# Experimental and Simulation Research on the Influence of Stirring Parameters on the Distribution of Particles in Cast SiCp/A356 Composites

Authors: Zhiyong Yang; Like Pan; Jianmin Han; Zhiqiang Li; Jialin Wang; Xiang Li; Weijing Li
Journal: Journal of Engineering
 (2017)

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## Abstract

Achieving the uniform distribution of reinforcement particles in MMCs is very important for the effect of stirring parameters and the flow action of the melt, which should be known. The effect of stirring parameters on the distribution of SiC particles in SiCp/A356 composites was studied by the experimental and numerical methods in this paper. The experimental results show the SiC distribution with different stirring parameters. In addition, the effects of the fluid velocity and volume fraction of SiC particle at different position of crucible on the SiC distribution were analyzed by numerical simulation. The velocity magnitude, axial velocity, and radial velocity were analyzed to explain theoretically the particle distribution. The shearing force, moments, and stirring power of the stirring rod were simulated based on CFD code. The numerical results show that the stirring temperature is lower, the shearing force is greater, the stirring time is longer, and particle dispersion gets better. On the other hand, the higher the stirring speed is, the more uniform the radial and axial flow are, and the better the particles were dispersed. The numerical results were in good agreement with the experimental data.


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## Body

## 1. Introduction

Particle reinforced metal matrix composites (PMMCs) are used in a variety of structural applications ranging from civil transportation to aerospace [1]. Stirring casting has been widely used in the preparation of SiCp/A356 composite materials because of its simplicity, flexibility, and applicability to large quantity production. However, there was one problem that was associated with the production of reinforced composited, primarily the difficulty of achieving a homogeneous distribution of reinforcement in the matrix [2].A uniform particle distribution is essential in PMMCs, as it can effectively improve the mechanical properties of composite materials and also reduce the porosity and particle clusters in composites, improve the interfacial condition, and reduce the probability of crack formation and expansion. Hashim et al. [3, 4] reviewed the stirring parameter causing the porosity and particle clustering, which were phenomena of uneven distribution of particles and harmful to the mechanical properties of the composites. Ahmad et al. [5] studied the effects of porosity on the mechanical properties; Zhang and Li [6] and Su et al. [7] studied the effects of the particle clustering on the mechanical properties.In recent years, experimental and CFD simulation methods had been used to study the effects of stirring parameters on the particle distribution in PMMCs. Prabu et al. [8] and El-Kaddah and Chang [9] studied the influence of stirring speed and stirring time on particle distribution by experiment. Naher et al. [10], Ghosh and Ray [11], and Ravi et al. [12] studied the effect of stirring speed on uniform distribution of particles by scaled-up visualization experiments simulation. Naher et al. [13] attempted the particle distribution in the glycerol/water system with experimental and CFD simulation. The experiments and simulation had been conducted with similar characteristics of liquid and particle. But the study of SiC and aluminum characteristics of liquid and semisolid is very little. The process of SiC’s involvement in aluminum alloy is very complicated, including the interaction between the particles and the interaction between the particles and the matrix alloy. The change of stirring temperature, stirring speed, and stirring time impacted on the distribution of particles. At present, the scholars mainly used the experiment or similar characters of particles and fluid to simulate the distribution of particles. But the force and velocity of particles in the stirring casting process are not clear enough, and the reason of particle distribution is not clearly understood for the SiCp/Al composite. Therefore, it is necessary to carry out the experiment at the same time, to further understand the force of particles in the stirring process and to finally know the particles distribution mechanism and the law.The main objective of this work is to study the effects of stirring parameter on the SiC distribution in liquid and semisolid PMMCs with vacuum semisolid stirring casting and numerical simulation. And the study of this work reveals the stirring force, the fluid velocity, and volume fraction of SiC particle under different stirring parameters. The study results will help us to understand the mechanism and law of particle distribution more clearly.The aluminum alloy and particles constituted a two-phase system in which liquid and solid coexisted at the same time. The particle distribution in such systems could be theoretically found by solving the transport equations for both solid and liquid phases. In this study, the Non-Newtonian fluid was considered to determine particle distribution during the stirring process. The particle distribution was determined by the volume fractions of second phase distribution.


