Mass Transfer Analysis in the Case of the EFG Method

  • Liliana Braescu
  • Thomas F. George
  • Stefan Balint
Conference paper
Part of the Lecture Notes in Electrical Engineering book series (LNEE, volume 28)


The dependence of the Nd3+ ion distribution on the pulling rate v 0 and on the capillary channel radius R cap , in an YVO4 cylindrical bar grown from the melt by the edge-defined film-fed growth (EFG) method with central capillary channel (CCC) shaper and melt replenishment is analyzed. The partial differential equations used for describing the growth process are those of the incompressible Navier-Stokes equations in the Boussinesq approximation and of the convection-conduction and conservative convection-diffusion equations. For a numerical solution, the finite-element numerical technique using COMSOL Multiphysics 3.3 software for a 2D axis-symmetric model is utilized. The Marangoni effect (i.e., surface tension driven flows due to the temperature gradient along the liquid free surface) is taken into account, and for its implementation the weak form of the boundary application mode is employed. The computations are carried out in the stationary case, for different pulling rates and capillary channel radii. The numerical results are compared with the experimental data [1].


Liquid Free Surface Marangoni Effect Capillary Radius Capillary Channel Radial Concentration 
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We are grateful to the North Atlantic Treaty Organisation (Grant CBP.EAP.CLG 982530) for support of this project.


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Copyright information

© Springer Science+Business Media, LLC 2009

Authors and Affiliations

  • Liliana Braescu
    • 1
  • Thomas F. George
    • 2
  • Stefan Balint
  1. 1.Department of Computer ScienceWest University of TimisoaraTimisoara 300223Romania
  2. 2.Office of the Chancellor and Center for NanoscienceDepartments of Chemistry & Biochemistry and Physics and AstronomySt. LouisUSA

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