Title :
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
fDate :
8/1/1993 12:00:00 AM
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;
Journal_Title :
Components, Hybrids, and Manufacturing Technology, IEEE Transactions on
