The Growth Behavior of a Particle in an Ambient Flow Field


The pattern and growth behavior of the interface shape evolution of a particle in the undercooled melt influenced by the far field uniform flow is studied. For the case of a small Reynolds number, the asymptotic solution of the interface shape of the particle is obtained by the asymptotic analysis method. The analytic result shows that due to the drag of the convective flow the interface of the sphere further grows relatively. The viscosity effect of the melt makes the interface of the sphere shrink relatively at the two right sides of the sphere. Due to the interaction of viscosity with the flow the interface morphology evolves into an ellipsoid.

  • Abstract
  • Key Words
  • 1 Introduction
  • 2 Physical Background
  • 3 Theoretical Result
  • 4 Conclusions
  • References

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