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Casting Simulation For Your Foundry’s
Profitability Using Hybrid Method Software.
ABSTRACT:                            followed in foundries, i.e.
                                     trial and error method, lots
     The present work aims           of money, energy and time
at introducing simulation at         are wasted.       Even then
all stages of casting to             process is not controlled
reduce        defects    and         accurately. Foundries mostly
increasing the productivity          follow lot of heuristics which
and    profitability  of  the        they come out with their
foundry. The work presents           experience in that casting.
the simulation of a casting
using FDM software and                    Process operations and
various plots of the casting.        casting are to be controlled
The work describes the               in a very accurate fashion.
various        stages    and         One of the approaches that
predictions involved with a          can be adopted is simulation,
complex casting simulation.          which is now becoming a
The journal also presents the        part    of  every   industry.
detail about mathematics             Computer     aided    casting
involved in it.                      simulation   helps    us    in
                                     visualizing the real world
     KEYWORDS: Casting,              environment casting process
Casting    simulation, FDM           in a mere few steps of
simulation, SOLIDCast.               inputs.
INTRODUCTION:                              Simulation has become
      On    estimating     the       an important tool in almost
defects    in   the    casting       in all foundries. Simulation
components major portion is          plays a major role in all
because     of   the    design       casting stages. The main aim
problems and minor portion           of all the foundry makers will
is caused by manufacturing.          be to produce profitable and
The cost involved is also very       high quality components to
high.     Casting     process        survive in this competitive
simulation and analysis for          era. This may be one of the
various defects is considered        reasons “why now a day’s
to be one of the major               simulation has become an
productivity tools.                  unavoidable part of casting
                                     production”.
    Considering          the
conventional        approach

                                 1
[Type text]


      The Shortening of lead               And also quite often it is
times,     producing   higher         required to design to risering
quality and improving yield           and gating designs which
of the casting, Simulation            were not originally part of
can     be    used.   Casting         casting design. If the ability
simulation eliminates shop-           of the product to be cast is
floor trials and achieving of         already     checked       and
desired quality is made               optimized already in the
easier. Casting simulation            design stage, a lot of useless
requires domain knowledge,            works can be avoided.
and must be fast, powerful,
easy to use and accurate.
                                               • Opticast
                                                 Simulation.
                                              Solidification simulation
                                      uses FDM based method of
                                      heat         transfer   calculation
                                      combined with a unique
SIMULATION:                             3D CAD MODEL
                                      tracking          of    volumetric
      The computer aided              changes in the metal, to
                                           STL FILE
analysis is carried out by            predict the temperature and
using a Finite Difference and         volumeCAE
                                        IMPORT TO
                                                    changes in a casting
vector      modulus     based         as it is poured, solidified and
                                         ENVIRONMENT
                                  RUNNER
Software,        “SOLIDCast”.         cooled.
                                  DESIGN
                                                              MATERIAL
SOLIDCast is a PC based tool               FlowCast
                                              FINITE ELEMENT
                                                             is MODEL full SYSTEM
                                                                    a
that is used for simulating           featured MESH   CFD      simulation, INPUTS
the pouring of hot metal of           based in the navier stokes
virtually and casting alloy           equations MESH fluidCALCULATION
                                                    for        flow.
                                                                WEIGHTS
                                               GENERATION
into     the   sand,     shell,
investment, or permanent                   OptiCast is a optimizing
molds, and the subsequent             methodology
                                              VIEW FACTOR
                                              CALCULATION
                                                          followed
                                                             MOLD DATA
                                                                INPUT
                                                                         to
solidification  and    cooling        optimize      the      considered
process.                              casting START  process           with CASTING
                                                                          100%
                                      considering the parameters &RISER
                                               SIMULATION
                                                            SINGLE CYCLE

        The     analysis     is       of      design           variables,
preceded in three stages.             constraints and objective
                                               FLOWCAST
                                      function.SIMULATION
         • Solidification
           Simulation                       The
                                              CASTPIC PLOTS    NO! ACCEPT
                                      following flow
         • FlowCast
                                      chart CHECKING FOR
                                                 gives
           simulation                            DEFECTS
                                                               YES! REJECT
                                  2


                                              REDESIGN
[Type text]


the steps followed in the
experimental simulation of a
casting using SOLIDCast.