## 2. Experimental

### 2.1. Apparatus and Materials

Figure1 shows a sketch of the apparatus to prepare the SiCp/A356 composites by stirring casting, which in essence consists of a stainless steel crucible, a stirring rod, and a vacuum hole for vacuum pumping. The stirring speed varied from 100 to 2000 rpm.Figure 1
The sketch of the experiment equipment.The commercial casting grade A356 aluminum alloy matrix andα-SiC particles with average sizes of 20 μm were selected. The chemical composition of the A356 and SiC is listed in Tables 1 and 2, respectively. The microstructure of the matrix and particles is shown in Figure 2, and the liquid and solid temperature of A356 is 520~620°C, respectively.Table 1
The chemical composition of A356.
Element
Si
Mg
Ti
Fe
Cu
Mn
Ni
Wt.%
7.23
0.332
0.128
0.112
0.001
0.001
0.001Table 2
The chemical composition of SiC.
Element
SiC
C
Si
SiO2
Fe2O3
Wt.%
97.2
0.28
0.23
1.73
0.56Figure 2
Microstructure of A356 and SiC particles.
(a)
(b)


### 2.2. Experimental Procedures

The A356 aluminum alloy was melted under vacuum environment in resistance furnace. Firstly, Mg element was added and degassed vacuum was conducted by means of stirring; secondly, the pretreated SiC particles were added and the stirring was maintained until the temperature dropped to the semisolid temperature and the particles were fully involved to the aluminum; thirdly, the stirring speed was improved and stirring was kept for minutes. Finally, the melt was heated and poured into the metal mold. The metallographic specimen was grinded and the particle dispersion was observed.During the experiment process, under the condition of vacuum, the molten metal was well stirred to degasification, and the SiC particles were involved into the melt. The speed of the stirring rod was ranged from 600 to 1200 rpm. The SiC particles were preheated at 600°C for 2 hours and then fed into the semisolid aluminum alloy. The semisolid composite slurry with SiC was stirred continuously during varying the stirring speed, stirring temperature, and stirring time. The stirring temperature was controlled under 620, 600, and 580°C, and the stirring time was selected at 10, 20, and 30 min after the addition of SiC. The SiC volume percentage of SiCp/A356 composites at different position of the crucible was measured by accounting the SiC particle of metallographic samples, which were polished and viewed in an optical microscope.


## 2.1. Apparatus and Materials

Figure1 shows a sketch of the apparatus to prepare the SiCp/A356 composites by stirring casting, which in essence consists of a stainless steel crucible, a stirring rod, and a vacuum hole for vacuum pumping. The stirring speed varied from 100 to 2000 rpm.Figure 1
The sketch of the experiment equipment.The commercial casting grade A356 aluminum alloy matrix andα-SiC particles with average sizes of 20 μm were selected. The chemical composition of the A356 and SiC is listed in Tables 1 and 2, respectively. The microstructure of the matrix and particles is shown in Figure 2, and the liquid and solid temperature of A356 is 520~620°C, respectively.Table 1
The chemical composition of A356.
Element
Si
Mg
Ti
Fe
Cu
Mn
Ni
Wt.%
7.23
0.332
0.128
0.112
0.001
0.001
0.001Table 2
The chemical composition of SiC.
Element
SiC
C
Si
SiO2
Fe2O3
Wt.%
97.2
0.28
0.23
1.73
0.56Figure 2
Microstructure of A356 and SiC particles.
(a)
(b)


## 2.2. Experimental Procedures

The A356 aluminum alloy was melted under vacuum environment in resistance furnace. Firstly, Mg element was added and degassed vacuum was conducted by means of stirring; secondly, the pretreated SiC particles were added and the stirring was maintained until the temperature dropped to the semisolid temperature and the particles were fully involved to the aluminum; thirdly, the stirring speed was improved and stirring was kept for minutes. Finally, the melt was heated and poured into the metal mold. The metallographic specimen was grinded and the particle dispersion was observed.During the experiment process, under the condition of vacuum, the molten metal was well stirred to degasification, and the SiC particles were involved into the melt. The speed of the stirring rod was ranged from 600 to 1200 rpm. The SiC particles were preheated at 600°C for 2 hours and then fed into the semisolid aluminum alloy. The semisolid composite slurry with SiC was stirred continuously during varying the stirring speed, stirring temperature, and stirring time. The stirring temperature was controlled under 620, 600, and 580°C, and the stirring time was selected at 10, 20, and 30 min after the addition of SiC. The SiC volume percentage of SiCp/A356 composites at different position of the crucible was measured by accounting the SiC particle of metallographic samples, which were polished and viewed in an optical microscope.


