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IOSR Journal of Mechanical and Civil Engineering (IOSR-JMCE)
e-ISSN: 2278-1684 Volume 6, Issue 1 (Mar. - Apr. 2013), PP 33-37
www.iosrjournals.org
www.iosrjournals.org 33 | Page
Investigation on the Rate of Solidification and Mould Heating in
the Casting of Commercially Pure Aluminium in Permanent
Moulds of varying Thicknesses
K. C. Bala1
, R. H. Khan2
, M. S. Abolarin3
and O. K. Abubakre4
1, 2, 3, 4
Mechanical Engineering Department, Federal University of Technology, P.M.B. 65, Minna, Nigeria
Abstract: The quality of casting in the foundry can be measured by the rate at which solidification of the
molten metal takes place, which is consequent upon the rate the mould, is able to dissipate the heat of
solidification to the surroundings. The faster or slower the heat removal process during solidification the
structure of the grains formed by the casting is either finer of coarser. An experimental investigation was
carried out to compare the rate of solidification of commercially pure aluminium in metallic moulds. The rate at
which solidification occurred was compared with the rate at which the mould absorbed and dissipates heat. The
experiments conducted recorded the temperature fields at different casting location and that of the moulds
respectively. The results showed that there is a direct relation of the rate of heat absorption by the mould and
the rate of solidification in metallic moulds.
Keywords – Aluminium, casting, heat, mould, solidification, temperature.
I. INTRODUCTION
Solidification of casting in permanent (metallic) mould is much faster than in sand mould due to its
high thermal conductivity. The rate of heat transfer is controlled at the interface between the solidifying metal
and the metallic mould where air gap quickly develops [1]. Rate of heat transfer between a solidifying casting
and mould is critical for achievement of a high quality casting. This is especially important in permanent mould
casting where the heat transfer between the casting and the mould are primarily controlled by conditions at the
mould-metal interface. At the metal-mould interface the casting tends to shrink as it solidifies, creating areas
where gaps form between the casting and the mould surface [2]. Solidification involves extraction of heat from
the molten metal thereby transforming it to solid state at the solid-liquid interface. The rate of solidification is
determined mainly by rate of heat extraction through conduction and convection and can be represented using
cooling curves [3].
This research was to study the temperature distribution in aluminium cast as well as that in the metallic
mould during the process of solidification. Solidification phenomenon was investigated from heat transfer
perspective in order to contribute to a better understanding of the solidification process in the casting of
aluminium in permanent moulds. Permanent mould casting is the casting of metals by continually using a re-
useable mould, thus making casting time much shorter than in temporary sand casting. Permanent mould casting
can be gravity die casting; centrifugal casting; and die casting [4]. Metallic moulds are of permanent nature and
are used repeatedly for casting process without getting damaged, unlike sand moulds which are serviceable only
once, as they have to be destroyed to extract the casting. Metallic moulds give superior surface characteristics
and can produce castings to close tolerances, which ensures better mechanical properties, resistance to corrosion
and with distinctive surface finish as against that of sand mould. Rapid solidification nature of permanent mould
permits almost immediate shakeout of castings, greatly reducing production cycle time and improving
mechanical properties of cast parts [5]. A large quantity of small-sized castings, particularly those in aluminium
and magnesium is cast in permanent moulds. In permanent mould casting, the metal and the mould are
practically inert towards each other. Apart from the normal oxidation of the surface of the casting by the air,
there are no significant chemical reactions which are an added advantage of metallic moulds.
1.1PURE METAL SOLIDIFICATION
Pure metals have clearly defined melting or freezing points, and their solidification takes place at a
constant temperature as shown in Fig. 1. Solidification begins at the melting temperature and continues to form
a thermal arrest - a plateau on the cooling curve during the solidification of a material caused by the evolution of
the latent heat of fusion [6].
Investigation on the Rate of Solidification and Mould Heating in the Casting of Commercially Pure
www.iosrjournals.org 34 | Page
Figure 1: Cooling curve for a pure metal.
Due to chilling action of mould wall, a thin skin of solid metal is formed at the interface immediately
after pouring. Randomly oriented grains of small size form near the mold wall, and large columnar grains
oriented toward the centre of the casting form later. The solid-liquid interface moves through the molten metal
from the mould walls inward to the centre. Once solidification has taken place at any point cooling resumes. The
solidified metal, called the casting, is then taken out of the mould and begins to cool to ambient temperature.