                                    Pattern             material:
                                    Aluminum
                                    Type    of   pattern:   Match
                                    plate
                                    Type of mold: Silica sand.
                                    Pouring     temperature:
                                    1400-1450°C
                                    Theoretical Pouring Time:
                                    6.67 s.
                                    Table-1:                Metal
                                    composition
                                    S.      Element      Percent
                                    No.                  age
                                    1       Carbon       3.3
                                    2       Silicon      1.9
                                    3       Manganes     0.7
                                            e
                                    4       Sulphur      0.1
                                    5       Phosphoru    0.15
                                            s
                                    6       Chromium     0.4
                                    7       Copper       0.4


                                    PARAMETERS
                                    CONSIDERED:
                                         The      analysis     is
                                    governed by set of equations
                                    for continuum of mass and
MODEL DETAILS        TAKEN
                                    energy.    Fluid   flow    is
FOR STUDY:
                                    governed by Navier stokes
Component      for    study:        Equation.
Clutch housing of 407 tractor

                                3
[Type text]


                                …         is imported to the SOLIDCast
                                          environment. System and
(1)                                       required parameters are to
                                          be specified.
P= RT …… (2)
                                          DISCRETISATION:
              2
R     +           = (ρ   v   –ρ)/ρL
                                                Finite     difference
……(3)
                                          method of discretisation is
      Name of the alloy,                  followed over a complex
thermal conductivity, specific            physical
heat,     density,        initial         domain
temperature,     solidification
                                          to form
temperature, freezing range,
latent heat of fusion are all             a
the MATERIAL PARAMETERS
to be specified.
     Types of mold, initial
temperature,         thermal
conductivity, specific heat,
density    are  the    MOLD
PARAMETERS need to be
specified.
     SOLIDIFICATION POINT
AND NIYAMA CRITERION is to
be specified.
      Values      for HEAT
TRANSFER COEFFICIENTS are
also to be specified.
                                          computational domain. The
      The flow chart given in             discretised model may have
fig.1 gives the steps involved
                                          millions of cubes, and the
in simulation.
                                          heat transfer equations are
EXPERIMENTAL                              applied to each cube, over
SIMULATION:                               and over. Heat Transfer
     A      complex        3D             Equations     applied   and
dimensional       model     is            iterations are carried out
considered for simulation                 over the domain till the
and to plot the required                  solution converges.
results. STL file of the model

                                      4
[Type text]


PHYSICAL DOMAIN:                     by a process of applying
                                     “View Factor” calculations to
                                     the mesh. The View Factor
                                     Calculation     takes    into
COMPUTATIONAL
                                     account the visibility of all
DOMAIN:                              mold surfaces to all other
                                     mold surfaces as well as the
                                     surrounding      environment,
                                     and adjusts the conditions at
                                     each surface accordingly.
                                     View factors are applied to
                                     every surface in contact with
                                     ambient conditions, so it
                                     doesn’t matter if the mold is
                                     created as a part of the
                                     model, or by meshing.
                                     SOLIDIFICATION
                                     SIMULATION:
     The equations given
                                            SOLIDCast   runs    the
below gives the applied heat
                                     filling analysis and followed
transfer equations and the
                                     by solidification analysis.
equation for temperature
                                     (Fig.3        and       Fig.4).
prediction at the final node.
                                     Solidification      simulation
The accuracy of the results
                                     enables visualization of the
of    numerical     simulation
                                     last freezing regions or hot
depends upon the size of the
                                     spots. This facilitates the
mesh,     material    property
                                     placement and design of
data, and the heat transfer
                                     risers and risering aids in
coefficients specified for the
                                     order to increase yield while
mold interface.
                                     ensuring casting soundness
Q = [ KA(Tn1-T n2)(∆t/x) ] …….       without expensive and time
(4)                                  consuming trial runs.

