Droplet Solidification and its Effects on Deposit Microstructure in the
Uniform Droplet Spray Process
by
Chen-An Chen
B.S. in Mechanical Engineering
National Chiao-Tung University, Hsin-Chu, Taiwan
1986
M.S. in Mechanical Engineering
Massachusetts Institute of Technology, May 1994
Submitted to the Department of Mechanical Engineering in Partial Fulfillment
of the Requirements for the Degree of
DOCTOR OF PHILOSOPHY IN MECHANICAL ENGINEERING
at the
MASSACHUSETTS INSTITUTE OF TECHNOLOGY
May 1996
ABSTRACT
Spray forming is an alternative to conventional metal-working technology
for the production of material preforms or near-net-shape components. However,
the non-uniform droplets and coupling of process parameters associated
with gas-atomized spray not only make process control difficult, but also
severely limit the range of attainable microstructures. For this reason,
the uniform-droplet spray (UDS) forming process was developed. The uniform
droplet size and uncoupled process parameters allow for simplified modeling
and precise microstructural control.
The microstructure evolution in the UDS process can be divided into three
stages: droplet solidification in flight, droplet impact, and post-impact
evolution. The droplet thermal states, characterized by the degree of undercooling
in undercooled droplets or the liquid fraction and morphology of solids
in partially solidified droplets, have a great influence on droplet impact
behavior and post-impact microstructure evolution. It is the objective
of this work to research how droplet solidification evolves during the
UDS process. A droplet thermal model was developed to study the effects
of various process parameters such as droplet charge, initial droplet velocity,
and droplet size on droplet solidification. Experiments were also performed
to investigate the effects on droplet solidification of flight distance,
droplet size, and oxygen concentration using a Zn-20 wt% Sn alloy. The
effects of droplet thermal state on the deposit microstructure in spray
forming were studied using a Sn-5 wt% Pb alloy.
The droplet thermal model assumes Newtonian cooling in the droplets and
simultaneously computes the droplet flight trajectory and droplet heat
transfer. The Sheil equation was incorporated to model solute redistribution
in the droplet during solidification. Several cases were run to study the
effects of initial droplet velocity, droplet charge, and droplet size on
droplet cooling. 200 5m diameter droplets with three different initial
velocities (3, 5, and 7 m/s) were used to study the initial velocity effects.
The simulation results show that droplets with a higher initial velocity
have a higher cooling rate; however, they appear to have a higher temperature
and liquid fraction when collected at the same flight distance due a quicker
flight. 200 5m diameter droplets with three different droplet charges (2.3
x 10-12 , 4.1 x 10-12 , and 5.8 x 10-12 Coulomb) were used to investigate
the droplet charge effects. The simulation results show that droplet charge
affects droplet cooling mainly by changing the spreading distance, i.e.,
the distance at which the heat transfer coefficient increases dramatically.
For the droplet size effect study, 100, 200, 300 5m droplets with the same
initial velocity (5 m/s) were investigated. The results show that droplet
size is the most critical process parameter in controlling the droplet
cooling rate.
For the flight distance effect study, 288 5m droplets were collected using
carbon steel substrates at every 0.05 m from 0.35 to 0.75 m and 181 5m
droplets were collected from 0.15 to 0.55 m. Scanning electron microscopy
revealed surface morphology and cross-sectional microstructures. The results
showed that the 288 5m droplets solidified gradually without undercooling
and the 181 5m droplets experienced about 110 K undercooling. The cross-section
micrographs of the 288 5m droplet samples were image analyzed to determine
the liquid fraction. These liquid fractions show good agreement with those
derived from the simulation. For the droplet size effect study, 288, 245,
181, and 96 5m droplets were collected at the bottom of the chamber using
an oil bath. The results show that the 288 5m droplets experienced virtually
no undercooling with dendritic microstructure and surface nucleation. Three
types of microstructures were observed for the 245 5m droplets. The first
type is similar to the 288 5m droplet microstructure. About 28% of the
245 5m droplets collected belong to this category. The second type is characterized
by a cellular structure nucleated within the droplet and dendritic structures
solidified after recalescence. About 63% of the 245 5m droplets collected
belong to this category. The third type is defined by a cellular structure
nucleated on the droplet surface and dendritic structures solidified after
recalescence. About 9% of the 245 5m droplets collected belong to this
category. The 181 and 96 5m droplets were all undercooled and internally
nucleated. The percentage of the cellular structure increases and the sizes
of the cells and dendrites decrease when droplet size decreases. Kinetic
competition between different catalysts for nucleation explains why the
population of undercooled droplets, the degree of undercooling, and the
tendency to nucleate internally increase as the droplet size decreases.
For the oxygen effect experiment, 181 5m droplets were sprayed and collected
using an oil bath with the chamber oxygen concentrations maintained at
5, 50, and 100 ppm. No significant difference in the cross-section microstructure
is evident. The droplets are undercooled and internally nucleated.
Seven experiments were performed to study the effects of the droplet thermal
state and the substrate condition on the droplet microstructure by spraying
droplets of 100% liquid with 85 K superheat, 100% liquid with no superheat,
70% liquid, and 40% liquid onto a substrate maintained at 426 and 446 K,
respectively. Droplets with 100% liquid all produced epitaxial columnar
microstructures. With 70% liquid droplets and a 446 K substrate, a fine,
equiaxed, dense microstructure was produced. Porous structures resulted
when 70% liquid droplets were deposited onto a 426 K substrate or when
40% liquid droplets were deposited onto a 446 K substrate. The epitaxial
columnar microstructure resulted because nucleation in the molten splat
was more difficult than the continuous growth of the columnar crystals
into the newly added liquid layer. The equiaxed microstructure evolved
mainly from randomly oriented crystals, which were originally present as
dendrites in the droplets and were re-oriented upon impact. Porous structures
resulted because the degree of droplet spreading was reduced either due
to low liquid content in the droplets or due to high freezing rate resulting
from a relatively cold substrate.
Click
Here For Full Thesis