IJPAM: Volume 75, No. 1 (2012)

PHASE FIELD MODELING OF
MOVING SURFACE ROUGHNESS PROFILE

G.S. Dmitrienko$^1$, L.A. Uvarova$^2$
Department of Applied Mathematics
MSUT STANKIN
3a, Vadkovsky Lane., Moscow, 127055, RUSSIA


Abstract. In this paper we propose a new model of crystallization, in view of deposition of particles on the surface, based on the theory of phase field is considered to be characteristic of this model depending on parameters. Numerically solve the problem of heat transfer with moving boundary. Estimates are given for for the fractal dimension of the sample surface, described by the proposed model. The proposed model can be applied to solve various technical problems.

Received: February 3, 2012

AMS Subject Classification:

Key Words and Phrases: phase-field model, the problem with moving boundary, rough surface

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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2012
Volume: 75
Issue: 1