Q = hA(Tn1-T n2) ∆t …….(5)           FLOWCAST SIMULATION:

Tf = Ti + ∑Q/Vρc …….(6)                   FLOWCast           allows
                                     visualizing the flow of molten
VIEWFACTOR                           metal      through      gating
CALCULATION:                         systems and filling the mold.
    The variations in radiant        FLOWCast,               Models
heat loss can be simulated           conduction, convection and
                                     radiation in the mold cavity,

                                 5
[Type text]


allowing to analyze the               to the Solidus Point. This can
casting model and gating              help to locate isolated areas
design    to    predict    and        of molten metal within the
minimize flow related defects         casting and to get a general
such as misruns due to                idea        of      progressive
premature solidification, or          solidification in various areas
oxide formation, or mold              of the casting. The isolated
erosion due to excessive              area is the area that is prone
velocities during filling .           to shrinkage. (Fig. 11).
FLOWCast enables to view
progressive      temperature,         CRITICALFRACTION
fluid velocity, and fluid             SOLIDIFICATION TIME:
pressure during the fill, from              Critical Fraction Solid
any angle of view.                    Time records the time, for
              _
                                      each part of the casting to
                          …….         reach the Critical Fraction
(7)                                   Solid Point. This is the point
                                      at which the alloy is solid
ρ((∂v/∂t)+v.   ∆v)           =
        2                             enough that liquid feed
-∆p+µ∆ v+f …….(8)
                                      metal can no longer flow.
                                      Critical Fraction Solid Time is
                                      generally a better indication
                                      than Solidification Time. This
                         ..(9)        plot gives a good indication
                                      of whether any contraction
                                      that forms will be able to be
                                      fed by liquid feed metal
                             ..       within the risers or feeders.
                                      The result critical fraction
(10)
                                      solid time plot noted that
                                      there are few isolated pools
                                      of molten metal. (Fig. 13).
                             ..       TEMPERATURE GRADIENT
(11)
                                           Temperature Gradient
                                      is a measure of variation in
                                      temperature       within    a
SOLIDIFICATION TIME                   casting.         Temperature
     Solidification        time       Gradient is calculated at
shows the time, for each part         each node within the casting
of the casting to become              as that point hits the Niyama
completely solid, i.e., to cool       Point on the cooling curve.

                                  6
[Type text]


Temperature Gradient can                feed any area which is prone
be used to get an idea of               to contraction, to avoid
whether there was good or               shrinkage porosity in the
poor directional solidification         casting. (Fig. 16)
at various points within the
casting. Higher temperature             Cast Iron is one of the most
gradients     are    good,     as       complex alloys in terms of
steeper            temperature          how it solidifies and how
gradients mean a greater                volume changes affect the
driving         force         for       likelihood    of   shrinkage
solidification. The brightest           porosity.
areas indicate those areas              The example showed a
with the lowest temperature             hypereutectic cast iron. In
gradients, and the poorest              this case, expansion starts
directional solidification. (Fig.       immediately              upon
14)                                     solidification.(Fig. 12)
COOLING CURVES                          SOLIDCast predicts well the
      These curves describe             volume changes based on
how a single point in a                 theoretical calculations for
casting behaves as it cools,            the behavior of iron and
when its temperature is                 graphite in the solidification
plotted against time. As the            process.
casting        loses       heat         NIYAMA CRITERION
(superheat) to the mold, it
cools down, remaining a                       Niyama has been used
liquid until it begins to               extensively for shrinkage
solidify.   The    point    that        prediction and directional
signifies    the     onset    of        solidification   in   castings,
solidification is called the            until the use of more
liquidus point. Once the                advanced calculations such
alloy is completely solid, we           as the Material Density
say that it has reached the             Function.     Lower the value,
Solidus        Point.      After        higher the probability of
reaching this point, the                shrinkage. Niyama criterion
metal begins to cool more               plot (Fig. 12) shows little
rapidly as a solid. As the              shrinkage porosity in the
casting solidifies, it gradually        castings.
changes from a fully liquid
                                        COOLING RATE
material to a fully solid
material. We depend on the                  Cooling Rate   is  a
flow of liquid feed metal to            measure of how quickly a

