Liu Jian-Lin 2009 Chinese Phys. Lett. 26 116803 doi:10.1088/0256-307X/26/11/116803
Liu Jian-Lin
Show affiliationsSystematic and quantitative analyses of exact analogies between a meniscus and an elastica are performed. It is shown that the two governing equations take the same style after coordinate translation and scale transformation. The morphologies of the liquid bridge and the cantilever are calculated in terms of elliptic integrations, which can be reduced to the same shape after converting the boundary conditions. The present analyses can make us grasp the nature of this physical phenomenon deeply and show some inspiration for designing the analogy experiments. Moreover, the calculated results are helpful to engineering applications, such as design and fabrication of MEMS, and micro-manipulations in micro/nano-technology.
68.03.Cd Surface tension and related phenomena
85.85.+j Micro- and nano-electromechanical systems (MEMS/NEMS) and devices
Soft matter, liquids and polymers
Issue 11 (November 2009)
Received 8 June 2009
Liu Jian-Lin 2009 Chinese Phys. Lett. 26 116803
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