II. MATERIALS AND METHOD
Casting process was conducted in a top poured rectangular shaped metallic mould made from low
carbon steel. The mould cavity has length of 100, breadth of 50 mm and a depth of 100mm. Three moulds of
thicknesses 12.5, 25.0 and 37.5 mm were used. The thermophysical properties of metallic moulds are shown in
Table 1.
Table 1. Thermo-physical properties of steel mould [7]
Symbol Properties Values
Kst
Cst
ρst
hst-air
Thermal conductivity (W/m°C)
Specific heat capacity (J/kg°C)
Density (kg/m3
)
Heat transfer coefficient (J/sec m2
°C)
78.2
456
7870
9.93
2.1 EXPERIMENTAL SETUP
Temperature profiles in both the cast and the mould were monitored and recorded with RD8900
paperless digital recorder during the casting experiment by mounting five K-type (Chromel/Alumel)
thermocouples at a depth of 50 mm from the top surface of the mould as shown in Fig. 2. Thermocouples AI1,
AI2 were fixed in the cast, AI3 was fixed at the cast/mould interface, AI4 in the mould, and AI5 fixed in the
mould-air interface.
AI1 - Centre of casting
AI2 - Half cast thickness
AI3 - Metal - Mould interface
AI4 - Half mould thickness
AI5 - Mould-Air interface
Tm
Temperature
Thermal arrest
Superheat
Total solidification time
Local solidification time
Time
Investigation on the Rate of Solidification and Mould Heating in the Casting of Commercially Pure
www.iosrjournals.org 35 | Page
Figure 2: Schematic diagram of experimental setup for rectangular mould
2.2 CHEMICAL COMPOSITION
The casting was made from commercially pure aluminium obtained by melting electrical aluminium
conductors in a resistance furnace. The chemical composition is given in Table 2.
Table 2: Chemical Composition of Commercially Pure Aluminium in Percent
Si Mn S Zn Ni P Al
0.06 0.03 0.002 0.03 0.002 0.03 99.846
2.3MOULDS SPECIFICATION
To investigate the rate of solidification and mould heating, moulds specifications for the rectangular
moulds are shown in Table 3.
Table 3. Dimensions of rectangular moulds and cast
The design of the moulds was done to ensure that unidirectional heat flow is dominant during solidification.
During the experiment all the vertical faces of the mould were exposed, while the top and the bottom were
insulated.
The aluminium conductors were collected and heated in an electric resistance furnace until it melted
and reached a pouring temperature of 720ºC. The pouring temperature was monitored by dipping a K- type
thermocouple connected to digital multimeter as well as using the temperature indicator of the furnace. Ash
from burnt torch batteries as a substitute for a sodium modifier was added during the process of melting. The
molten aluminium in the crucible was poured into the mould cavity within 5 seconds. The moulds were kept at
an initial temperature of 33.6°C and the molten aluminium poured at 720°C. The solidification time for each
thickness was obtained from the plot of graphs from the Paperless Temperature Recorder
III. RESULTS AND DISCUSSION
The experimental results recorded using R8900 digital recorder, are shown in the Fig.3, 4 and 5 that
follows:
Mould wall thickness (mm) Length of Cast (mm) Width of Cast (mm) Depth of Cast
(mm)
12.5
25.0
37.5
100
100
100
50
50
50
100
100
100
Investigation on the Rate of Solidification and Mould Heating in the Casting of Commercially Pure
www.iosrjournals.org 36 | Page
Time (sec)
Figure 3: Cooling and heating curves at varying aluminium cast and mould locations for 12.5mm thick
rectangular metallic mould for the solidification of commercially pure aluminium
Time (sec)
Figure 4: Cooling and heating curves at varying aluminium cast and mould locations for 25.0mm thick
rectangular metallic mould for the solidification of commercially pure aluminium
Time (sec)
Figure 5: Cooling and heating curves at varying aluminium cast and mould locations for 37.5mm thick
rectangular metallic mould for the solidification of commercially pure aluminium.
