AeroMat Home      ASM Homepage
Back to "Material and Process Model Development" Search
  Back to "Model Development and Implementation/Validation" Search  Back to Main Search

Tuesday, June 24, 2008 - 4:30 PM

Simplified 2D Transient Modeling of Splat Formation: Application to Zirconia

K. Fataoui, spcts University of Limoges CNRS UMR6638, limoges, France

Since the nineties many works have been devoted to splat formation modeling taking into account the molten droplet impact on to a flat surface, its flattening and solidification occurring during flattening. They were mainly developed by the team of Professor J. Mostaghimi in department of mechanical engineering of the University of Toronto (Canada) and resulted in commercial code Simulent Drop ® The model of Toronto allows calculating particle flattening splashing as well the real contact between splat and smooth substrate. The aim of this work is to test if 2D simplified model allows determining the real contact splat substrate and compare the results with experiments and the results of 3-D model.

This simplified modeling is based on the Navier-Stokes equations, with added term to account for surface tension, including a constant contact angle to describe the transport of mass and momentum. The fluid flow was assumed to be Newtonian, lamina rand incompressible. The normal stress was asserted as the only stress applying to free surface. The equations were discretized by finite elements techniques in 2-D Eulerian structured grid.

The free surface deformation was tracked by level function  used to smooth the density and viscosity jump across the interface between inner droplet ( ) and surrounding atmosphere ( ).

Density, surface tension, viscosity of impacting liquid particle were assumed to be temperature dependent. Fluid flow boundary conditions were no slip and no-penetration at solid surface.

The particle conditions at impact (temperature and velocities for a given diameter) were calculated thanks to the Jets&poudres model [1] with usual zirconia particles plasma spray conditions.

References

[1]   http://Jets.poudres.free.fr

Since the nineties many works have been devoted to splat formation modeling taking into account the molten droplet impact on to a flat surface, its flattening and solidification occurring during flattening. They were mainly developed by the team of Professor J. Mostaghimi in department of mechanical engineering of the University of Toronto (Canada) and resulted in commercial code Simulent Drop ® The model of Toronto allows calculating particle flattening splashing as well the real contact between splat and smooth substrate. The aim of this work is to test if 2D simplified model allows determining the real contact splat substrate and compare the results with experiments and the results of 3-D model.

This simplified modeling is based on the Navier-Stokes equations, with added term to account for surface tension, including a constant contact angle to describe the transport of mass and momentum. The fluid flow was assumed to be Newtonian, lamina rand incompressible. The normal stress was asserted as the only stress applying to free surface. The equations were discretized by finite elements techniques in 2-D Eulerian structured grid.

The free surface deformation was tracked by level function Φ  used to smooth the density and viscosity jump across the interface between inner droplet ( Φ=0) and surrounding atmosphere (Φ=1 ).

Density, surface tension, viscosity of impacting liquid particle were assumed to be temperature dependent. Fluid flow boundary conditions were no slip and no-penetration at solid surface.

The particle conditions at impact (temperature and velocities for a given diameter) were calculated thanks to the Jets&poudres model [1] with usual zirconia particles plasma spray conditions.

References

[1]   http://Jets.poudres.free.fr

Since the nineties many works have been devoted to splat formation modeling taking into account the molten droplet impact on to a flat surface, its flattening and solidification occurring during flattening. They were mainly developed by the team of Professor J. Mostaghimi in department of mechanical engineering of the University of Toronto (Canada) and resulted in commercial code Simulent Drop ® The model of Toronto allows calculating particle flattening splashing as well the real contact between splat and smooth substrate. The aim of this work is to test if 2D simplified model allows determining the real contact splat substrate and compare the results with experiments and the results of 3-D model.

This simplified modeling is based on the Navier-Stokes equations, with added term to account for surface tension, including a constant contact angle to describe the transport of mass and momentum. The fluid flow was assumed to be Newtonian, lamina rand incompressible. The normal stress was asserted as the only stress applying to free surface. The equations were discretized by finite elements techniques in 2-D Eulerian structured grid.

The free surface deformation was tracked by level function  used to smooth the density and viscosity jump across the interface between inner droplet ( ) and surrounding atmosphere ( ).

Density, surface tension, viscosity of impacting liquid particle were assumed to be temperature dependent. Fluid flow boundary conditions were no slip and no-penetration at solid surface.

The particle conditions at impact (temperature and velocities for a given diameter) were calculated thanks to the Jets&poudres model [1] with usual zirconia particles plasma spray conditions.

References

[1]   http://Jets.poudres.free.fr


Summary: Since the nineties many works have been devoted to splat formation modeling taking into account the molten droplet impact on to a flat surface, its flattening and solidification occurring during flattening. They were mainly developed by the team of Professor J. Mostaghimi in department of mechanical engineering of the University of Toronto (Canada) and resulted in commercial code Simulent Drop ® The model of Toronto allows calculating particle flattening splashing as well the real contact between splat and smooth substrate. The aim of this work is to test if 2D simplified model allows determining the real contact splat substrate and compare the results with experiments and the results of 3-D model. This simplified modeling is based on the Navier-Stokes equations, with added term to account for surface tension, including a constant contact angle to describe the transport of mass and momentum. The fluid flow was assumed to be Newtonian, lamina rand incompressible. The normal stress was asserted as the only stress applying to free surface. The equations were discretized by finite elements techniques in 2-D Eulerian structured grid. The free surface deformation was tracked by level function used to smooth the density and viscosity jump across the interface between inner droplet ( ) and surrounding atmosphere ( ). Density, surface tension, viscosity of impacting liquid particle were assumed to be temperature dependent. Fluid flow boundary conditions were no slip and no-penetration at solid surface. Conservation of energy of energy was used to model the heat transfer of the droplet with enthalpy transforming model. At the interface droplet-substrate heat was exchanged by means of heat flux related to droplet and substrate temperature through thermal contact resistance Rth. The latent heat ∆H due to particle solidification was taken into account by replacing the specific heat Cp T by (Cp+D.∆H) where D is defined as a normalized Gaussian pulse centered on the melting temperature Tm with half width dT, such as The particle conditions at impact (temperature and velocities for a given diameter) were calculated thanks to the Jets&poudres model [1] with usual zirconia particles plasma spray conditions. References [1] http://Jets.poudres.free.fr