MATHEMATICAL SIMULATION OF THE PROCESSOF GROUP GROWTH OF CRYSTAL 
STRIPSFROM A MELT BY THE STEPANOV METHODDEPENDING ON THE BEVEL 
ANGLEOF THE OPERATING SURFACE OF SHAPERS

A. V. Zhdanov, S. N. Rossolenko,and V. A. Borodin

UDC 536.421

A mathematical model for determining the hydrodynamics of a melt and impurity
concentration in the process of growing of a packet of sapphire strips by the
Stepanov group method with beveled surfaces of shapers is considered. The
description of the model contains: the Stefan problem, Navier-Stokes equation,
diffusion equation, and Laplace capillary equation. The problems posed were solved
numerically by the method of finite elements.

Institute of Solid-State Physics, Russian Academy of Sciences, Chernogolovka,
Moscow Region, 142432, Russia; email: zhdan@issp.ac.ru. Translated from
Inzhenerno-Fizicheskii Zhurnal, Vol. 79, No. 6, pp. 43-48, November-December, 2006.
Original article submitted July 11, 2005; revision submitted April 28, 2006.