Shape of a Nonaxisymmetric Liquid Solder Drop Constrained by Parallel Plates

Boris Yost; John McGroarty; Peter Børgesen; Che Yu Li

doi:10.1109/33.239882

Shape of a Nonaxisymmetric Liquid Solder Drop Constrained by Parallel Plates

Boris Yost
, John McGroarty
, Peter Børgesen
, Che Yu Li

School of Sys Sci Ind Engr

Binghamton University

Cornell University

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

26 Scopus citations

Abstract

A differential equation describing the shape of a nonaxisymmetric solder-gas interface in cylindrical coordinates was developed using the Euler-Lagrange method. This equation was solved numerically using the method of finite differences for the geometry of a liquid drop constrained by two parallel circular plates that are separated vertically at a fixed height and displaced in the horizontal direction. For passive alignment applications, the shapes obtained can be used to calculate the restoring force produced by a drop constrained by circular plates when displaced from equilibrium.

Original language	English
Pages (from-to)	523-526
Number of pages	4
Journal	IEEE Transactions on Components, Hybrids, and Manufacturing Technology
Volume	16
Issue number	5
DOIs	https://doi.org/10.1109/33.239882
State	Published - Aug 1993

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10.1109/33.239882

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title = "Shape of a Nonaxisymmetric Liquid Solder Drop Constrained by Parallel Plates",

abstract = "A differential equation describing the shape of a nonaxisymmetric solder-gas interface in cylindrical coordinates was developed using the Euler-Lagrange method. This equation was solved numerically using the method of finite differences for the geometry of a liquid drop constrained by two parallel circular plates that are separated vertically at a fixed height and displaced in the horizontal direction. For passive alignment applications, the shapes obtained can be used to calculate the restoring force produced by a drop constrained by circular plates when displaced from equilibrium.",

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N2 - A differential equation describing the shape of a nonaxisymmetric solder-gas interface in cylindrical coordinates was developed using the Euler-Lagrange method. This equation was solved numerically using the method of finite differences for the geometry of a liquid drop constrained by two parallel circular plates that are separated vertically at a fixed height and displaced in the horizontal direction. For passive alignment applications, the shapes obtained can be used to calculate the restoring force produced by a drop constrained by circular plates when displaced from equilibrium.

AB - A differential equation describing the shape of a nonaxisymmetric solder-gas interface in cylindrical coordinates was developed using the Euler-Lagrange method. This equation was solved numerically using the method of finite differences for the geometry of a liquid drop constrained by two parallel circular plates that are separated vertically at a fixed height and displaced in the horizontal direction. For passive alignment applications, the shapes obtained can be used to calculate the restoring force produced by a drop constrained by circular plates when displaced from equilibrium.

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DO - 10.1109/33.239882

M3 - Article

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ER -

Shape of a Nonaxisymmetric Liquid Solder Drop Constrained by Parallel Plates

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