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COMPUTER SIMULATION OF SQUEEZE CASTING PROCESS
USING FLOW 3DVinay V.N
M.Tech (IC engines and Turbomachinery)
GovernmentEngineeringCollegeThrissur,Kerala.India
vinayvn90@gmail
Keywords: Squeeze casting, heat transfercoefficient,wall to fluid heat flux,Magnessiumalloy AM60
Abstract
The aim of this thesis to investigate
solidification process during SqueezeCasting of Magnesium alloy AM60. In
Squeeze Casting applied pressure plays an
important role. The main advantage of the
deployment of high pressure is that it
increases the heat transfer coefficients
between liquid metal and mold surface by
several orders of magnitude which enhances
cooling rates and solidification and produce a
fine grain structured castings preventing the
appearance of gas porosity/shrinkage
porosity. In this work, solidification processduring squeeze casting process of different
wall-thickness 5-step casting under different
pressure conditions is simulated using the
commercial CFD software FLOW-3D .The
thesis work attempted to simulate in a
systematic manner the heat transfer process
during Squeeze Casting of a 5 step.Casting
model with dimensions of 100303 mm,
Smt.Bindu M.D
Asst.Professor
Government Engineering College
Thrissur,[email protected].
Dr.S.Savithri , Senior Principal Scientist
CMS-PEET Dept. NIIST CSIR,Trivandrum
100 x 30 x 5 mm, 100 x 30 x 8 mm, 100 x
30 x12 mm, 100 x 30 x 20 mm accordingly.
The molten metal was allowed to fill the
cavity from the bottom by a cylindrical
shape sleeve with diameter 100 mm. The cast
material chosen for this simulation is
magnesium alloy AM60 and mold material
chosen is Steel AISI P20 Squeeze casting of
magnesium alloy AM60 was performed
under an applied pressure 0,30, 60 and 90
Mpa. This work is directed towards using
heat transfer coefficients at the metal/die
interface for simulating the solidificationprocess of different wall-thickness 5-step
casting under different pressure conditions
and generating time-temperature profile at
different locations..Hence for the present
study, the experimentally applied pressure is
incorporated into the simulation by
specifying heat transfer coefficient at the
metal-dieinterface.
I.INTRODUCTION
Squeeze casting, also known as liquid-metal
forging, is a process by which molten metal
solidifies under pressure within closed dies
positioned between the plates of a hydraulic
press.The applied pressure and the instant
contact of the molten metal with the die
surface produce a rapid heat transfercondition that yields a pore-free fine-grain
casting with mechanical properties
approaching those of a wrought product.
This enhancement is realized due to the esta-blishment of direct contact between the
liquid metal and the die wall.Owing to the
high heat flux at the boundaries, the
solidification is quickly achieved.Due to
the elimination of air gap between the
metal and die interface, the heat transfer
coefficient is increased, which enhancescooling rates and solidification. Simulation
is a very important method for
optimizing squeeze casting process. Since
casting is a transient process, during the
process, not only the metal itself changes itsphase from liquid to solid, but also the
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casting-die heat transfer condition. The
changes of these two factors affect each
other. Generally, in casting simulation
model, any minor change in the
boundary conditions can significantly
affect the numerical prediction results.Therefore, to obtain reliable and valid
prediction through simulation, precisely
casting-die heat transfer condition must be
imposed.The numerical simulation has
increasingly become an effective tool in the
casting manufacturing, by which some
primitive and time-consuming procedures
for finding the appropriate set of process
parameters are avoided. However, Little
attention has been paid to variation of
casting thicknesses and hydraulic pressures.Actually, in the die casting practice, the
different thicknesses at different locations of
castings results in significant variation of the
heat transfer coefficients. Therefore, it
would be important to investigate the
influence of casting thickness, applied
pressure value, and process parameters on
the heat transfer coefficients.
