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Cooling Channel Design Based on Fourier's Law: Distance, Spacing, and Thermal Hot Spot Control

Time: 2026-07-06 views: 50 Keywords:precisioner die-casting mold hpdc mold diecasting mold design
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Introduction:


For every 1 mm increase in the distance from the cooling channel to the cavity surface, cooling efficiency drops by about 20% under typical HPDC conditions—this is a direct corollary of Fourier's law. But the real issue is that poor cooling channel design not only affects porosity but also directly determines cycle time and die life.


For many molds, the root cause of hot spot problems lies not in the gating system but in the cooling channel layout. Starting from the fundamental physical law of heat conduction, this paper provides quantitative relationships between channel distance, spacing, and temperature field uniformity, and presents actual performance data for conformal cooling.

Body:


The rate at which cooling water removes heat is given by Fourier's law:


*q* = −*k* · ΔT / *d*


where *d* is the distance from the channel center to the cavity surface. When *d* increases from 10 mm to 12 mm (+20%), the heat flux *q* decreases by about 17%; when it increases to 15 mm (+50%), *q* decreases by 33%.


Optimum spacing


The relationship between channel spacing *s* and diameter D directly affects temperature field uniformity. Steady-state heat conduction analysis shows that
at *s*/D = 2, the temperature fluctuation is approximately ±8 °C; at *s*/D = 4,
the fluctuation is about ±20 °C. Excessive temperature fluctuations exacerbate thermal fatigue and shorten die life.

Quantitative benefits of conformal cooling


Traditional straight-line channels, limited by machining, typically exhibit a variation in d of 5--8 mm, resulting in temperature fluctuations of ±15 °C. Conformal cooling keeps d constant, with fluctuations controlled within ±3 °C, thereby:

In the case study below, conformal cooling delivered:
- reducing cooling time by 15–25%;
- lowering hot spot temperatures by 30–40 °C;
- significantly reducing shrinkage tendency.

Design procedure
1. Identify hot spot regions (temperature > 350 °C) using thermal imaging or mold flow analysis.
2. Calculate the required cooling capacity: Q = ρ · V · cₚ · ΔT/t_cycle.
3. Determine the channel diameter: D = 4Q / (π · v · ρ_water · cₚ,water · ΔT_water).
4. The minimum turning radius for conformal cooling channels should be ≥ 3D to avoid flow separation.
5. Implementation: 3D printing or split inserts with seals.


Precisioner: Thermal Imaging Comparison of Mold Cooling


Case data
In a motor housing die-casting mold, the original straight-line channels had
*d* = 12–20 mm, a cycle time of 98 seconds, and a porosity rate of 5.2% at the hot spot. After adopting conformal cooling channels (*d* = 10 mm constant), the cycle time dropped to 74 seconds, porosity fell to 0.7%, and die life increased from 70,000 shots to 180,000 shots.


Precisioner: Cooling Channel Design Comparison


Author: Precisioner metal Engineering Team.


We have indeed reaped benefits from conformal cooling, but every part is different. What experiences have you had with complex parts?
Contact our engineering team to discuss how conformal cooling can optimize your specific application.

info@precisioner.com

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