Shape of a nonaxisymmetric liquid solder drop constrained by parallel plates

Author

Yost, Boris ; McGroarty, John ; Borgesen, Peter ; Li, Che-Yu

Author_Institution

Dept. of Mater. Sci. & Eng., Cornell Univ., Ithaca, NY, USA

Volume

16

Issue

5

fYear

1993

fDate

8/1/1993 12:00:00 AM

Firstpage

523

Lastpage

526

Abstract

A differential equation describing the shape of a nonaxisymmetric solder-gas interface in cylindrical coordinates is developed using the Euler-Lagrange method. This equation is 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

Keywords

differential equations; drops; finite difference methods; interface phenomena; soldering; Euler-Lagrange method; cylindrical coordinates; differential equation; finite differences; nonaxisymmetric liquid solder drop; nonaxisymmetric solder-gas interface; optoelectronic packaging; parallel circular plates; passive alignment applications; restoring force; Difference equations; Differential equations; Finite difference methods; Geometry; Helium; Integral equations; Rough surfaces; Shape; Soldering; Surface roughness;

fLanguage

English

Journal_Title

Components, Hybrids, and Manufacturing Technology, IEEE Transactions on

Publisher

ieee

ISSN

0148-6411

Type

jour

DOI

10.1109/33.239882

Filename

239882