Modeling of Deposit Solidification in Droplet Based Manufacturing

by

Paul J. Acquaviva



B.S. in Mechanical Engineering 
Clarkson University
1989 

Massachusetts Institute of Technology, May 1994 

Submitted to the Department of Mechanical Engineering in Partial Fulfillment of the Requirements for the Degree of 



MASTER OF SCIENCE IN MECHANICAL ENGINEERING

at the 



MASSACHUSETTS INSTITUTE OF TECHNOLOGY


May 1995 





ABSTRACT


The uniform droplet spray (UDS) forming process has been developed to enable precise control of droplet thermal states and the resultant material microstructure of the deposit. By having a uniform droplet size throughout the spray, all the droplets deposited onto a substrate will have the same thermal state upon impact, allowing for precise control of the solidification process within both the droplets and the deposit.

In this study, a one-dimensional, finite difference model was created to predict the temperature and liquid fraction of the deposit during the UDS process. The model employs an explicit temperature-enthalpy method to incorporate a variety of solidification assumptions. Experiments were conducted using Sn-15wt.%Pb binary alloy to validate the model. Temperatures were measured in the deposit and acceptable agreement with the simulation was obtained.

Modeling has shown that the deposit thermal state is highly dependent on variations in spray conditions, which are predicted using droplet trajectory and droplet thermal models. Further modeling of the individual droplet splats immediately after impact revealed that three phases of solidification exist: droplet solidification; droplet splat solidification; and consolidated deposit solidification, each with significantly different cooling rates. By manipulating process parameters, the percentage of solidification within each of these three stages can be shifted, resulting in changes in final microstructure. By using the deposit thermal model, the relationship between process parameters and solidification behavior can be understood to obtain the desired microstructure and material properties.
 
 
 

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