The shape of a vertical liquid bridge between arbitrary convex surfaces in axisymmetric case

The solution to the problem on the shape of the lateral surface of a vertical three-dimensional catenoidal liquid bridge of small volume between two arbitrary convex solid surfaces in the axisymmetric case, taking into account the action of gravity, is presented. A variational formulation of the original problem has given. The solution has found by the iteration method under the assumption that the Bond number has been small. The algorithm of iterative process has proposed. The parameters change areas for which there is no uniqueness of the solution to the problem have discovered. It has been established that the maximum number of different profiles of the liquid bridge lateral surface corresponding the single selected set of parameters has equal to four. As an example, the liquid bridge shape problem between two spheres was solved.

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PREDETERMINED CONTROL OF OSCILLATORY THERMOCAPILLARY CONVECTION IN A HALF-ZONE LIQUID BRIDGE

Equipment ◽

10.1615/ihtc13.p7.300 ◽

2006 ◽

Author(s):

S. Uemura ◽

H. Kawamura

Keyword(s):

Liquid Bridge ◽

Thermocapillary Convection

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Heat Transfer Measurements from Concave and Convex Surfaces with a Fully Developed Confined Impinging Slot Jet

Proceedings of the 15th International Heat Transfer Conference ◽

10.1615/ihtc15.ipj.009035 ◽

2014 ◽

Cited By ~ 1

Author(s):

Seong Jung Kim ◽

Yeong Hwan Kim ◽

Hyunjin Park ◽

Dae Hee Lee ◽

Phillip Ligrani

Keyword(s):

Heat Transfer ◽

Convex Surfaces

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Gravity-Modulated Thermo Capillary Convection in a Liquid Bridge

International Journal of Fluid Mechanics Research ◽

10.1615/interjfluidmechres.v32.i6.40 ◽

2005 ◽

Vol 32 (6) ◽

pp. 691-702

Author(s):

K. N. Shukla

Keyword(s):

Liquid Bridge

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Dynamics of Electrodiffusion Friction Probes. I. Shape-Dependent Potentiostatic Transient

Collection of Czechoslovak Chemical Communications ◽

10.1135/cccc19970397 ◽

1997 ◽

Vol 62 (3) ◽

pp. 397-419 ◽

Cited By ~ 3

Author(s):

Ondřej Wein ◽

Václav Sobolík

Keyword(s):

Simple Formula ◽

Flow Direction ◽

Voltage Step ◽

Convex Shape ◽

Exact Theory ◽

Working Electrode ◽

Arbitrary Convex

An exact theory is given of the voltage-step transient under limiting diffusion conditions for an electrodiffusion friction probe of arbitrary convex shape. The actual transient courses are given for the strip, circular, elliptic, triangular, and rectangular probes of any orientation with respect to the flow direction. A simple formula for any probe with a single working electrode of convex shape is suggested to facilitate the calibration of electrodiffusion probes based on the voltage-step transient.

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