Convection Effects on Radial Segregation and Crystal Melt Interface in Vertical Bridgman Growth

Abstract

We analytically study the influence of convection caused by horizontal heat transfer through the sides of a vertical Bridgman apparatus. We consider the case when the heat transfer across the side walls is small so that the resulting interfacial deformation and fluid velocities are also small. This allows us to linearize the Navier-Stokes equations and express the interfacial conditions about a planar interface through a Taylor expansion. Using a no tangential stress conditions on the side walls, asymptotic expressions for both the interfacial slope and radial segregation at the crystal-melt interface are obtained in closed form in the limit of large thermal Rayleigh number. It is suggested that these can be reduced by appropriately controlling a specific heat transfer property at the edge of the insulation zone in the solid side.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1993
Accession Number
ADA273433

Entities

People

  • S. Tanveer

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Boundary Layer
  • Computational Science
  • Convection
  • Crystal Structure
  • Differential Equations
  • Engineering
  • Equations
  • Fluid Mechanics
  • Heat Energy
  • Heat Transfer
  • Latent Heat
  • Navier Stokes Equations
  • Prandtl Number
  • Reynolds Number
  • Temperature Gradients
  • Thermal Diffusivity
  • Two Dimensional

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Materials Science and Engineering.
  • Thermal Physics or Thermal Science.

Technology Areas

  • Microelectronics