Fig. 3, 4 and 5 give the solidification (cooling curves) of the aluminium cast and the mould heating
curves during the casting process using the commercially pure aluminium of 99.846% in rectangular moulds of
thicknesses of 12.5, 25.0, and 37.5mm respectively. A close examination of the cooling curves shows that at the
metal/mould interface the temperatures continue to fall rapidly for several degrees and thereafter relatively
slowly. At the centre of the aluminium cast, the liquid aluminium metal cools quickly to the freezing
temperature of approximately constant temperature of 655.5°C for the three mould thicknesses. There is a
Temperature(°C)Temperature(°C)
Temperature(°C)
Centre of Cast
50mm into cast
Metal-Mould Interface
Half Mould Thickness
Mould-Air Interface
Centre of Cast
50mm into cast
Metal-Mould Interface
Half Mould Thickness
Mould-Air Interface
Centre of Cast
50mm into cast
Metal-Mould Interface
Half Mould Thickness
Mould-Air Interface
Investigation on the Rate of Solidification and Mould Heating in the Casting of Commercially Pure
www.iosrjournals.org 37 | Page
measurable thermal arrest at this location indicating the solidification time of the aluminium cast. Table 3
presents the solidification time of the aluminium cast increasing as the mould thickness increases. This indicates
that the solidification period is longer in thicker moulds.
Table 3: Variation of Solidification Time with Mould Thickness in Rectangular Mould for
Commercially Pure Aluminium
Mould Temperature
(°C)
Pouring Temperature
(°C)
Mould Thickness
(mm)
Solidification Time
(seconds)
33.6
33.6
33.6
720
720
720
12.5
25.0
37.5
22.8
26.4
28.8
From the results of Table 3, the moulds were kept at an initial temperature of 33.6°C and the molten
aluminium poured at 720°C. The solidification time for each thickness was obtained from the plot of graphs
from the paperless temperature recorder at the point when the solidified aluminium cast started reducing in
temperature from the constant value of fusion temperature.
The mould heating curves as obtained at the mould/air interface and half mould thickness are shown in
Fig. 3, 4 and 5. Temperature rises rapidly in the 12.5mm thick mould of Fig. 3 from the beginning of
solidification until it reached a maximum value, it then start decreasing. Whereas a progressive rise in
temperature is observed for the thicker moulds of 25.0mm and 37.5mm as indicated in Fig. 4 and Fig. 5, the
temperature increase to a maximum point and then remain slightly constant indicating slow extraction of heat.
IV. CONCLUSION
A commercially pure aluminium casting experiment was carried out in order to investigate the rate of
solidification as well as the rate of heat transfer between the metallic mould and the cast. It is observed that as
soon as the aluminium metal was poured into the moulds, the temperature falls rapidly for several degrees and
thereafter relatively slowly. The sudden change in the rate of fall in temperature indicates undercooling at the
interface. This undercooling is attributed to the latent heat of fusion released when solidification began at the
mould wall and was completed at the interface almost instantaneously. Temperature rises rapidly in the 12.5mm
thick mould from the beginning of solidification until it reached a maximum value, it then start decreasing.
Whereas a progressive rise in temperature is observed for the thicker moulds of 25.0mm and 37.5mm the
temperature increase to a maximum point and then remain slightly constant indicating slow extraction of heat.
The investigation showed that thinner moulds had higher rate of heat extraction and therefore higher rate of
solidification.
Acknowledgements
We acknowledge the contribution of the Science and Technology Education Post-Basic (STEP-B) Project of the Federal Ministry
of Education of Nigeria for the award of Innovators of Tomorrow (IOT) grant which enabled the acquisition of instruments for the
experiments.
REFERENCES
[1] K. C. Bala and R. H. Khan, Experimental Determination of the Effect of Mould Thickness on the Solidification Time of Aluminium
Alloy (Al-Mn-Ni -Si) Casting in Rectangular Metallic Moulds, International Journal of Engineering Research & Technology, 2(3),
2013, 1-6
[2] K. C. Bala, Simulation of Solidification of Aluminium Casting in Metallic Mould, doctoral diss., Mechanical Engineering Department,
Federal University of Technology, Minna, Nigeria, 2012.
[3] R. E. P. DeGarmo, J. T. and R. A. Kohser, Materials and Processes in Manufacturing (New York, John Wiley & Sons, 2010).
[4] P. L. Jain, Principles of Foundry Technology (London: McGraw-Hill, 2003).
[5] Y. S. Lerner, Permanent Mold Casting of Ductile Iron, Journal of Foundry Management & Technology, 131(10), 2003, 18 – 22.
[6] R. Swarnkar, R. Kumar, R. M. Paswan, S. Singh, and V. Goyal, Modelling of Heat Transfer in Solidification Process. Term Paper
Report, Department of Mechanical Engineering, Indian Institute of Technology, Guwahati, 2004.