## 3. Simulation

The Eulerian multiphase model of Fluent Version 12.1 was used for the simulation of two-phase flow of aluminum and SiC in the crucible. The A356 and SiC were treated as the primary phase and secondary phase, respectively. The viscosity of aluminum slurry was varied with temperature and stirring speed during the melting and stirring process, and the Non-Newtonian power law was used for the viscosity of the different stirring temperature and stirring speed of the aluminum. The standardk-epsilon turbulent model was chosen to model the aluminum and SiC mixing system. The transient change process of fluid was simulated by using Multiple Reference Frame (MRF) and sliding mesh model. The 3D computational model is shown in Figure 3. All of the volume percentages of SiC measurements reported here were taken along the axial and radial direction, which is shown in Figure 3(b).Figure 3
The CFD model and selected position: (a) the plan view and A-A lines represent the plane to view the volume fraction of SiC; (b) the elevation on A-A. Lines L11~L14 and L21~L25 are positions to view the SiC volume fraction in the computational simulation.
(a)
(b)The CFD model was divided into three zones, the rotation zone, stationary zone, and SiC addition zone in the initial time. Before simulation, the SiC was placed in the SiC addition zone and the SiC volume fraction was observed in the simulation process. The top wall of crucible was set to symmetry, and the other wall of crucible was set to stationary wall. The stirring rod wall was set to rotation wall, which rotated in the simulation process.The viscosity of aluminum was important for the simulation, which depended on the temperature, stirring speed, and SiC volume percentage. The aluminum alloy melt was Non-Newtonian fluid. The Non-Newtonian viscosity was chosen for the simulation and modeled according to the following power law for the Non-Newtonian viscosity [14]:(1)η=kγ˙n′-1HT,where η is effective viscosity, k and n′ are input parameters, γ˙ is average shear rate, k is a measure of the average viscosity of fluid (the consistency index), and n′ is a measure of the deviation of the fluid from Newtonian (the power law index). The value of n′ determines the class of the fluid.Einstein’s equation was used to model the viscosity of the PMMC [15]:(2)η1=η01+2.5fs,where η1, η0 represent the viscosity of aluminum alloy melt with and without adding particles and fs is the volume fraction solid.Zhang el al. [16] measured the semisolid slurry of A356 aluminum alloy and developed an empirical equation that shows the effect of fraction solid and shearing rate on the viscosity of semisolid A356 alloy:(3)η=2.79exp⁡6.27fsγ˙-0.7.The viscosity of computational simulation fluid was calculated by (1), (2), and (3). The viscosity was varied with temperature, stirring speed, and volume fraction of SiC particle.The different position of volume fraction of SiC was monitored for simulation and experiment under different stirring temperature, stirring speed, and stirring time. The stirring temperature was 620, 600, and 580°C, the stirring speed was 600, 900, and 1200 rpm, and the stirring time was 30%t, 60%t, and 90%t, where t is the time at which SiC volume fraction reached stable state.The stirring time of numerical simulation is very difficult to correspond to actual experiment accurately. The numerical simulation results are transient values for different times. In the experimental process, the particle dispersion is changing from the particle clusters to the single particle dispersion gradually and can also be approximated to a steady state process, but there is a great difference for steady state time. Therefore, the dispersion of particles at different stages of the steady state was used to assess the stirring time and corresponding to the actual stirring time.


## 4. Results and Discussion

### 4.1. Experimental Results and Analysis

Typical optical microstructures of the SiCp/A356 composite samples obtained after polishing are shown in Figure4. Figure 4 shows the microstructure of composites fabricated at different stirring parameters.Figure 4
Microstructure of SiCp/A356 composites fabricated at (a) 620°C, 900 rpm, and 20 min; (b) 600°C, 900 rpm, and 20 min; (c) 580°C, 900 rpm, and 20 min; (d) 600°C, 600 rpm, and 20 min; (e) 600°C, 1200 rpm, and 20 min; (f) 600°C, 900 rpm, and 10 min; (g) 600°C, 900 rpm, and 30 min stirring.
(a)
(b)
(c)
(d)
(e)
(f)
(g)It can be seen from Figures4(a)–4(c) that the temperature affects the SiC distribution, and the SiC particles are uniform at 580°C and 600°C, 900 rpm, and 20 min stirring. There are many SiC agglomerations at 620°C stirring, where many particles gather together and the large pores exist. The interface between SiC and aluminum alloy is weakened because of the SiC agglomeration [17]. The composite slurry surface is rising with the temperature during the stirring process. Figure 4(a) shows the SiC particle agglomeration in some local area and there are blank areas with no SiC particle. The whole performance of the composites is not even.Figures4(d) and 4(e) reveal the SiC distribution at different stirring speed. Compared with Figure 4(b), the SiC particles are more uniform at 900 rpm and 1200 rpm stirring than 600 rpm stirring. But the interface is not clean because the higher stirring speed scratched the stirring rod and crucible. The composite slurry surface is rising with the stirring speed during the stirring process. Figures 4(f) and 4(g) show that the SiC is more uniform at longer stirring time.