II. Strategy and Scope of Thesis
Recently Sun [3] has carried out extensive
experiments on squeeze casting process of a
different wall-thickness 5-step casting under
different pressure conditions. Squeeze
casting of magnesium alloy AM60 was
performed under an applied pressure 30, 60
and 90 MPa in a hydraulic press. With
measured temperatures, heat fluxes IHTCs
were evaluated using the polynomial curve
fitting method and numerical inversemethod. In this work, solidification process
during squeeze casting process is simulated
using the commercial CFD software FLOW-
3D for the same set of parameters for which
Sun [3] has carried out experiments. The
heat transfer coefficients needed for
metal/mold inteface is taken from the
polynomial fit developed by Sun [3]. The
scope of this thesis has been restricted to the
investigation of solidification process. In
squeeze casting applied pressure plays animportant role. The main advantage of the
deployment of high pressure is that it
enhances the heat transfer coefficients
between liquid metal and mold surface by
several orders of magnitude. This
enhancement is realized due to the
establishment of direct contact between theliquid metal and the die wall. This fact has
been proved experimentally by Sun [3]
where he has carried out extensive
experiments to record temperature profiles
during squeeze casting process of different
wall-thickness 5-step casting under different
pressure conditions. The alloy chosen for his
experiments was Magnesium alloy AM60
for the casting and steel die for the mold.
From the experimental data, he calculated
the heat transfer coefficients at the metal/dieinterface using inverse approach and by
polynomial fitting method. This work is
directed towards using these heat transfer
coefficients at the metal/die interface for
simulating the solidification process of
different wall-thickness 5-step casting under
different pressure conditions and to map the
temperature profiles at different locations
and try to compare the results between
simulation and experiments.
III.Flow 3D- An Overview
FLOW-3D is a powerful and highly accurate
commercial CFD software that gives
engineers valuable insight into many of the
physical processes. With special capabilities
for accurately predicting free-surface flows,
FLOW-3D is the ideal CFD software to use
in design phase as well as in improving
production processes [8].It employs
specially developed numerical techniques to
solve the equations of motion for fluids to
obtain transient, three-dimensional solutions
to multi-scale, multi-physics flow problems.
It is an easy-to-use simulation software
designed to accurately simulate filling and
solidification processes,pinpoint probable
defects and problems before casting,identify
viable designs more quickly,decrease the
number of design iterations,improve scraprates,reduce overall casting costs.
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IV CASE STUDY
Experimental Results Reported By Sun Et
Al For Estimation Of Heat Transfer
Coefficient During Squeeze CastingProcess.
The experimental results of Sun et al [9] is
presented where they have done experiments
to record the thermal histories at certain
locations and how they calculated the heat
transfer coefficient between metal/die
interface by using polynomial extrapolation
method.Figure 1.1 shows the 3-D model of
5-step casting used for their experimental
study. It consists of 5 step casting, with
dimensions of 100 x 30 x3 mm, 100 x 30 x
5 mm, 100 x 30 x 8 mm, 100 x 30 x12 mm,100 x 30 x 20 mm accordingly
Figure 1.1 3-D model of 5-step casting with
round-shape gating system Sun et al.[ 9]
Configuration of die and installation of
measurement unit.
Figure 1.2 Configuration of the upper die
and the geometric installation of
Thermocouple and pressure transducers. Sun
et al. [ 9]
To measure the temperatures and
pressures at the casting-die interface
accurately and effectively, a special
thermocouple holder was developed. Ithosted 3 thermocouples simultaneously to
ensure accurate placement of thermocouples
in desired locations of each step. Figure 1.2
illustrates schematically the configuration of
the upper die (left and right parts) mounted
on the top ceiling of the press machine.
Pressures within the die cavity weremeasured using Kistler pressure transducers
6175A2 with operating temperature 850C
and pressures up to 200 MPa. As shown in
Figure 1.2, pressure transducers and
temperature thermocouples were located
opposite to each other so that measurements
from sensors could be directly correlated due
to the symmetry of the step casting. Five
pressure transducers and temperature
measuring unit were designated as PT1
through PT5, TS1 through TS5, respectively.
Determination Of IHTC by Polynomial
Curve Fitting Method.
To evaluate the IHTC effectively,the
finite difference method (FDM) was
employed as follows based on the heat
transfer equations. Since the thickness of
each step is much smaller than the width or
length of the step, it can be assumed that
the heat transfer at each step is one-dimensional. The heat transfer across the
nodal points of the step casting and die is
shown in Figure 1.3. The temperatures
were measured at 2, 4, 6, 8 mm beneath
die surface and the heat flux transferred
to the die mould can be evaluated by heat
transfer equations.