[7] C. A. Santos, J. M. V. Quaresma, and A. Gracia, Determination of Transient Interfacial Heat Transfer Coefficients in Chill Mold
Castings, Journal of Alloys and Compounds, 3(19), 2001, 174 – 186.

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Investigation on the Rate of Solidification and Mould Heating in the Casting of Commercially Pure Aluminium in Permanent Moulds of varying Thicknesses

  • 1. IOSR Journal of Mechanical and Civil Engineering (IOSR-JMCE) e-ISSN: 2278-1684 Volume 6, Issue 1 (Mar. - Apr. 2013), PP 33-37 www.iosrjournals.org www.iosrjournals.org 33 | Page Investigation on the Rate of Solidification and Mould Heating in the Casting of Commercially Pure Aluminium in Permanent Moulds of varying Thicknesses K. C. Bala1 , R. H. Khan2 , M. S. Abolarin3 and O. K. Abubakre4 1, 2, 3, 4 Mechanical Engineering Department, Federal University of Technology, P.M.B. 65, Minna, Nigeria Abstract: The quality of casting in the foundry can be measured by the rate at which solidification of the molten metal takes place, which is consequent upon the rate the mould, is able to dissipate the heat of solidification to the surroundings. The faster or slower the heat removal process during solidification the structure of the grains formed by the casting is either finer of coarser. An experimental investigation was carried out to compare the rate of solidification of commercially pure aluminium in metallic moulds. The rate at which solidification occurred was compared with the rate at which the mould absorbed and dissipates heat. The experiments conducted recorded the temperature fields at different casting location and that of the moulds respectively. The results showed that there is a direct relation of the rate of heat absorption by the mould and the rate of solidification in metallic moulds. Keywords – Aluminium, casting, heat, mould, solidification, temperature. I. INTRODUCTION Solidification of casting in permanent (metallic) mould is much faster than in sand mould due to its high thermal conductivity. The rate of heat transfer is controlled at the interface between the solidifying metal and the metallic mould where air gap quickly develops [1]. Rate of heat transfer between a solidifying casting and mould is critical for achievement of a high quality casting. This is especially important in permanent mould casting where the heat transfer between the casting and the mould are primarily controlled by conditions at the mould-metal interface. At the metal-mould interface the casting tends to shrink as it solidifies, creating areas where gaps form between the casting and the mould surface [2]. Solidification involves extraction of heat from the molten metal thereby transforming it to solid state at the solid-liquid interface. The rate of solidification is determined mainly by rate of heat extraction through conduction and convection and can be represented using cooling curves [3]. This research was to study the temperature distribution in aluminium cast as well as that in the metallic mould during the process of solidification. Solidification phenomenon was investigated from heat transfer perspective in order to contribute to a better understanding of the solidification process in the casting of aluminium in permanent moulds. Permanent mould casting is the casting of metals by continually using a re- useable mould, thus making casting time much shorter than in temporary sand casting. Permanent mould casting can be gravity die casting; centrifugal casting; and die casting [4]. Metallic moulds are of permanent nature and are used repeatedly for casting process without getting damaged, unlike sand moulds which are serviceable only once, as they have to be destroyed to extract the casting. Metallic moulds give superior surface characteristics and can produce castings to close tolerances, which ensures better mechanical properties, resistance to corrosion and with distinctive surface finish as against that of sand mould. Rapid solidification nature of permanent mould permits almost immediate shakeout of castings, greatly reducing production cycle time and improving mechanical properties of cast parts [5]. A large quantity of small-sized castings, particularly those in aluminium and magnesium is cast in permanent moulds. In permanent mould casting, the metal and the mould are practically inert towards each other. Apart from the normal oxidation of the surface of the casting by the air, there are no significant chemical reactions which are an added advantage of metallic moulds. 1.1PURE METAL SOLIDIFICATION Pure metals have clearly defined melting or freezing points, and their solidification takes place at a constant temperature as shown in Fig. 1. Solidification begins at the melting temperature and continues to form a thermal arrest - a plateau on the cooling curve during the solidification of a material caused by the evolution of the latent heat of fusion [6].
