Motion of an inclined plate supported by a sessile two-dimensional drop

S. N. Reznik; E. Zussman; A. L. Yarin

doi:10.1063/1.1426105

Motion of an inclined plate supported by a sessile two-dimensional drop

S. N. Reznik, E. Zussman, A. L. Yarin

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

Abstract

Motion of an inclined plate supported by a two-dimensional sessile drop on a second plate is studied in the inertialess approximation. It is shown that the upper plate can be equilibrated horizontally, parallel to the lower plate supporting the drop, when the Bond number exceeds a certain threshold value. The dependence of this threshold value on the parameters of the plate and liquid is found and discussed. Small oscillations of the plate near its equilibrium horizontal position on top of the drop are investigated analytically in the case of low liquid viscosity. The periods of the vertical (translational) and angular oscillations are determined. Comparison with experimental data demonstrates reasonable agreement between the characteristic times of the process predicted analytically and observed experimentally.

Original language	English
Pages (from-to)	107-117
Number of pages	11
Journal	Physics of Fluids
Volume	14
Issue number	1
DOIs	https://doi.org/10.1063/1.1426105
Publication status	Published - 2002 Jan

ASJC Scopus subject areas

Computational Mechanics
Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering
Fluid Flow and Transfer Processes

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10.1063/1.1426105

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abstract = "Motion of an inclined plate supported by a two-dimensional sessile drop on a second plate is studied in the inertialess approximation. It is shown that the upper plate can be equilibrated horizontally, parallel to the lower plate supporting the drop, when the Bond number exceeds a certain threshold value. The dependence of this threshold value on the parameters of the plate and liquid is found and discussed. Small oscillations of the plate near its equilibrium horizontal position on top of the drop are investigated analytically in the case of low liquid viscosity. The periods of the vertical (translational) and angular oscillations are determined. Comparison with experimental data demonstrates reasonable agreement between the characteristic times of the process predicted analytically and observed experimentally.",

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AB - Motion of an inclined plate supported by a two-dimensional sessile drop on a second plate is studied in the inertialess approximation. It is shown that the upper plate can be equilibrated horizontally, parallel to the lower plate supporting the drop, when the Bond number exceeds a certain threshold value. The dependence of this threshold value on the parameters of the plate and liquid is found and discussed. Small oscillations of the plate near its equilibrium horizontal position on top of the drop are investigated analytically in the case of low liquid viscosity. The periods of the vertical (translational) and angular oscillations are determined. Comparison with experimental data demonstrates reasonable agreement between the characteristic times of the process predicted analytically and observed experimentally.

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Motion of an inclined plate supported by a sessile two-dimensional drop

Abstract

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