Meniscus Height

This program calculates height of meniscus in Czochralski process by solving Euler-Laplace equation

MeniscusHeight function calculates normed (so it doesn't matter which substance is the melt) height of meniscus for specified values of normed meniscus radius and slope angle.
MeniscusHeightGrid makes a grid of meniscus heights for arrays of radii and slope angles (actually it's just cycle of MeniscusHeight)
PlotMeniscusHeight is a script which builds a surface of numerically calculated (with previous functions obviously) height of meniscus depending of meniscus radius and slope angle (builds what we got with MeniscusHeightGrid for specified intervals of radii and angles) as well as surfaces of the same dependence but calculated with analytical equations by Tsivinskii and Boucher and their differences for comparison.
The whole stuff is based primarily on Mika and Uelhopf article called "Shape and stability of menisci in Czochralski growth and comparison with analytical approximations".