The solidification of metals continues to be a
phenomenon of great interest to physicists, metallurgists, casting
engineers and software developers. It directly affects the production
cycle time, internal quality of castings and material utilization
(yield). We will briefly review the solidification phenomenon in
castings and focus on three major influencing factors affecting:
freezing range, cooling rate and thermal gradient. Finally, we will list
the different types of solidification shrinkage related defects and see
why it is important to achieve controlled progressive directional
solidification.
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Solidification Phenomenon |
When molten metal enters a mould cavity, its heat is absorbed by and
transferred through the mould wall. In the case of pure metals and
eutectics, the solidification proceeds layerby- layer (like onion
shells) starting from the mould wall and proceeding inwards. The moving
isothermal interface between the liquid and solid region is called the
solidification front. As the front solidifies, it contracts in volume,
and draws molten metal from the adjacent (inner) liquid layer. When the
solidification front reaches the innermost region or the hot spot, there
is no more liquid metal left and a void called shrinkage cavity, is
formed . This is avoided by attaching a feeder designed to solidify
later than the hot spot. The shrinkage cavity shifts to the feeder,
which is cut off after casting solidification and recycled.
Understanding the solidification phenomenon will help us in predicting
the type and location of shrinkage defects, and in overcoming them
successfully by appropriate design of feeders.
Casting solidification in a mould
The temperature history of a location inside the casting with respect
to the neighbouring locations governs the formation of shrinkage cavity
as well as the macrostructure. This is difficult to determine even for a
simple shape, since all modes of heat transfer are involved during
casting solidification: by convection within the molten metal; by
conduction in the solidified portion of the casting; by convection and
radiation at the metal-mould interface; and by conduction in the mould
material. Also, the release of latent heat has to be addressed; it
increases the casting temperature at that instant and location, and has
the effect of delaying the solidification.
The most important factor affecting the rate of heat transfer from the
casting to the mould is the interface heat transfer coefficient. It
depends on the thickness of the oxide layer and the air gap at the
interface. Both are not constant, but gradually grow during casting
solidification. The air gap depends on the amount of gas generated (and
retained) after metal-mould reaction, the roughness of the mould surface
and the expansion of the mould and cores. The air gap is more at
external surfaces at the top of the mould, and it grows till the end of
solidification.
Let us study three important factors that govern the solidification
characteristics of castings: freezing range (F), thermal gradients (G)
and cooling rate (R). As we will see, these factors are primarily
influenced by the casting metal, process and geometry, respectively.

Solidification shrinkage related defects: top row- macro porosity
(left and right);
middle- porosity (left) and sink (right); bottom- corner shrinkage
(left) and crack (right).
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Feeder Location and Shape |
Feeders are designed to compensate the solidification shrinkage of a
casting, so that it is free of shrinkage porosity. Feeder design
parameters include the number, location, shape and dimensions of
feeders. We will first review the concept of feed path and feeding
distance, which influence the location and number of feeders. Different
options for feeder position, type and shape are described, followed by
the design criteria for determining the dimensions of feeder and its
neck, and finally the design of feedaids.
The direction of solidification inside a casting starts from end
regions that solidify first, to intermediate regions, and ends at the
last freezing regions. The feed metal flows in the reverse direction:
from regions at a higher temperature (containing liquid metal) to
adjacent solidifying regions. The entire path, starting from a local hot
spot to an end region is referred to as the feed path. It follows that
any intermediate point on a feed path has only one adjacent point with a
higher temperature. The exception is the hot spot, which is a local
temperature maxima. The hot spot effectively feeds all regions along the
feed paths starting from it. Ideally, the hot spot must be inside a
feeder, so that the casting is defect-free. The distance from a feeder
to the farthest point along the feed path is referred to as the feeding
distance.
Several researchers such as Pellini and Bishop have experimentally
established the relationship between feeding distance and section
thickness for simple shaped steel castings in sand moulds. The feeding
distance is represented by two terms: feeder effect and end effect. For
steel plate castings in sand moulds, the total feeding distance is given
by 4.5 t (from the edge of feeder), where t is the section thickness. Of
this, the feeder effect is 2 t and end effect is 2.5 t. Other
researchers have expressed feeding distance in terms of modulus instead
of thickness. The feeding distance is not very well established for
other metals, particularly long freezing range alloys, and does not
appear to directly relate to section thickness (as in the case of steel
plate castings).
In complex shaped castings, it is difficult to estimate the feeding
distance by the above relationships. One way to overcome this is by
dividing the casting into a number of simple shaped regions and
calculating the modulus of each (the ratio of volume to cooling surface
area). If two adjacent regions have different modulus, then the one with
the higher modulus may be assumed to feed the adjacent region.
The shape of the feeder neck depends on the feeder shape, feeder
position and the connected portion of the casting. The most widely used
neck shapes are cylindrical (for top cylindrical feeders) and
rectangular (mainly for side feeders). The neck may be tapered down
towards the casting. A single or double V-notch may be included in the
neck to facilitate fettling. This does not affect the neck modulus (or
its solidification time) because of low heat transfer from the sharp
reentrant corner.
Another major feeder design parameter is the use of insulating or
exothermic sleeves and covers. They essentially increase the effective
modulus of the feeder, so that a smaller feeder can be used and the
yield is increased. The shape of the feedaid depends on the feeder
shape. Often the reverse is true, since feedaids are available in
standard shape/size.

Simple casting with feeder; middle: directional solidification (feed
paths);
bottom: progressive solidification in the central section.