                                    7
[Type text]


casting is cooling down                fill    material    /   casting
measured at each point in              interface cells at the start of
the casting as that point hits         the filling simulation, and
the Niyama Point on the                then at regular intervals
cooling curve. Cooling Rate            during the simulation. Each
can be an indication of                one of the particles released
material quality. Areas of the         from each fill material /
casting that cool rapidly              casting interface cell is
generally have a more                  tracked in time while the
favorable grain structure,             filling simulation is executed.
with    less   deposition   of         The particles can be watched
partially-soluble compounds            while it moves during the
at the grain boundaries. The           simulation, and also display
plot (Fig. 15) shows most of           the particle movement after
the sections have the lowest           a simulation is complete. The
cooling rates.                         plot (Fig. 9) shows the fluid
                                       particle flow with respect to
HOT                      SPOT          time governed by navier
SOLIDIFICATION                         stokes equation (Eqn.8).
      Hot Spot plotting is a           MODULUS              VECTOR
function that locates thermal          METHOD:
centers or hot spots within
the casting by comparing                    The method is useful for
solidification times or critical       the identification of hot spots
fraction solid times of points         and the simulation of feeding
within local areas. The range          paths      accurately.     This
of values is always 0 to 10,           approach uses the direction
and generally the value                of   the     largest   thermal
plotted is around 1.1 or 1.2.          gradient at any point inside a
                                       casting to move along a path
The hot spot plot (Fig. 10)            which leads to a hot spot.
does not give an indication
of the severity of the defect,         Consider a section of casting
as    it  does     not   take          showing      iso-solidification
contraction/expansion     into         time contours
account. But it gives a good
indication of areas which
may have problems.
FLOW PATH LINES

    FLOWCast releases a
group of particles from the

                                   8
[Type text]


                                            For determining the
                                      largest temperature gradient
                                      at any point Pi inside the
                                      casting, the vector modulus
                                      method is followed. Fig. 17 &
                                      Fig.18 shows the values
                                      computed at two points
                                      Pi(x,y,z).
                                      CONCLUSION:
When the temperature Ti of
molten metal at a location Pi              Casting simulation is
reaches the solidus value,            the mathematical way of
the nearest location Pi+1             predicting a casting process.
along      the     temperature        The objective function of
gradient is the one most              maximizing       the     yield,
likely to supply Pi with liquid       minimizing shrinkage and
metal       compensate      for       minimizing solidification time
solidification shrinkage.             are all found to be greatly
                                      achieved      using     Hybrid
Pi , Pi+1 , Pi+2, ……………… Ph           method software. Simulation
represents the feeding path           should       become         an
in reverse.                           indispensable tool in all
                                      foundries, minimizing time,
      The     approach      to
                                      energy spent and money,
locating    hot    spots  and
                                      thus maximizing profit. The
tracing fluid metal flow paths
                                      plot for various parameters
reduces the complexity of
                                      and defects very well gives a
computation by at least an
                                      good idea for redesign and
order magnitude as there is
                                      re-simulation done with no
no longer the need to
                                      cost of time. Casting process
determine         temperature
                                      simulation has become an
exhaustively at all points
                                      industry     standard.      No
inside a casting.
                                      foundry that produces high
                                      quality castings can consider
                                      simulation as unnecessary.
                                      REFERENCES:
                                      1. Ravi.B, Srinivasan.M.N
                                      (1990),    Hot Spots    in
                                      castings: Computer aided
                                      location and experimental
                                      validation

                                  9
[Type text]