  • 2. Investigation on the Rate of Solidification and Mould Heating in the Casting of Commercially Pure www.iosrjournals.org 34 | Page Figure 1: Cooling curve for a pure metal. Due to chilling action of mould wall, a thin skin of solid metal is formed at the interface immediately after pouring. Randomly oriented grains of small size form near the mold wall, and large columnar grains oriented toward the centre of the casting form later. The solid-liquid interface moves through the molten metal from the mould walls inward to the centre. Once solidification has taken place at any point cooling resumes. The solidified metal, called the casting, is then taken out of the mould and begins to cool to ambient temperature. II. MATERIALS AND METHOD Casting process was conducted in a top poured rectangular shaped metallic mould made from low carbon steel. The mould cavity has length of 100, breadth of 50 mm and a depth of 100mm. Three moulds of thicknesses 12.5, 25.0 and 37.5 mm were used. The thermophysical properties of metallic moulds are shown in Table 1. Table 1. Thermo-physical properties of steel mould [7] Symbol Properties Values Kst Cst ρst hst-air Thermal conductivity (W/m°C) Specific heat capacity (J/kg°C) Density (kg/m3 ) Heat transfer coefficient (J/sec m2 °C) 78.2 456 7870 9.93 2.1 EXPERIMENTAL SETUP Temperature profiles in both the cast and the mould were monitored and recorded with RD8900 paperless digital recorder during the casting experiment by mounting five K-type (Chromel/Alumel) thermocouples at a depth of 50 mm from the top surface of the mould as shown in Fig. 2. Thermocouples AI1, AI2 were fixed in the cast, AI3 was fixed at the cast/mould interface, AI4 in the mould, and AI5 fixed in the mould-air interface. AI1 - Centre of casting AI2 - Half cast thickness AI3 - Metal - Mould interface AI4 - Half mould thickness AI5 - Mould-Air interface Tm Temperature Thermal arrest Superheat Total solidification time Local solidification time Time
  • 3. Investigation on the Rate of Solidification and Mould Heating in the Casting of Commercially Pure www.iosrjournals.org 35 | Page Figure 2: Schematic diagram of experimental setup for rectangular mould 2.2 CHEMICAL COMPOSITION The casting was made from commercially pure aluminium obtained by melting electrical aluminium conductors in a resistance furnace. The chemical composition is given in Table 2. Table 2: Chemical Composition of Commercially Pure Aluminium in Percent Si Mn S Zn Ni P Al 0.06 0.03 0.002 0.03 0.002 0.03 99.846 2.3MOULDS SPECIFICATION To investigate the rate of solidification and mould heating, moulds specifications for the rectangular moulds are shown in Table 3. Table 3. Dimensions of rectangular moulds and cast The design of the moulds was done to ensure that unidirectional heat flow is dominant during solidification. During the experiment all the vertical faces of the mould were exposed, while the top and the bottom were insulated. The aluminium conductors were collected and heated in an electric resistance furnace until it melted and reached a pouring temperature of 720ºC. The pouring temperature was monitored by dipping a K- type thermocouple connected to digital multimeter as well as using the temperature indicator of the furnace. Ash from burnt torch batteries as a substitute for a sodium modifier was added during the process of melting. The molten aluminium in the crucible was poured into the mould cavity within 5 seconds. The moulds were kept at an initial temperature of 33.6°C and the molten aluminium poured at 720°C. The solidification time for each thickness was obtained from the plot of graphs from the Paperless Temperature Recorder III. RESULTS AND DISCUSSION The experimental results recorded using R8900 digital recorder, are shown in the Fig.3, 4 and 5 that follows: Mould wall thickness (mm) Length of Cast (mm) Width of Cast (mm) Depth of Cast (mm) 12.5 25.0 37.5 100 100 100 50 50 50 100 100 100
  • 4. Investigation on the Rate of Solidification and Mould Heating in the Casting of Commercially Pure www.iosrjournals.org 36 | Page Time (sec) Figure 3: Cooling and heating curves at varying aluminium cast and mould locations for 12.5mm thick rectangular metallic mould for the solidification of commercially pure aluminium Time (sec) Figure 4: Cooling and heating curves at varying aluminium cast and mould locations for 25.0mm thick rectangular metallic mould for the solidification of commercially pure aluminium Time (sec) Figure 5: Cooling and heating curves at varying aluminium cast and mould locations for 37.5mm thick rectangular metallic mould for the solidification of commercially pure aluminium. Fig. 3, 4 and 5 give the solidification (cooling curves) of the aluminium cast and the mould heating curves during the casting process using the commercially pure aluminium of 99.846% in rectangular moulds of thicknesses of 12.5, 25.0, and 37.5mm respectively. A close examination of the cooling curves shows that at the metal/mould interface the temperatures continue to fall rapidly for several degrees and thereafter relatively slowly. At the centre of the aluminium cast, the liquid aluminium metal cools quickly to the freezing temperature of approximately constant temperature of 655.5°C for the three mould thicknesses. There is a Temperature(°C)Temperature(°C) Temperature(°C) Centre of Cast 50mm into cast Metal-Mould Interface Half Mould Thickness Mould-Air Interface Centre of Cast 50mm into cast Metal-Mould Interface Half Mould Thickness Mould-Air Interface Centre of Cast 50mm into cast Metal-Mould Interface Half Mould Thickness Mould-Air Interface
