"

Cookies ussage consent

Our site saves small pieces of text information (cookies) on your device in order to deliver better content and for statistical purposes. You can disable the usage of cookies by changing the settings of your browser. By browsing our site without changing the browser settings you grant us permission to store that information on your device.

I agree, do not show this message again.

On the creation of a stable and convex static meniscus, appropriate for the growth of a single crystal rod with specified constant radius

S. BALINT1, A. M. BALINT2,*

Affiliation

  1. Faculty of Mathematics and Computer Science
  2. Faculty of Physics, West University of Timisoara, 300223 Timisoara, Bulv. V.Parvan 4, Romania

Abstract

In this paper a theoretical procedure for the creation of a stable static meniscus, appropriate for the growth of a single crystal rod, with a priori specified size (upper radius) and shape (convex), is presented. The method is based on explicit formulas, established as mathematical theorems and combine them for locate the controllable part p of the pressure difference across the free surface in order to create a stable static meniscus with a priori specified size and shape. In fact it consists in a set of calculus which leads to the determination of the melt column height between the shaper top level and the crucible melt level in function of the pressure of the gas flow (introduced in the furnace for release the heat) in order to obtain the desired meniscus. The procedure is presented in general and is numerically illustrated. The numerical illustration reveals situation when convex meniscus can not be created, only convex-concave meniscus exists, which is appropriate for the growth. The novelty is that for the second order axi-symmetric Young-Laplace equation three boundary conditions are specified (instead of two) and that value p of the controllable part of the pressure difference is found for which the boundary conditions are satisfied..

Keywords

Computer simulation, Edge-defined film-fed growth, Stepanov method, Laser.

Submitted at: Feb. 12, 2009
Accepted at: May 28, 2009

Citation

S. BALINT, A. M. BALINT, On the creation of a stable and convex static meniscus, appropriate for the growth of a single crystal rod with specified constant radius, Journal of Optoelectronics and Advanced Materials Vol. 11, Iss. 5, pp. 610-617 (2009)