IMAT 2021 Investigating Temperature Profile in Induction Heated Billets and As-Cast Grain Structure Using Computer Simulation

IMAT 2021 Investigating Temperature Profile in Induction Heated Billets and As-Cast Grain Structure Using Computer Simulation

Information

Authors: Tareq Eddir (Fluxtrol Inc.), Robert C. Goldstein (Fluxtrol Inc.), Robert Haun (Anspanner LLC)
Location/Venue: IMAT 2021 St. Louis, Missouri

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Outline

  • Billet Casters Background
  • Process Description
  • Geometry Description
  • Simulation Description
  • Power Density Results
  • Temperature Results
  • Grain Structure Examples
  • Conclusions and Future Work

Background

  • Additive manufacturing of Ti alloys requires specific powder size ranges
  • Size range of powder production methods is larger than AM techniques can use
  • Oversize or undersize powder fractions are not usable in most applications of components produced by hot isostatic pressing
  • Most oversize or undersize powder is sold as an alloy addition for steel making
  • To recycle oversize or undersize powder for reuse, the powder must be consolidated for EiGA or other drip melting applications
  • Those companies with cold wall induction crucible melting and bottom or tilt pouring equipment can easily remelt out of specification powder

Titanium Alloy Powder

Fluxtrol | IMAT 2021 Investigating Temperature Profile in Induction Heated Billets and As-Cast Grain Structure Using Computer Simulation Figure 1 - Typical titanium aluminide power. It is typical for some of the particles to be broken. Typical titanium aluminide power. It is typical for some of the particles to be broken.

Geometry Description

Fluxtrol | IMAT 2021 Investigating Temperature Profile in Induction Heated Billets and As-Cast Grain Structure Using Computer Simulation Figure 2 - Powder Titanium is deposited from the top onto a billet being slowly pulled. The molten top of the billet (dashed circle) is heated through an induction heating coil. The black arrows indicate current direction in the coil, caster fingers, and load. The fingers are individually water-cooled to extract heat from the Joule losses and heat from transferred from the load. Powder Titanium is deposited from the top onto a billet being slowly pulled. The molten top of the billet (dashed circle) is heated through an induction heating coil. The black arrows indicate current direction in the coil, caster fingers, and load. The fingers are individually water-cooled to extract heat from the Joule losses and heat from transferred from the load.

Mold and Billet Geometry

Fluxtrol | IMAT 2021 Investigating Temperature Profile in Induction Heated Billets and As-Cast Grain Structure Using Computer Simulation Figure 3 - The pictures show the geometry of the mold, load, and coil. The pictures show the geometry of the mold, load, and coil. The mold used for this project's simulation has the following characteristic:
  • 68mm ID
  • 125mm OD
  • 12 fingers and slits
  • Uses soft magnetic composite inserts
  • Has variable height for the study

Simulation Description

Flux 3D FEM software was used for the simulation

  • 3D geometry was used
  • Electromagnetic and thermal physics were used
    • 1725°C maximum temperature was targeted
    • Phase transformation not considered
    • Assumed shape and top of billet position
  • Fluxtrol 100 soft magnetic composite was used for the magntic inserts, rings, and shunts
  • 1/24th of the geometry was modelled using symmetry planes
Fluxtrol | IMAT 2021 Investigating Temperature Profile in Induction Heated Billets and As-Cast Grain Structure Using Computer Simulation Figure 4 - FLux 3D FEM software was used for the simulation

Insert/Coil Height Study

The coil height and was modified to change the length of the melt zone in the load. The bottom insert was moved with the bottom of the coil. A parameter ‘Offset’ was introduced to vary the coil height and bottom insert location.

‘Offset’ is defined by distance between the center of the bottom insert and bottom shunt and the top of the melt OD.

Offset values of 20, 40, 60, 80, 100, 120 mm were used. 120 mm is the original location.

Note: geometry was configured so that below the insert the mold is closed, not slotted.

The coil was changed to a single turn coil for faster solve times.

Fluxtrol | IMAT 2021 Investigating Temperature Profile in Induction Heated Billets and As-Cast Grain Structure Using Computer Simulation Figure 5 - Offset = 40 mm Offset = 40 mm

Initial and Boundary Conditions

The highlighted faces had thermal boundary conditions applied as such: radiation heat transfer using emissivity of 0.75, while convection wasn't added due to vacuum conditions. Conduction to the mold was not considered for this project.

