# Influence of capillary viscous flow on melting dynamics

@article{Blank2018InfluenceOC, title={Influence of capillary viscous flow on melting dynamics}, author={Michael L. Blank and Prapanch Nair and Thorsten Poschel}, journal={arXiv: Computational Physics}, year={2018} }

The rate of melting of a solid and the rate of deformation of the resulting melt due to capillary forces are comparable in additive manufacturing applications. This dynamic structural change of a melting solid is extremely challenging to study experimentally. Using meshless numerical simulations we show the influence of the flow of the melt on the heat transfer and resulting phase change. We introduce an accurate and robust Incompressible Smoothed Particle Hydrodynamics method to simulate…

## Figures and Tables from this paper

## References

SHOWING 1-10 OF 25 REFERENCES

### New smoothed particle hydrodynamics (SPH) formulation for modeling heat conduction with solidification and melting

- Engineering, Physics
- 2016

ABSTRACT When modeling the phase change, the latent heat released (absorbed) during solidification (melting) must be included in the heat transfer equation. In this paper, different smoothed particle…

### Classical two-phase Stefan problem for spheres

- Mathematics, PhysicsProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
- 2008

The classical Stefan problem for freezing (or melting) a sphere is usually treated by assuming that the sphere is initially at the fusion temperature, so that heat flows in one phase only. Even in…

### Pairwise Force Smoothed Particle Hydrodynamics model for multiphase flow: Surface tension and contact line dynamics

- EngineeringJ. Comput. Phys.
- 2016

### Modeling Low Reynolds Number Incompressible Flows Using SPH

- Physics
- 1997

The method of smoothed particle hydrodynamics (SPH) is extended to model incompressible flows of low Reynolds number. For such flows, modification of the standard SPH formalism is required to…

### Analysis of the incompressibility constraint in the smoothed particle hydrodynamics method

- Engineering
- 2011

Smoothed Particle Hydrodynamics (SPH) is a particle‐based, fully Lagrangian method for fluid‐flow simulations. In this work, fundamental concepts of the method are first briefly recalled. Then, we…

### THE NUMERICAL SOLUTION OF PHASE CHANGE PROBLEMS

- Physics
- 1987

The enthalpy method for heat transfer with change of phase and some numerical experiments with the phase function extension of the enthalpy formulation are discussed. Then the method of lines front…

### On Stefan’s problem for spheres

- MathematicsProceedings of the Royal Society of London. A. Mathematical and Physical Sciences
- 1976

The problem of establishing an asymptotic theory to describe the inward solidification of a sphere, initially molten and at the fusion temperature, has attracted much attention recently. Notably,…