Figure 1.3 One-dimensional heat transfer at
the interface between the casting and die,
where temperature measurements were
performed (Sun et al. [ 9])
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Figure 1.4 5-step castings solidifying under
applied pressure 30, 60, and 90MPa. (Sun et
al., [9]
From the temperature versus time curves
obtained at each position inside the die,the temperature at the die surface (X0 =
0mm) can be extrapolated by using
polynomial curve fitting method. After the
completion of filling, by selecting a
particular time of solidification process,
the values of temperatures were read from
the temperature-time data at position X1,
X2, X3, and X4 as shown in Figure 1.3. A
polynomial curve with various measured
temperatures against distance X were
plotted and extrapolated by a polynomialtrend line. The temperature at the die surface
was determined by substituting the value of
X=0 in the polynomial curve fitting. The
polynomial equation thus obtained is given
below which predicts the temperature
values at various distances inside the die at
a chosen time.
y = 0.0635x3 + 0.1759x2 - 16.495x + 308.43
This procedure is repeated for a number
of time increments to get series of such
temperatures with corresponding times at
metal - die interface, at metal surface, die
surface, and at various positions inside the
die.
V. RESULTS & DISCUSSION
The simulation results of casting simulation
of 5 step casting using FLOW-3D software
is presented. The casting material chosen for
the 5 step casting is Magnesium alloy AM60
and the mold material chosen for the die is
steel. In this study only the solidification
sequence is simulated using FLOW-3D.
Since solidification phenomena is governed
by the energy equation along with phase
change, the applied pressure during squeeze
casting process can't be given as a directinput for the simulation.Hence for the
present study, the experimentally applied
pressure is incorporated into the simulation
by specifying heat transfer coefficient at the
metal/die interface. The 5 step casting is
imported in FLOW-3D as an .STL file. The
mold box of required dimensions is created
in FLOW-3D.The 5 step casting is initially
assumed to be filled of the casting material
at the pouring temperature. Then the whole
geometry is discretized into rectangularblocks. The total number of cells is around
2,45,000. At the metal/mold interface a
value for heat transfer coefficient is
specified.The thermophysical properties
used for simulation are shown in Table
(a)Thermo physical properties of
magnesium alloy AM60.
(b) Material properties of Steel AISI P20
used for simulation.
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The heat transfer coefficient (hc/d) is
calculated according to the polynomial
expression given by Zhizhong Sun [3].
hc/d = ( 1996.6 + 169.56 P - 0.78 P2
)
where, hc/d is the heat transfer coefficient
across the casting/die interface (W/m2K),
The heat transfer coefficient (hc/d) is an
important factor which controls heat transfer
phenomena at the metal/die interface during
solidification process in squeeze casting.P is
the applied pressure (Mpa)
Since the applied pressure also increases
liquidus temperature, a linear relation
between the liquidus temperatures and
applied pressures was employed byZhizhong Sun [3]as:
TL=0.092P+Tmwhere TL is the liquidus temperature of
magnesium alloy AM60 under applied
pressures, P is the applied pressure
(MPa), Tm is the non-equilibrium
solidification temperature (615C) at 0
MPa.
A similar linear relation between the
solidus temperatures and applied pressures
was proposed by Zhizhong Sun :
Ts = 0.072 P + Ts,mwhere Ts is the solidus temperature of
magnesium alloy AM60 under applied
pressures, P is the applied pressure, Ts,m is
the solidus temperature (540C) at 0 MPa.
Table 1.1 below shows the values used for
the present simulation based on these
polynomial expressions.
Four sets of solidification simulation was
first carried out which corresponds to four
different pressure values viz. 0 Mpa, 30Mpa, 60 MPa and 90 Mpa. Hence
accordingly different heat transfer
coefficients were used for the solidification
simulation. The values shown in above table
1.1 is used in FLOW-3D for specifying the
heat transfer coefficient value at the
metal/die interface. During solidification, thetemperature of the liquid metal in the casting
starts to reduce and once the temperature
reaches below the liquidus temperature
solidification starts and it continues till the
temperature of the cast metal reaches solidus
temperature. Below the solidus temperature
there is no phase change, but the temperature
decreases further. The heat dissipated by the
hot liquid metal is transferred to the mold
material at the metal/die interface and the
mold material gets heated up.Table 1.2 below shows the total
solidification time of the 5-step casting
obtained by the simulation for different
applied pressures. It can be seen from the
table that the total solidification time reduces
as pressure increases. This is because of the
higher heat transfer coefficient values for
higher pressures at the metal/die interface.
Temperature profiles at differentlocations of the casting
Figure. 1.5 shows a typical cooling curve at
five different locations of the 5-step casting
when the applied pressure is 0 MPa. That
means value of around 2000 W/m2K is
chosen for the heat transfer coefficient value
at the metal/die interface. The initial
temperature of the liquid metal is around
720C and that of mold materials is around
210C. It can be observed clearly, the slope
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of the cooling curve corresponding to step 1
is much steeper than that of the cooling
curve corresponding to step 5. This is
because step 1 is the thinnest part of the 5
step casting and hence the heat is dissipated
fast, whereas step 5 corresponds to thethickest part of the 5-step casting and the
heat dissipation is slower. It can also be
observed that step1 has solidified
completely in 10 seconds whereas step 5 has
taken almost 35 seconds to solidify.
