Process Design and Numerical Simulation of Lost Foam Casting for Grey Cast Iron End Caps

This study investigates the optimization of lost foam casting parameters for HT200 grey cast iron end caps to address porosity, slag inclusion, shrinkage, and other defects. Three gating systems (top, middle, and bottom pouring) were designed, with numerical simulations conducted using ProCAST software to analyze filling patterns, solidification behavior, and defect formation. Orthogonal experiments were performed to determine optimal process parameters, followed by production verification.


Lost Foam Casting Process

1. Gating System Design

The closed gating system for lost foam casting follows the proportional relationship:

$$
\sum F_{\text{inner}} : \sum F_{\text{runner}} : \sum F_{\text{sprue}} = 1 : 1.2 : 1.4
$$

Inner gate area calculation uses the hydraulic formula:

$$
\sum F_{\text{inner}} = \frac{G}{0.31\mu t \sqrt{H_p}}
$$

where $G$ represents molten metal mass (kg), $\mu$ is flow coefficient, and $H_p$ denotes average pressure head height.

Table 1. Cross-sectional Areas of Gating Components
Pouring Type Inner Gate (mm²) Runner (mm²) Sprue (mm²)
Top Pouring 7×24 9×24 24×24
Bottom Pouring 10×35 12×35 35×35
Middle Pouring 11×11 11×27 27×27

2. Numerical Simulation Analysis

The lost foam casting process was simulated with ProCAST using EPS foam properties:

$$
\begin{aligned}
\text{Density} &= 22\ \text{kg/m}^3 \\
\text{Thermal Conductivity} &= 0.15\ \text{W/(m·K)} \\
\text{Specific Heat} &= 3.7\ \text{kJ/(kg·K)}
\end{aligned}
$$

Table 2. Solidification Time Comparison
Pouring Type Filling Time (s) Total Solidification Time (s)
Top 10.95 416.21
Middle 11.72 416.48
Bottom 12.97 556.22

3. Orthogonal Experiment Design

A $L_9(3^4)$ orthogonal array examined two critical parameters in lost foam casting:

$$
\begin{aligned}
\text{Pouring Temperature} &: 1,360-1,420^\circ\text{C} \\
\text{Negative Pressure} &: 0.02-0.06\ \text{MPa}
\end{aligned}
$$

Table 3. Orthogonal Test Results
Run Temp (°C) Pressure (MPa) Porosity (cm³)
1 1,360 0.02 4.728
2 1,360 0.04 3.128
3 1,360 0.06 2.930
4 1,390 0.02 3.492
5 1,390 0.04 3.128
6 1,390 0.06 3.517
7 1,420 0.02 3.321
8 1,420 0.04 3.578
9 1,420 0.06 3.005

4. Results and Discussion

Range analysis revealed parameter significance:

$$
R_{\text{Pressure}} = 2.094 > R_{\text{Temperature}} = 0.882
$$

The optimal lost foam casting parameters were determined as:

$$
\begin{cases}
\text{Pouring Temperature} = 1,420^\circ\text{C} \\
\text{Negative Pressure} = 0.06\ \text{MPa}
\end{cases}
$$

Table 4. Range Analysis Results
Factor K₁ K₂ K₃ R
Temperature 10.786 10.137 9.904 0.882
Pressure 11.541 9.834 9.447 2.094

5. Production Verification

Implementing optimized lost foam casting parameters achieved:

$$
\begin{aligned}
\text{Porosity Volume} &= 3.005\ \text{cm}^3 \\
\text{Process Yield} &= 77.7\% \\
\text{Tensile Strength} &= 147-155\ \text{MPa}
\end{aligned}
$$

The bottom-pouring system demonstrated superior performance in lost foam casting due to its stable filling pattern and effective feeding through large runners. This study confirms that proper parameter selection in lost foam casting significantly reduces defects while maintaining mechanical properties.

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