### 4.2. The Numerical Results and Analysis for Different Radial Position

Figure5 is curve of volume fraction of SiC change with the axial direction; the curves represent lines L11~L14 which located at different radial position of crucible. It is observed that the volume fraction of SiC at the bottom of crucible is lower than the top of crucible, and the SiC is poorly dispersed at the position closer to the stirring rod.Figure 5
The volume fraction of SiC changes with the axial direction at different radial position.Figure6 indicates the velocity magnitude, tangential velocity, axial velocity, and radial velocity of L11~L14 change with the axial direction at different radial position. The tangential velocity is the main velocity, and the slurry rotated along a circle in the crucible. The velocity at inner diameter and outer diameter is lower than other radial position, where the line speed is larger because of the high speed movement of the liquid. So the dispersion of SiC is poor at the stirring rod position.Figure 6
The velocity changes with the axial direction at different radial position: (a) velocity magnitude; (b) tangential velocity; (c) axial velocity; (d) radial velocity.
(a)
(b)
(c)
(d)There are fluid exchanges for axial and radial direction at different radial position to achieve mixing and dispersion of SiC particles. The axial velocity of flow near the stirring rod is transferred from the upward to downward movement along the depth of crucible, and the direction of movement of fluid near the crucible is just the opposite and moves downward to upward. Due to the axial velocity and the effect of the particle gravity, the particle can realize the uniform distribution from the top to the whole depth of the crucible. The radial direction of the fluid along the depth direction moved toward the stirring rod (inner diameter) firstly and then turned toward the crucible wall (outer diameter). The particles can be radially exchanged due to the interaction of the radial fluid.


### 4.3. The Numerical Results and Analysis for Different Axial Position

Figure7 is curve of volume fraction of SiC changes with the radial direction; the curves represent lines L21~L25 which located at different axial position of crucible. It reveals that the distribution of particles in the radial direction is relatively uniform near the bottom and top of the crucible, but the SiC are not uniformly distributed in the depth direction at the bottom and top of the crucible.Figure 7
The volume fraction of SiC changes with the radial direction at different axial position.Figure8 represents the velocity magnitude, tangential velocity, axial velocity, and radial velocity of L21~L25 change with the radial direction at different axial position, and the curves are symmetrical about the axis of the stirring rod. It can be seen that the tangential velocity is the main velocity vector at different depth as well; that is, the melt in the crucible moves toward the circumferential direction with the stirring rod. The aluminum alloy liquid velocity near the outer and inner diameter of the crucible is lower, and the speed of the aluminum alloy liquid is higher where the liquid is in contact with the blade of stirring rod. In addition, the velocity at the bottom and top of the crucible is lower but larger in the adjacent position of the stirring bar.Figure 8
The velocity changes with the radial direction at different axial position: (a) velocity magnitude; (b) tangential velocity; (c) axial velocity; (d) radial velocity.
(a)
(b)
(c)
(d)There are fluid exchanges for axial and radial direction at different axial position to achieve mixing and dispersion of SiC particles. The axial velocity at the bottom of crucible moves downward firstly and then turns upward. The upward movement speed increases firstly and then decreases. The flow move direction of axial velocity at the top of crucible is opposite to the bottom, but the size of the moving downward speed is also increased and then decreased. The SiC particles could be distributed uniformly at the top and bottom of crucible because of the existence of the axial velocity and its periodic cycle [18]. The radial velocity of flow along direction of the bottom to the top of crucible moves from the inner diameter to the outer diameter of crucible, and the speed of flow is increased firstly and then decreased. The radial velocity of flow at the top crucible is transferred from the inner diameter to outer diameter of crucible, and the speed of flow is also increased firstly and then decreased. The SiC is distributed uniformly along the radial direction because of the fluid exchanges of inner and outer diameter of crucible.