2. Campbell, John, (2003),            7.   Durgesh     Joshi, Ravi
The new metallurgy of cast            B(2007), Feedability Analysis
metals,   CASTINGS     (2ND           and optimization driven by
Edition),      Butterworth-           casting simulation, Indian
Hienemann,   Burlington-MA            foundry journal.
01803.
                                      8. Rundman B. Karl, Metal
3.   Ravi    B,(2008),Casting         Casting,  Reference   for
Simulation                and         MY4130.
optimization;Benefits,Bottlen
ecks, and Best practices.             9. Ravi B, Srinivasan M.N,
                                      (1990)Casting solidification
4. ASM Handbook (1992),               analysis by vector modulus
ASM      International,    the        method, International Journal
Materials          Information        of Cast Metals.
Company.
                                      10.  Heine,       Loper    &
5. Joshi D, Ravi B (2008),            Rosenthal (2005), Principles
Classification and simulation         of  Metal    Casting,   Tata
based design of 3D junctions          McGraw Hill, New Delhi.
in castings.
                                      11. Anderson D. John, (1995),
6. Louvo Arno, M.Sc, CT-              Computational           Fluid
Castech     Inc.  O.Y(1997),          Dynamics, The Basics With
Casting simulation as a trool         Applications, Tata McGraw
in concurrent engineering,            Hill Series.
International    ADI     and
simulation conference.




                                 10
[Type text]




                Fig.1 Meshed Model




              Fig.2 Material properties



                         11
[Type text]




                     Fig. 3 Mold Properties




Fig. 4 Weights calculation                    Fig.   5
Simulation Setup




                              12
[Type text]


Fig. 6 Filling simulation                       Fig.   7
Solidification simulation




                   Fig. 8 FlowCast simulation




                      Fig. 9 Flow path lines




                               13
[Type text]




     Fig. 10 Hot spot plot                   Fig.11
Solidification time




      Fig. 12 Niyama criterion                    Fig. 13
Critical fraction solid point




Fig.14 Temperature Gradient           Fig.   15   Cooling
rate




                                 14
[Type text]




                     Fig. 16 Cooling curve




      Fig.17&18 point values using vector modulus method




                              15

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38166783 casting-simulation-1