Figure 1.5 Cooling curves at different
locations of the 5 step casting (P 0 Mpa)
Figure 1.6 shows the temperature profile at
the mold locations corresponding to the
applied pressure of 0 Mpa. It can be
observed that the temperature at the moldlocations increases upto a certain time and
then starts cooling down. The temperatures
increases from 210C to approximately
380C near the thicker locations (step 5 of
the 5 step casting)
Figure 1.6 Temperature profile at
differentlocations of the 5 step casting (P 0
Mpa).
Figure 1.6 shows the cooling curve
corresponding to casting location step 5 fordifferent applied pressures. It can be
observed that there is not much of a
difference in the slope of the cooling curve
when the pressure changes from 30 MPa to
90 MPa eventhough the heat transfer
coefficient almost doubles up for these
pressures. The total solidification time alsohas reduced tremendously. The
solidification time has reduced from 35
seconds to almost 15 seconds.
Figure 1.6 Cooling curves at location step
5 for different applied pressures.
Figure 1.7 shows the Temperature profile
corresponding to casting location step 5 for
different applied pressures. It can be
observed that the temperatures increases
from 210C to approximately 420C inmold temperature curve when the pressure
changes from 30 MPa to 90 MPa.
Figure 1.7 Temperature profile at location
step 5 for different applied pressures
A typical solidification simulation sequence
is depicted in Figure 1.5 where the 2-D
contour plots of temperature profile and
0
100
200
300
400
500
600
700
800
0 20 40 60 80
Temperature(oC)
Time (s)
Step 5
Step 4
Step 3
Step 2
Step 1
0
50
100
150
200
250
300
350
400
0 20 40 60 80
Walltemperature(oC)
Time (s)
Step 5
Step 4
Step 3
Step 2
Step 1
0
200
400
600
800
0.00 50.00 100.00
Temperature(C)
time (s)
0 Mpa
30 Mpa
60 Mpa
90 Mpa
0
100
200
300
400
500
0.00 50.00 100.00W
alltemperature(C)
time (s)
0 Mpa
30 Mpa
60 Mpa
90 Mpa
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solid fraction profile are shown for an
applied pressures. (0,30.60,90Mpa) at t=30s
A typical solidification simulation sequence
is depicted in Figure 1.6 where the 2-Dcontour plots Solid fraction plots for various
applied pressures 0 , 30 , 60 , 90 Mpa at t=
40 s
2-D contour plots of wall to fluid heat flux
profile are shown for an applied pressures.(0.30.60.90 mpa)
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CONCLUSION
An investigation into the solidification
process during squeeze casting of
magnesium alloy AM60 in a different wall-
thickness 5-step was performed under an
applied pressure 0 ,30, 60 and 90 MPa.
The pressure applied during squeeze castingprocess affects the solidifications sequence
in three ways (a) it increases the heat
transfer rate (b) It increases the liquidus and
solidus temperature (c) It doesn't affect the
freezing range of the alloy that much. The
cooling rates increased with the increasing
heat transfer coefficients thereby reducing
the solidification time. Temperature profiles
at different locations of the casting versus
time graphs were obtained. It can be
observed clearly, the slope of the coolingcurve corresponding to step 1 is much
steeper than that of the cooling curve
corresponding to step 5 at five different
locations of the 5-step casting when different
pressure is applied, because step 1 is the
thinnest part of the 5 step casting and hence
the heat is dissipated fast, whereas step 5
corresponds to the thickest part of the 5-step
casting and the heat dissipation is slower. It
can be observed that the temperature at the
mold locations increases upto a certain time
and then starts cooling down. The cooling
curve corresponding to casting location at
each step for different applied pressures is
plotted. There is not much of a difference in
the slope of the cooling curve when the
pressure changes from 30 MPa to 90 MPa
eventhough the heat transfer coefficient
almost doubles up for these pressures.The
total solidification time also has reduced
tremendously. From steps 1, 2, 3, 4, to 5with applied pressure wall to fluid heat flux
increases as the step become thicker due to
the large difference in temperatures between
the melt and the die with thick cavity section
as well as relatively high localized pressure.
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