### 4.4. The Simulation Results and Analysis at Different Stirring Parameters

The simulation results show that the SiC particles distribution in the radial direction is relatively uniform and not uniform in the axial direction. That is, the particle distribution at the bottom and top of crucible is different. In this paper, line L11 data is compared, which is close to the stirring rod located in the inner diameter of crucible, where the particle distribution is poor. The influence of different stirring parameters on SiC distribution is analyzed by comparing the volume fraction of SiC along line L11.The changes of volume fraction of SiC and velocity magnitude along axis direction and forces, moments, and power at different stirring temperature are shown in Figure9. The volume fraction of SiC increases gradually from the bottom to the top of the crucible, and the highest and the lowest value differ 7.8% at 620°C stirring. The results show that the difference of volume fraction of SiC in axial direction is lower with the decreasing of the stirring temperature, and the minimum difference is 4.3% at 580°C stirring. The velocity of flow is a little different, and speed of flow at bottom and top of crucible reduces with the stirring temperature decreasing, but the stirring shear forces, moments, and power increase.Figure 9
The simulated results of L11 at 900 rpm, 60%t, and different stirring temperature: (a) volume fraction along axis direction; (b) velocity magnitude along axis direction; (c) forces, moments, and power.
(a)
(b)
(c)The solid fraction and viscosity of the semisolid slurry are related to stirring temperature, and the slurry solid volume fraction increases with decreases of stirring temperature [19–21], and the slurry viscosity and internal resistance increase as well; the fluid speed becomes low at the same stirring speed. The SiC particles become dispersed more easily because of the friction resistance of SiC particles increasing and improving the uniformity of distribution. In addition, the resistance of the stirring rod and the stirring force of the particle group also increase with the increases of slurry viscosity, which contribute to the dispersion of the particles. The melt liquid level is easy to rise when the temperature is too high, and the whirlpool is big, which is easy to involve the gas. When the temperature is too low, the viscosity increases, and also the moments and stirring power increase resulting in energy loss.Figure10 shows the changes of volume fraction of SiC and velocity magnitude along axis direction, and forces, moments, and power at different stirring speed, and Figure 11 shows the axial and radial velocity simulated at 600°C, 60%t, and different stirring speed along axis direction. The volume fraction of SiC increases gradually from bottom to the top of crucible as well, and the maximum difference is 10.4% at 600 rpm stirring and the minimum difference is 5.8% at 1200 rpm stirring. It can be seen clearly that the volume fraction difference of SiC is little at the 900 rpm and 1200 rpm stirring. The particle distribution is more uniform with the increase of stirring speed. The velocity magnitude, axial velocity, and radial velocity of aluminum liquid increase with acceleration of the stirring speed, which can improve the exchange rate and collision frequency of particles and the stirring rod [21–23]. With the increasing of the stirring speed, the particle dispersion is more uniform, and the moments and power of the stirring rod also increase, but the forces of the stirring rod gradually reduce.Figure 10
The simulated results of L11 at 600°C, 60%t, and different stirring speed: (a) volume fraction along axis direction; (b) velocity magnitude along axis direction; (c) forces, moments, and power.
(a)
(b)
(c)Figure 11
The axial and radial velocity simulated at 600°C, 60%t, and different stirring speed along axis direction.The semisolid aluminum alloy slurry is pseudoplastic fluid [24]. With the increase of stirring speed, slurry viscosity is reducing, and the solid fraction of slurry is also decreasing, resulting in weakening of the shear force and friction on the delegation of the particles, and is detrimental to the dispersion of particles. But with the increase of stirring speed, the velocity of slurry improves, and the displacement of particles per unit of time increases, and the collision frequency of particles and stirring bar increase and are conducive to the dispersion of particles.It can be seen from Figure12 that, with the extension of the stirring time, the particle dispersion in the composite is more uniform, but the velocity magnitude, forces, moments, and power have little change. It is found that the dispersion of the particles is improved with the increase of the stirring time through analyzing the numerical simulation and experimental process and results. The longer the stirring time, the more acting the particles with slurry solid component and stirring rod shear forces, which are conducive to the particle dispersion. However, the longer stirring time will also wear the crucible, mixing rod, and other equipment and bring a variety of inclusion and so on, which is not conducive to the performance of the composite.Figure 12
The simulated results of L11 at 600°C, 900 rpm, and different stirring time: (a) volume fraction along axis direction; (b) velocity magnitude along axis direction; (c) forces, moments, and power.
(a)
(b)
(c)


### 4.5. Comparison of Simulation and Experimental Results

Figure13 reveals the particle distribution simulated and measured in the composite stirring at 600°C, 20 min/60%t, and 900 rpm. The numerical simulation results represent average values at different depth or axial direction of crucible, and experimental results represent the average of the particle content of metallographic sample photos, which were taken from top, middle, and bottom of different position in crucible, and metallographic specimens were made in each location and microstructure pictures were taken 100 times. The Image Pro Plus software was used to account the SiC particle volume fraction in different microstructure. The SiC particle volume fraction in different position of the crucible was measured by taking the average of five metallographic images of microstructure pictures.Figure 13
Simulated and measured particle distribution in the composite (stirring at 600°C, 20 min/60%t, and 900 rpm).It can be seen that the experimental results are basically consistent with the simulation results. The particle content is lower in the bottom of the crucible and higher in the top of the crucible.The solidification process also affects the SiC particle dispersion in the composite due to combined effect of particle settling prior to solidification and particle pushing by the advancing solid-liquid interface during the growth of dendrites [25, 26]. In this paper, the metal mold was used for casting samples and the solidification rate was the same during different stirring process experiment. So the solidification effect can be neglected for the same casting process in this paper.It is found that the axial and radial velocity of fluid control the particle movement direction during stirring the semisolid composite, and the shearing force of stirring rod and semisolid slurry is important for the particle distribution, affected by the stirring parameter in this paper. The effect of stirring parameters on the particle distribution is almost the same with Prabua’s work [8], which is investigated by experiment, but the influence mechanism of stirring parameters is not clear. Ghosh and Ray [11] also studied the effect of stirring parameters on uniform distribution of particle by scaled-up visualization experiments simulation, but the viscosity was not considered and the findings were not in agreement with the actual results as well. The study of this paper established the method to analyze the stirring parameter on the particle distribution and also clarified how the particle distribution is affected by stirring parameters.