  • 1. [Type text] Casting Simulation For Your Foundry’s Profitability Using Hybrid Method Software. ABSTRACT: followed in foundries, i.e. trial and error method, lots The present work aims of money, energy and time at introducing simulation at are wasted. Even then all stages of casting to process is not controlled reduce defects and accurately. Foundries mostly increasing the productivity follow lot of heuristics which and profitability of the they come out with their foundry. The work presents experience in that casting. the simulation of a casting using FDM software and Process operations and various plots of the casting. casting are to be controlled The work describes the in a very accurate fashion. various stages and One of the approaches that predictions involved with a can be adopted is simulation, complex casting simulation. which is now becoming a The journal also presents the part of every industry. detail about mathematics Computer aided casting involved in it. simulation helps us in visualizing the real world KEYWORDS: Casting, environment casting process Casting simulation, FDM in a mere few steps of simulation, SOLIDCast. inputs. INTRODUCTION: Simulation has become On estimating the an important tool in almost defects in the casting in all foundries. Simulation components major portion is plays a major role in all because of the design casting stages. The main aim problems and minor portion of all the foundry makers will is caused by manufacturing. be to produce profitable and The cost involved is also very high quality components to high. Casting process survive in this competitive simulation and analysis for era. This may be one of the various defects is considered reasons “why now a day’s to be one of the major simulation has become an productivity tools. unavoidable part of casting production”. Considering the conventional approach 1
  • 2. [Type text] The Shortening of lead And also quite often it is times, producing higher required to design to risering quality and improving yield and gating designs which of the casting, Simulation were not originally part of can be used. Casting casting design. If the ability simulation eliminates shop- of the product to be cast is floor trials and achieving of already checked and desired quality is made optimized already in the easier. Casting simulation design stage, a lot of useless requires domain knowledge, works can be avoided. and must be fast, powerful, easy to use and accurate. • Opticast Simulation. Solidification simulation uses FDM based method of heat transfer calculation combined with a unique SIMULATION: 3D CAD MODEL tracking of volumetric The computer aided changes in the metal, to STL FILE analysis is carried out by predict the temperature and using a Finite Difference and volumeCAE IMPORT TO changes in a casting vector modulus based as it is poured, solidified and ENVIRONMENT RUNNER Software, “SOLIDCast”. cooled. DESIGN MATERIAL SOLIDCast is a PC based tool FlowCast FINITE ELEMENT is MODEL full SYSTEM a that is used for simulating featured MESH CFD simulation, INPUTS the pouring of hot metal of based in the navier stokes virtually and casting alloy equations MESH fluidCALCULATION for flow. WEIGHTS GENERATION into the sand, shell, investment, or permanent OptiCast is a optimizing molds, and the subsequent methodology VIEW FACTOR CALCULATION followed MOLD DATA INPUT to solidification and cooling optimize the considered process. casting START process with CASTING 100% considering the parameters &RISER SIMULATION SINGLE CYCLE The analysis is of design variables, preceded in three stages. constraints and objective FLOWCAST function.SIMULATION • Solidification Simulation The CASTPIC PLOTS NO! ACCEPT following flow • FlowCast chart CHECKING FOR gives simulation DEFECTS YES! REJECT 2 REDESIGN
  • 3. [Type text] the steps followed in the experimental simulation of a casting using SOLIDCast. Pattern material: Aluminum Type of pattern: Match plate Type of mold: Silica sand. Pouring temperature: 1400-1450°C Theoretical Pouring Time: 6.67 s. Table-1: Metal composition S. Element Percent No. age 1 Carbon 3.3 2 Silicon 1.9 3 Manganes 0.7 e 4 Sulphur 0.1 5 Phosphoru 0.15 s 6 Chromium 0.4 7 Copper 0.4 PARAMETERS CONSIDERED: The analysis is governed by set of equations for continuum of mass and MODEL DETAILS TAKEN energy. Fluid flow is FOR STUDY: governed by Navier stokes Component for study: Equation. Clutch housing of 407 tractor 3
  • 4. [Type text] … is imported to the SOLIDCast environment. System and (1) required parameters are to be specified. P= RT …… (2) DISCRETISATION: 2 R + = (ρ v –ρ)/ρL Finite difference ……(3) method of discretisation is Name of the alloy, followed over a complex thermal conductivity, specific physical heat, density, initial domain temperature, solidification to form temperature, freezing range, latent heat of fusion are all a the MATERIAL PARAMETERS to be specified. Types of mold, initial temperature, thermal conductivity, specific heat, density are the MOLD PARAMETERS need to be specified. SOLIDIFICATION POINT AND NIYAMA CRITERION is to be specified. Values for HEAT TRANSFER COEFFICIENTS are also to be specified. computational domain. The The flow chart given in discretised model may have fig.1 gives the steps involved millions of cubes, and the in simulation. heat transfer equations are EXPERIMENTAL applied to each cube, over SIMULATION: and over. Heat Transfer A complex 3D Equations applied and dimensional model is iterations are carried out considered for simulation over the domain till the and to plot the required solution converges. results. STL file of the model 4
