIG. 3.

Dispersion curve depicting the effect of interface deformation for = 1000, no base flow, i.e., = 0 on |(ω)| for small wave numbers for the air/water/air system, parameters given in Table I .

Image of FIG. 4.
FIG. 4.

Neutral stability curve of for a range of wave numbers and different values of . Using the parameters in Table II and = 0.

Image of FIG. 5.
FIG. 5.

Dispersion curve depicting the effect of bulk flow for = 3500 on (a) (ω) and (b) |(ω)|; for a range of wave numbers and a non-deformable interface, = 0 for the air/water/air system, see Table I .

Image of FIG. 6.
FIG. 6.

Dispersion curve depicting the effect of bulk flow for = 3500 (a) on (ω) for a range of wave numbers, (b) a closer examination of small wave numbers, and (c) on |(ω)| considering a deformable interface, i.e., = = 1.212 × 10 for the air/water/air system, see Table I .

Image of FIG. 7.
FIG. 7.

(a) Dispersion curve depicting the effect of depth ratio for = 1000 on (ω). (b) Neutral stability curve of for a range of wave numbers and different values of the depth ratio. Using the parameters in Table I and = 0.

Image of FIG. 8.
FIG. 8.

Neutral stability curve of for a range of wave numbers and different values of the viscosity ratio. Using the parameters in Table II and = 0.

Image of FIG. 9.
FIG. 9.

Neutral stability curve of for a range of wave numbers and different values of the Prandtl number, using the parameters in Table II and = 0.

Tables

Generic image for table
Table I.

Parameters for the case of a film of water sandwiched between two films of air.

Generic image for table
Table II.

Parameters for the case of a film of silicone oil sandwiched between two films of water.

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/content/aip/journal/pof2/25/2/10.1063/1.4790878
2013-02-25
2014-04-16
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: The impact of deformable interfaces and Poiseuille flow on the thermocapillary instability of three immiscible phases confined in a channel
http://aip.metastore.ingenta.com/content/aip/journal/pof2/25/2/10.1063/1.4790878
10.1063/1.4790878
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