## 4.1. Experimental Results and Analysis

Typical optical microstructures of the SiCp/A356 composite samples obtained after polishing are shown in Figure4. Figure 4 shows the microstructure of composites fabricated at different stirring parameters.Figure 4
Microstructure of SiCp/A356 composites fabricated at (a) 620°C, 900 rpm, and 20 min; (b) 600°C, 900 rpm, and 20 min; (c) 580°C, 900 rpm, and 20 min; (d) 600°C, 600 rpm, and 20 min; (e) 600°C, 1200 rpm, and 20 min; (f) 600°C, 900 rpm, and 10 min; (g) 600°C, 900 rpm, and 30 min stirring.
(a)
(b)
(c)
(d)
(e)
(f)
(g)It can be seen from Figures4(a)–4(c) that the temperature affects the SiC distribution, and the SiC particles are uniform at 580°C and 600°C, 900 rpm, and 20 min stirring. There are many SiC agglomerations at 620°C stirring, where many particles gather together and the large pores exist. The interface between SiC and aluminum alloy is weakened because of the SiC agglomeration [17]. The composite slurry surface is rising with the temperature during the stirring process. Figure 4(a) shows the SiC particle agglomeration in some local area and there are blank areas with no SiC particle. The whole performance of the composites is not even.Figures4(d) and 4(e) reveal the SiC distribution at different stirring speed. Compared with Figure 4(b), the SiC particles are more uniform at 900 rpm and 1200 rpm stirring than 600 rpm stirring. But the interface is not clean because the higher stirring speed scratched the stirring rod and crucible. The composite slurry surface is rising with the stirring speed during the stirring process. Figures 4(f) and 4(g) show that the SiC is more uniform at longer stirring time.


## 4.2. The Numerical Results and Analysis for Different Radial Position

Figure5 is curve of volume fraction of SiC change with the axial direction; the curves represent lines L11~L14 which located at different radial position of crucible. It is observed that the volume fraction of SiC at the bottom of crucible is lower than the top of crucible, and the SiC is poorly dispersed at the position closer to the stirring rod.Figure 5
The volume fraction of SiC changes with the axial direction at different radial position.Figure6 indicates the velocity magnitude, tangential velocity, axial velocity, and radial velocity of L11~L14 change with the axial direction at different radial position. The tangential velocity is the main velocity, and the slurry rotated along a circle in the crucible. The velocity at inner diameter and outer diameter is lower than other radial position, where the line speed is larger because of the high speed movement of the liquid. So the dispersion of SiC is poor at the stirring rod position.Figure 6
The velocity changes with the axial direction at different radial position: (a) velocity magnitude; (b) tangential velocity; (c) axial velocity; (d) radial velocity.
(a)
(b)
(c)
(d)There are fluid exchanges for axial and radial direction at different radial position to achieve mixing and dispersion of SiC particles. The axial velocity of flow near the stirring rod is transferred from the upward to downward movement along the depth of crucible, and the direction of movement of fluid near the crucible is just the opposite and moves downward to upward. Due to the axial velocity and the effect of the particle gravity, the particle can realize the uniform distribution from the top to the whole depth of the crucible. The radial direction of the fluid along the depth direction moved toward the stirring rod (inner diameter) firstly and then turned toward the crucible wall (outer diameter). The particles can be radially exchanged due to the interaction of the radial fluid.