  • 5. [Type text] PHYSICAL DOMAIN: by a process of applying “View Factor” calculations to the mesh. The View Factor Calculation takes into COMPUTATIONAL account the visibility of all DOMAIN: mold surfaces to all other mold surfaces as well as the surrounding environment, and adjusts the conditions at each surface accordingly. View factors are applied to every surface in contact with ambient conditions, so it doesn’t matter if the mold is created as a part of the model, or by meshing. SOLIDIFICATION SIMULATION: The equations given SOLIDCast runs the below gives the applied heat filling analysis and followed transfer equations and the by solidification analysis. equation for temperature (Fig.3 and Fig.4). prediction at the final node. Solidification simulation The accuracy of the results enables visualization of the of numerical simulation last freezing regions or hot depends upon the size of the spots. This facilitates the mesh, material property placement and design of data, and the heat transfer risers and risering aids in coefficients specified for the order to increase yield while mold interface. ensuring casting soundness Q = [ KA(Tn1-T n2)(∆t/x) ] ……. without expensive and time (4) consuming trial runs. Q = hA(Tn1-T n2) ∆t …….(5) FLOWCAST SIMULATION: Tf = Ti + ∑Q/Vρc …….(6) FLOWCast allows visualizing the flow of molten VIEWFACTOR metal through gating CALCULATION: systems and filling the mold. The variations in radiant FLOWCast, Models heat loss can be simulated conduction, convection and radiation in the mold cavity, 5
  • 6. [Type text] allowing to analyze the to the Solidus Point. This can casting model and gating help to locate isolated areas design to predict and of molten metal within the minimize flow related defects casting and to get a general such as misruns due to idea of progressive premature solidification, or solidification in various areas oxide formation, or mold of the casting. The isolated erosion due to excessive area is the area that is prone velocities during filling . to shrinkage. (Fig. 11). FLOWCast enables to view progressive temperature, CRITICALFRACTION fluid velocity, and fluid SOLIDIFICATION TIME: pressure during the fill, from Critical Fraction Solid any angle of view. Time records the time, for _ each part of the casting to ……. reach the Critical Fraction (7) Solid Point. This is the point at which the alloy is solid ρ((∂v/∂t)+v. ∆v) = 2 enough that liquid feed -∆p+µ∆ v+f …….(8) metal can no longer flow. Critical Fraction Solid Time is generally a better indication than Solidification Time. This ..(9) plot gives a good indication of whether any contraction that forms will be able to be fed by liquid feed metal .. within the risers or feeders. The result critical fraction (10) solid time plot noted that there are few isolated pools of molten metal. (Fig. 13). .. TEMPERATURE GRADIENT (11) Temperature Gradient is a measure of variation in temperature within a SOLIDIFICATION TIME casting. Temperature Solidification time Gradient is calculated at shows the time, for each part each node within the casting of the casting to become as that point hits the Niyama completely solid, i.e., to cool Point on the cooling curve. 6
  • 7. [Type text] Temperature Gradient can feed any area which is prone be used to get an idea of to contraction, to avoid whether there was good or shrinkage porosity in the poor directional solidification casting. (Fig. 16) at various points within the casting. Higher temperature Cast Iron is one of the most gradients are good, as complex alloys in terms of steeper temperature how it solidifies and how gradients mean a greater volume changes affect the driving force for likelihood of shrinkage solidification. The brightest porosity. areas indicate those areas The example showed a with the lowest temperature hypereutectic cast iron. In gradients, and the poorest this case, expansion starts directional solidification. (Fig. immediately upon 14) solidification.(Fig. 12) COOLING CURVES SOLIDCast predicts well the These curves describe volume changes based on how a single point in a theoretical calculations for casting behaves as it cools, the behavior of iron and when its temperature is graphite in the solidification plotted against time. As the process. casting loses heat NIYAMA CRITERION (superheat) to the mold, it cools down, remaining a Niyama has been used liquid until it begins to extensively for shrinkage solidify. The point that prediction and directional signifies the onset of solidification in castings, solidification is called the until the use of more liquidus point. Once the advanced calculations such alloy is completely solid, we as the Material Density say that it has reached the Function. Lower the value, Solidus Point. After higher the probability of reaching this point, the shrinkage. Niyama criterion metal begins to cool more plot (Fig. 12) shows little rapidly as a solid. As the shrinkage porosity in the casting solidifies, it gradually castings. changes from a fully liquid COOLING RATE material to a fully solid material. We depend on the Cooling Rate is a flow of liquid feed metal to measure of how quickly a 7