  • 5. Investigation on the Rate of Solidification and Mould Heating in the Casting of Commercially Pure www.iosrjournals.org 37 | Page measurable thermal arrest at this location indicating the solidification time of the aluminium cast. Table 3 presents the solidification time of the aluminium cast increasing as the mould thickness increases. This indicates that the solidification period is longer in thicker moulds. Table 3: Variation of Solidification Time with Mould Thickness in Rectangular Mould for Commercially Pure Aluminium Mould Temperature (°C) Pouring Temperature (°C) Mould Thickness (mm) Solidification Time (seconds) 33.6 33.6 33.6 720 720 720 12.5 25.0 37.5 22.8 26.4 28.8 From the results of Table 3, the moulds were kept at an initial temperature of 33.6°C and the molten aluminium poured at 720°C. The solidification time for each thickness was obtained from the plot of graphs from the paperless temperature recorder at the point when the solidified aluminium cast started reducing in temperature from the constant value of fusion temperature. The mould heating curves as obtained at the mould/air interface and half mould thickness are shown in Fig. 3, 4 and 5. Temperature rises rapidly in the 12.5mm thick mould of Fig. 3 from the beginning of solidification until it reached a maximum value, it then start decreasing. Whereas a progressive rise in temperature is observed for the thicker moulds of 25.0mm and 37.5mm as indicated in Fig. 4 and Fig. 5, the temperature increase to a maximum point and then remain slightly constant indicating slow extraction of heat. IV. CONCLUSION A commercially pure aluminium casting experiment was carried out in order to investigate the rate of solidification as well as the rate of heat transfer between the metallic mould and the cast. It is observed that as soon as the aluminium metal was poured into the moulds, the temperature falls rapidly for several degrees and thereafter relatively slowly. The sudden change in the rate of fall in temperature indicates undercooling at the interface. This undercooling is attributed to the latent heat of fusion released when solidification began at the mould wall and was completed at the interface almost instantaneously. Temperature rises rapidly in the 12.5mm thick mould from the beginning of solidification until it reached a maximum value, it then start decreasing. Whereas a progressive rise in temperature is observed for the thicker moulds of 25.0mm and 37.5mm the temperature increase to a maximum point and then remain slightly constant indicating slow extraction of heat. The investigation showed that thinner moulds had higher rate of heat extraction and therefore higher rate of solidification. Acknowledgements We acknowledge the contribution of the Science and Technology Education Post-Basic (STEP-B) Project of the Federal Ministry of Education of Nigeria for the award of Innovators of Tomorrow (IOT) grant which enabled the acquisition of instruments for the experiments. REFERENCES [1] K. C. Bala and R. H. Khan, Experimental Determination of the Effect of Mould Thickness on the Solidification Time of Aluminium Alloy (Al-Mn-Ni -Si) Casting in Rectangular Metallic Moulds, International Journal of Engineering Research & Technology, 2(3), 2013, 1-6 [2] K. C. Bala, Simulation of Solidification of Aluminium Casting in Metallic Mould, doctoral diss., Mechanical Engineering Department, Federal University of Technology, Minna, Nigeria, 2012. [3] R. E. P. DeGarmo, J. T. and R. A. Kohser, Materials and Processes in Manufacturing (New York, John Wiley & Sons, 2010). [4] P. L. Jain, Principles of Foundry Technology (London: McGraw-Hill, 2003). [5] Y. S. Lerner, Permanent Mold Casting of Ductile Iron, Journal of Foundry Management & Technology, 131(10), 2003, 18 – 22. [6] R. Swarnkar, R. Kumar, R. M. Paswan, S. Singh, and V. Goyal, Modelling of Heat Transfer in Solidification Process. Term Paper Report, Department of Mechanical Engineering, Indian Institute of Technology, Guwahati, 2004. [7] C. A. Santos, J. M. V. Quaresma, and A. Gracia, Determination of Transient Interfacial Heat Transfer Coefficients in Chill Mold Castings, Journal of Alloys and Compounds, 3(19), 2001, 174 – 186.