## 4.3. The Numerical Results and Analysis for Different Axial Position

Figure7 is curve of volume fraction of SiC changes with the radial direction; the curves represent lines L21~L25 which located at different axial position of crucible. It reveals that the distribution of particles in the radial direction is relatively uniform near the bottom and top of the crucible, but the SiC are not uniformly distributed in the depth direction at the bottom and top of the crucible.Figure 7
The volume fraction of SiC changes with the radial direction at different axial position.Figure8 represents the velocity magnitude, tangential velocity, axial velocity, and radial velocity of L21~L25 change with the radial direction at different axial position, and the curves are symmetrical about the axis of the stirring rod. It can be seen that the tangential velocity is the main velocity vector at different depth as well; that is, the melt in the crucible moves toward the circumferential direction with the stirring rod. The aluminum alloy liquid velocity near the outer and inner diameter of the crucible is lower, and the speed of the aluminum alloy liquid is higher where the liquid is in contact with the blade of stirring rod. In addition, the velocity at the bottom and top of the crucible is lower but larger in the adjacent position of the stirring bar.Figure 8
The velocity changes with the radial direction at different axial position: (a) velocity magnitude; (b) tangential velocity; (c) axial velocity; (d) radial velocity.
(a)
(b)
(c)
(d)There are fluid exchanges for axial and radial direction at different axial position to achieve mixing and dispersion of SiC particles. The axial velocity at the bottom of crucible moves downward firstly and then turns upward. The upward movement speed increases firstly and then decreases. The flow move direction of axial velocity at the top of crucible is opposite to the bottom, but the size of the moving downward speed is also increased and then decreased. The SiC particles could be distributed uniformly at the top and bottom of crucible because of the existence of the axial velocity and its periodic cycle [18]. The radial velocity of flow along direction of the bottom to the top of crucible moves from the inner diameter to the outer diameter of crucible, and the speed of flow is increased firstly and then decreased. The radial velocity of flow at the top crucible is transferred from the inner diameter to outer diameter of crucible, and the speed of flow is also increased firstly and then decreased. The SiC is distributed uniformly along the radial direction because of the fluid exchanges of inner and outer diameter of crucible.


## 4.4. The Simulation Results and Analysis at Different Stirring Parameters

The simulation results show that the SiC particles distribution in the radial direction is relatively uniform and not uniform in the axial direction. That is, the particle distribution at the bottom and top of crucible is different. In this paper, line L11 data is compared, which is close to the stirring rod located in the inner diameter of crucible, where the particle distribution is poor. The influence of different stirring parameters on SiC distribution is analyzed by comparing the volume fraction of SiC along line L11.The changes of volume fraction of SiC and velocity magnitude along axis direction and forces, moments, and power at different stirring temperature are shown in Figure9. The volume fraction of SiC increases gradually from the bottom to the top of the crucible, and the highest and the lowest value differ 7.8% at 620°C stirring. The results show that the difference of volume fraction of SiC in axial direction is lower with the decreasing of the stirring temperature, and the minimum difference is 4.3% at 580°C stirring. The velocity of flow is a little different, and speed of flow at bottom and top of crucible reduces with the stirring temperature decreasing, but the stirring shear forces, moments, and power increase.Figure 9
The simulated results of L11 at 900 rpm, 60%t, and different stirring temperature: (a) volume fraction along axis direction; (b) velocity magnitude along axis direction; (c) forces, moments, and power.
(a)
(b)
(c)The solid fraction and viscosity of the semisolid slurry are related to stirring temperature, and the slurry solid volume fraction increases with decreases of stirring temperature [19–21], and the slurry viscosity and internal resistance increase as well; the fluid speed becomes low at the same stirring speed. The SiC particles become dispersed more easily because of the friction resistance of SiC particles increasing and improving the uniformity of distribution. In addition, the resistance of the stirring rod and the stirring force of the particle group also increase with the increases of slurry viscosity, which contribute to the dispersion of the particles. The melt liquid level is easy to rise when the temperature is too high, and the whirlpool is big, which is easy to involve the gas. When the temperature is too low, the viscosity increases, and also the moments and stirring power increase resulting in energy loss.Figure10 shows the changes of volume fraction of SiC and velocity magnitude along axis direction, and forces, moments, and power at different stirring speed, and Figure 11 shows the axial and radial velocity simulated at 600°C, 60%t, and different stirring speed along axis direction. The volume fraction of SiC increases gradually from bottom to the top of crucible as well, and the maximum difference is 10.4% at 600 rpm stirring and the minimum difference is 5.8% at 1200 rpm stirring. It can be seen clearly that the volume fraction difference of SiC is little at the 900 rpm and 1200 rpm stirring. The particle distribution is more uniform with the increase of stirring speed. The velocity magnitude, axial velocity, and radial velocity of aluminum liquid increase with acceleration of the stirring speed, which can improve the exchange rate and collision frequency of particles and the stirring rod [21–23]. With the increasing of the stirring speed, the particle dispersion is more uniform, and the moments and power of the stirring rod also increase, but the forces of the stirring rod gradually reduce.Figure 10
The simulated results of L11 at 600°C, 60%t, and different stirring speed: (a) volume fraction along axis direction; (b) velocity magnitude along axis direction; (c) forces, moments, and power.
(a)
(b)
(c)Figure 11
The axial and radial velocity simulated at 600°C, 60%t, and different stirring speed along axis direction.The semisolid aluminum alloy slurry is pseudoplastic fluid [24]. With the increase of stirring speed, slurry viscosity is reducing, and the solid fraction of slurry is also decreasing, resulting in weakening of the shear force and friction on the delegation of the particles, and is detrimental to the dispersion of particles. But with the increase of stirring speed, the velocity of slurry improves, and the displacement of particles per unit of time increases, and the collision frequency of particles and stirring bar increase and are conducive to the dispersion of particles.It can be seen from Figure12 that, with the extension of the stirring time, the particle dispersion in the composite is more uniform, but the velocity magnitude, forces, moments, and power have little change. It is found that the dispersion of the particles is improved with the increase of the stirring time through analyzing the numerical simulation and experimental process and results. The longer the stirring time, the more acting the particles with slurry solid component and stirring rod shear forces, which are conducive to the particle dispersion. However, the longer stirring time will also wear the crucible, mixing rod, and other equipment and bring a variety of inclusion and so on, which is not conducive to the performance of the composite.Figure 12
The simulated results of L11 at 600°C, 900 rpm, and different stirring time: (a) volume fraction along axis direction; (b) velocity magnitude along axis direction; (c) forces, moments, and power.
(a)
(b)
(c)


