Numerical Simulation and Optimization of Precision Investment Casting for Turbine Components

Precision investment casting is widely employed in manufacturing complex turbine components due to its ability to produce near-net-shape parts with exceptional dimensional accuracy. This study focuses on optimizing the casting process of a turbine nozzle using numerical simulations, with an emphasis on reducing defects and improving metal utilization. The methodology integrates computational modeling, process parameter adjustments, and experimental validation to achieve high-quality castings compliant with aerospace standards.

Process Challenges and Initial Simulation

The turbine nozzle, fabricated from K4169 superalloy, features thin-walled sections (0.5 mm) and thick flanges (24 mm), creating significant challenges in maintaining directional solidification. The initial casting design utilized a combined top-bottom gating system with six oversized risers, resulting in turbulent filling patterns and low metal utilization (12.13%). ProCAST simulations revealed critical issues:

$$
\frac{\partial T}{\partial t} = \alpha \nabla^2 T + \frac{Q}{\rho c_p}
$$

Where \( T \) represents temperature, \( \alpha \) thermal diffusivity, \( Q \) latent heat, \( \rho \) density, and \( c_p \) specific heat. The initial process exhibited:

  • Vortex formation during flange filling (40–60% fill stage)
  • Isolated liquid zones at blade-root junctions
  • Macroporosity in 37% of blade sections
Parameter Initial Design Optimized Design
Riser Quantity 6 8
Riser Height (mm) 110 40
Gating Type Top-Bottom Bottom-Up
Metal Utilization 12.13% 43.18%

Optimization Strategy

The redesigned precision investment casting system incorporated three key modifications:

  1. Gating System Revision: Implemented bottom-fed filling with tapered sprue:

    $$
    v(t) = v_0 \left(1 – e^{-t/\tau}\right)
    $$

    Where \( v_0 \) = 1.2 m/s initial velocity and \( \tau \) = 0.8 s damping constant.

  2. Riser Configuration: Distributed eight compact risers (40mm height) around the flange using hexagonal packing:

    $$
    N_{\text{risers}} = \left\lfloor \frac{\pi D}{d + s} \right\rfloor
    $$

    (\( D \)=366mm flange diameter, \( d \)=40mm riser diameter, \( s \)=15mm spacing)

  3. Mold Optimization: Inserted zirconia sand cores between blades to enhance cooling uniformity:

    $$
    \dot{q}_{\text{core}} = k_{\text{core}} \frac{T_{\text{melt}} – T_{\text{mold}}}{\delta_{\text{core}}}
    $$

Simulation Results and Validation

The optimized precision investment casting process demonstrated:

  • Laminar filling sequence completed in 6.8s (vs. 4s turbulent filling in initial design)
  • Directional solidification gradient of 12°C/mm from blade tips to risers
  • Zero shrinkage defects in X-ray inspection of 50 production castings
Quality Metric Initial Optimized
Surface Turbulence Index 4.7 1.2
Solidification Time (min) 18.5 22.3
Microporosity (% area) 0.15 <0.02

Industrial Implementation

The optimized precision investment casting process achieved 100% compliance with EMS52301/2 specifications while reducing unit cost by 63% through:

$$
\text{Cost Savings} = \left(1 – \frac{m_{\text{optimized}}}{m_{\text{initial}}}\right) \times 100\% = \left(1 – \frac{16.2}{59.8}\right) \times 100\% = 72.9\%
$$

Key production parameters for replicating this precision investment casting methodology include:

  • Shell preheat temperature: 1050°C ±15°C
  • Vacuum level: 0.08–0.1 mbar
  • Cooling rate: 8–12°C/min between 1350–1000°C

This systematic approach to precision investment casting optimization demonstrates how numerical simulation can simultaneously improve quality metrics and production economics in high-performance alloy casting.

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