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Thermal Boundary Conditions in Mold Heat Balance: A Practical Guide for Die Designers

September 04, 2026

Thermal Boundary Conditions in Mold Heat Balance: A Practical Guide for Die Designers
This article explains how heat transfer boundary conditions affect mold thermal balance, offering real-world data and design tips for improving cycle time and part quality.

In injection mold design, achieving a stable thermal balance is not just about cooling channel layout—it is fundamentally a heat transfer problem governed by boundary conditions. The mold exchanges heat with three distinct interfaces: the molten polymer (typically 200–280°C for ABS or PC), the cooling water (20–60°C), and the ambient air. Each interface presents a different convection coefficient. For water flowing at 1.5–2.5 m/s in a 10 mm diameter channel, the convective heat transfer coefficient can reach 3,000–6,000 W/m²·K, whereas natural air convection is only 5–25 W/m²·K. Ignoring this difference leads to hot spots near the cavity surface, causing differential shrinkage and warpage. In our shop, we always run a transient thermal simulation with these coefficients before cutting steel, because a 10°C imbalance across the cavity can increase cycle time by 15–20%.

The key is applying the correct thermal boundary condition at the mold–polymer interface. During the packing phase, the polymer surface temperature is assumed equal to the melt temperature, but as the part solidifies, the interface resistance increases. A common engineering approach is to use a heat flux boundary condition that varies with time, derived from the cooling time equation: t = (s²/πα) * ln[(Tm–Tw)/(Te–Tw)], where s is wall thickness, α is thermal diffusivity (for P20 steel, α ≈ 1.2×10⁻⁵ m²/s), and Tm, Tw, Te are melt, water, and ejection temperatures. For a 2.5 mm ABS part with Tm=230°C, Tw=40°C, and Te=80°C, the theoretical cooling time is about 18 seconds. But if you assume a constant wall temperature instead of a time-dependent heat flux, the calculation underestimates cooling by up to 25%. We therefore recommend using a third-type boundary condition (convective) on the cavity surface, with a heat transfer coefficient that decays as the polymer shrinks away from the steel—typically from 2,000 W/m²·K at the start of packing to 100 W/m²·K at ejection.

For production molds, we also account for the heat extracted by ejector pins and slide mechanisms, which act as local heat sinks. A 6 mm ejector pin touching a 180°C cavity surface can pull heat at a rate of roughly 40–60 W per pin, which is non-negligible when you have 30 pins. This is why we place cooling channels within 1.5–2 times the channel diameter from the cavity surface, and we use baffles or bubblers in deep cores to maintain turbulent flow (Re > 4,000). After each trial run, we measure the mold surface temperature with an infrared camera and compare it to our simulation—if the deviation exceeds 5°C, we adjust the water flow rate or add a local cooling insert. Thermal balance is a continuous tuning process, not a one-time calculation. For more detailed case studies on mold thermal design and sourcing of high-efficiency cooling components, visit MoldWorld at www.moldw.com.