## 4.5. Comparison of Simulation and Experimental Results

Figure13 reveals the particle distribution simulated and measured in the composite stirring at 600°C, 20 min/60%t, and 900 rpm. The numerical simulation results represent average values at different depth or axial direction of crucible, and experimental results represent the average of the particle content of metallographic sample photos, which were taken from top, middle, and bottom of different position in crucible, and metallographic specimens were made in each location and microstructure pictures were taken 100 times. The Image Pro Plus software was used to account the SiC particle volume fraction in different microstructure. The SiC particle volume fraction in different position of the crucible was measured by taking the average of five metallographic images of microstructure pictures.Figure 13
Simulated and measured particle distribution in the composite (stirring at 600°C, 20 min/60%t, and 900 rpm).It can be seen that the experimental results are basically consistent with the simulation results. The particle content is lower in the bottom of the crucible and higher in the top of the crucible.The solidification process also affects the SiC particle dispersion in the composite due to combined effect of particle settling prior to solidification and particle pushing by the advancing solid-liquid interface during the growth of dendrites [25, 26]. In this paper, the metal mold was used for casting samples and the solidification rate was the same during different stirring process experiment. So the solidification effect can be neglected for the same casting process in this paper.It is found that the axial and radial velocity of fluid control the particle movement direction during stirring the semisolid composite, and the shearing force of stirring rod and semisolid slurry is important for the particle distribution, affected by the stirring parameter in this paper. The effect of stirring parameters on the particle distribution is almost the same with Prabua’s work [8], which is investigated by experiment, but the influence mechanism of stirring parameters is not clear. Ghosh and Ray [11] also studied the effect of stirring parameters on uniform distribution of particle by scaled-up visualization experiments simulation, but the viscosity was not considered and the findings were not in agreement with the actual results as well. The study of this paper established the method to analyze the stirring parameter on the particle distribution and also clarified how the particle distribution is affected by stirring parameters.


## 5. Conclusions

The vacuum semisolid stirring casting method and CFD numerical simulation technology were used to study the influence of stirring parameters on the dispersion of the particles in SiCp/A356 composite. The influence factors of SiC dispersion were studied by analyzing the slurry velocity, stirring rod shear forces, moments, and power, and the range of stirring parameters for fabricating SiCp/A356 composites was proposed. The main conclusions could be drawn as follows:(1)
Increasing the axial and radial stirring velocity component is helpful to improve the distribution of the SiC particles in the PMMC.(2)
The greater the shearing force is, the better the dispersion of particles is when the stirring temperature reduced to solid-liquid zone and the near solids.(3)
The higher stirring speed and bigger stirring power are beneficial to the dispersion of particles. However, the viscosity of the slurry decreases with the increase of the semisolid fluid, which is not conducive to the dispersion of particles partly.(4)
The longer the stirring time and the larger the stirring power, the more uniform the particle dispersion.(5)
The particle dispersion of the composites is related to the shear force and the velocity of the fluid.



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*Source: 9413060-2017-04-19.xml*