  • 8. [Type text] casting is cooling down fill material / casting measured at each point in interface cells at the start of the casting as that point hits the filling simulation, and the Niyama Point on the then at regular intervals cooling curve. Cooling Rate during the simulation. Each can be an indication of one of the particles released material quality. Areas of the from each fill material / casting that cool rapidly casting interface cell is generally have a more tracked in time while the favorable grain structure, filling simulation is executed. with less deposition of The particles can be watched partially-soluble compounds while it moves during the at the grain boundaries. The simulation, and also display plot (Fig. 15) shows most of the particle movement after the sections have the lowest a simulation is complete. The cooling rates. plot (Fig. 9) shows the fluid particle flow with respect to HOT SPOT time governed by navier SOLIDIFICATION stokes equation (Eqn.8). Hot Spot plotting is a MODULUS VECTOR function that locates thermal METHOD: centers or hot spots within the casting by comparing The method is useful for solidification times or critical the identification of hot spots fraction solid times of points and the simulation of feeding within local areas. The range paths accurately. This of values is always 0 to 10, approach uses the direction and generally the value of the largest thermal plotted is around 1.1 or 1.2. gradient at any point inside a casting to move along a path The hot spot plot (Fig. 10) which leads to a hot spot. does not give an indication of the severity of the defect, Consider a section of casting as it does not take showing iso-solidification contraction/expansion into time contours account. But it gives a good indication of areas which may have problems. FLOW PATH LINES FLOWCast releases a group of particles from the 8
  • 9. [Type text] For determining the largest temperature gradient at any point Pi inside the casting, the vector modulus method is followed. Fig. 17 & Fig.18 shows the values computed at two points Pi(x,y,z). CONCLUSION: When the temperature Ti of molten metal at a location Pi Casting simulation is reaches the solidus value, the mathematical way of the nearest location Pi+1 predicting a casting process. along the temperature The objective function of gradient is the one most maximizing the yield, likely to supply Pi with liquid minimizing shrinkage and metal compensate for minimizing solidification time solidification shrinkage. are all found to be greatly achieved using Hybrid Pi , Pi+1 , Pi+2, ……………… Ph method software. Simulation represents the feeding path should become an in reverse. indispensable tool in all foundries, minimizing time, The approach to energy spent and money, locating hot spots and thus maximizing profit. The tracing fluid metal flow paths plot for various parameters reduces the complexity of and defects very well gives a computation by at least an good idea for redesign and order magnitude as there is re-simulation done with no no longer the need to cost of time. Casting process determine temperature simulation has become an exhaustively at all points industry standard. No inside a casting. foundry that produces high quality castings can consider simulation as unnecessary. REFERENCES: 1. Ravi.B, Srinivasan.M.N (1990), Hot Spots in castings: Computer aided location and experimental validation 9
  • 10. [Type text] 2. Campbell, John, (2003), 7. Durgesh Joshi, Ravi The new metallurgy of cast B(2007), Feedability Analysis metals, CASTINGS (2ND and optimization driven by Edition), Butterworth- casting simulation, Indian Hienemann, Burlington-MA foundry journal. 01803. 8. Rundman B. Karl, Metal 3. Ravi B,(2008),Casting Casting, Reference for Simulation and MY4130. optimization;Benefits,Bottlen ecks, and Best practices. 9. Ravi B, Srinivasan M.N, (1990)Casting solidification 4. ASM Handbook (1992), analysis by vector modulus ASM International, the method, International Journal Materials Information of Cast Metals. Company. 10. Heine, Loper & 5. Joshi D, Ravi B (2008), Rosenthal (2005), Principles Classification and simulation of Metal Casting, Tata based design of 3D junctions McGraw Hill, New Delhi. in castings. 11. Anderson D. John, (1995), 6. Louvo Arno, M.Sc, CT- Computational Fluid Castech Inc. O.Y(1997), Dynamics, The Basics With Casting simulation as a trool Applications, Tata McGraw in concurrent engineering, Hill Series. International ADI and simulation conference. 10
  • 11. [Type text] Fig.1 Meshed Model Fig.2 Material properties 11
  • 12. [Type text] Fig. 3 Mold Properties Fig. 4 Weights calculation Fig. 5 Simulation Setup 12
  • 13. [Type text] Fig. 6 Filling simulation Fig. 7 Solidification simulation Fig. 8 FlowCast simulation Fig. 9 Flow path lines 13
  • 14. [Type text] Fig. 10 Hot spot plot Fig.11 Solidification time Fig. 12 Niyama criterion Fig. 13 Critical fraction solid point Fig.14 Temperature Gradient Fig. 15 Cooling rate 14
  • 15. [Type text] Fig. 16 Cooling curve Fig.17&18 point values using vector modulus method 15