Simulation parameters and goals.
Since steady state temperature is the goal of the investigation, the billet was started at a uniform 1600°C and a maximum temperature of 1725°C was targeted. The simulations were run for 3600s.

Fluxtrol | IMAT 2021 Investigating Temperature Profile in Induction Heated Billets and As-Cast Grain Structure Using Computer Simulation Figure 6 - The highlighted faces had thermal boundary conditions applied as such: radiation heat transfer using emissivity of 0.75, while convection wasn’t added due to vacuum conditions. Conduction to the mold was not considered for this project.

Power Density Results

Fluxtrol | IMAT 2021 Investigating Temperature Profile in Induction Heated Billets and As-Cast Grain Structure Using Computer Simulation Figure 7 - Power Density Results

Temperature Results

Fluxtrol | IMAT 2021 Investigating Temperature Profile in Induction Heated Billets and As-Cast Grain Structure Using Computer Simulation Figure 8 - Temperature Results

Temperature Curves

The two lines shown in the picture (OD and Center) were used to plot the temperature along the length of the billet.

From the withdraw rate of 1kg/min, the size of the billet (34.2 cm3 cross-section), and the axial temperature distribution, the temperature vs time data was calculated as follows:

Fluxtrol | IMAT 2021 Investigating Temperature Profile in Induction Heated Billets and As-Cast Grain Structure Using Computer Simulation Figure 10 - This calculation converts the temperature profile of a static model to a moving temperature profile to better reflect material movement, as seen in actual systems.

This calculation converts the temperature profile of a static model to a moving temperature profile to better reflect material movement, as seen in actual systems.

Fluxtrol | IMAT 2021 Investigating Temperature Profile in Induction Heated Billets and As-Cast Grain Structure Using Computer Simulation Figure 9 - The two lines shown in the picture (OD and Center) were used to plot the temperature along the length of the billet.

Center Temperature vs Time

Fluxtrol | IMAT 2021 Investigating Temperature Profile in Induction Heated Billets and As-Cast Grain Structure Using Computer Simulation Figure 11 - Center Temperature vs Time

OD Temperature vs Time

Fluxtrol | IMAT 2021 Investigating Temperature Profile in Induction Heated Billets and As-Cast Grain Structure Using Computer Simulation Figure 12 - OD Temperature vs Time

Grain Structure Examples

Fluxtrol | IMAT 2021 Investigating Temperature Profile in Induction Heated Billets and As-Cast Grain Structure Using Computer Simulation Figure 13 - Ti 6Al 4V shown in the picture is equiaxed in the center but columnar at the outer edges.
  • Ti 6Al 4V shown in the picture is equiaxed in the center but columnar at the outer edges.
  • The TNM alloy microstructure as-cast is equiaxed rather than columnar
  • Area of future study

As Cast Ingot Examples

Fluxtrol | IMAT 2021 Investigating Temperature Profile in Induction Heated Billets and As-Cast Grain Structure Using Computer Simulation Figure 14 - Photos Curtesy of Hanseatische Waren Handels
  • 127mm diameter titanium aluminide (TNM) ingot produced by cold wall induction ingot withdrawal. Inserts were not used.
  • 53mm diameter titanium aluminide (TNM) ingot produced by cold wall induction ingot withdrawal. Inserts, top and bottom rings, and coil shunts were used.
  • 53mm diameter titanium aluminide (TNM) ingot – same as #2, shown along the axis of the ingot.

Conclusions

  • 3D simulations were made to predict temperature profiles in titanium and titanium alloy billets in billet casters
    • Static temperature profiles were converted to dynamic temperature profiles
    • Simulations were made for different coil heights and offsets
  • Results show increasing the offset between the bottom of the coil and inserts, relative to the top of the billet, results in less rapid loss of temperature in the billet
  • The simulations considered an existing mold design, further optimization can be used to modify the temperature profile
  • Future work will focus on experimental testing to validate the simulation results
  • Future work will also focus on correlating grain structure with temperature profiles
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