Heat Pipes for Electronic Devices
Theory: carry by latent heat, return by capillarity
Overview
Why do laptops move CPU heat with heat pipes rather than copper plates?
In thin devices the cross-section for heat is small and the distance long. Copper conducts well for a metal, but a thin rod carrying tens of watts needs hundreds of kelvin end to end. A heat pipe evaporates water inside, carries it as vapour and condenses it, exploiting large latent heat and fast vapour flow; only a few kelvin are needed. But liquid returns solely by capillary action in the wall wick, so transport has a ceiling that also depends on orientation. Estimating that ceiling is central to design.
Capillary limit
σ is surface tension, r_eff effective wick pore radius, K permeability, A_w wick cross-section, h_fg latent heat, L_eff effective length and θ tilt with the evaporator raised. Vapour pressure drop is neglected.
From space to the desktop
The heat-pipe principle was patented in the 1940s but developed in earnest in the 1960s by Grover and colleagues at Los Alamos. Because capillarity returns liquid even without gravity, heat pipes were used for satellite thermal control. When laptops spread in the 1990s they became mass-produced parts carrying CPU heat to fans in thin cases, and today smartphones contain thin vapour chambers.
Worked examples
Example 1: copper rod vs heat pipe (6 mm, 200 mm, 30 W)
| Item | Copper rod | Heat pipe |
|---|---|---|
| Thermal resistance | 17.7 K/W | 0.15 K/W |
| ΔT at 30 W | 531 K | 4.5 K |
| Effective conductivity | 400 W/mK | about 47,000 W/mK |
Example 2: tilt and maximum heat transport (sintered wick)
| Tilt (evaporator up positive) | Gravity loss | Maximum transport | vs horizontal |
|---|---|---|---|
| −90° | −1,929 Pa | 58.3 W | 173% |
| 0° | 0 Pa | 33.7 W | 100% |
| +15° | 499 Pa | 27.4 W | 81% |
| +30° | 964 Pa | 21.4 W | 64% |
| +60° | 1,670 Pa | 12.5 W | 37% |
| +90° | 1,929 Pa | 9.2 W | 27% |
Conditions: water at 60 °C (surface tension 0.0662 N/m, viscosity 4.67×10⁻⁴ Pa·s, density 983 kg/m³, latent heat 2,358 kJ/kg), wick 0.5 mm thick (7.7×10⁻⁶ m²), permeability 5×10⁻¹¹ m², pore radius 50 μm (capillary pressure 2,648 Pa), effective length 0.15 m.
With the evaporator below, it carries 1.7 times the horizontal value.
In terms of the capillary limit alone, yes: gravity pushes liquid back to the evaporator. In practice other limits may come first, such as the boiling limit (too vigorous boiling in the evaporator) or the entrainment limit (fast vapour stripping liquid), so you can't always use that much. The design problem is the opposite orientation: laptops used upright, or layouts with the CPU above the fan, lose a lot. Finer pores raise capillary pressure but lower permeability, slowing liquid flow, so wick design balances the two.
Design and analysis workflow
- Set heat load and the worst plausible orientation (evaporator up).
- Estimate capillary, boiling, entrainment and sonic limits; the lowest governs.
- Model the heat pipe in thermal analysis as a high-conductivity rod or thermal resistance.
- Account for performance loss from bending and flattening.
- Measure temperatures at various orientations to confirm margin.
“A tablet that overheated when upright”
A tablet passed tests lying on a desk, but throttled during long video playback when stood upright on a stand. The processor sat at the upper end of the heat pipe, so standing it up put the evaporator above the condenser. Calculation showed maximum transport fell to about 30% of horizontal in that orientation, too little for the load. A finer-pored wick and a rerouted heat pipe with the evaporator lower solved it.
Common mistakes
Mistakes and fixes
| Mistake | Effect | Fix |
|---|---|---|
| Horizontal only | Shortfall in other orientations | Check worst orientation |
| Capillary limit only | Other limits exceeded | Minimum of all limits |
| Ignoring bends and flattening | Capacity overestimated | Use post-forming values |
| Treating as infinite conductivity | ΔT missed | Include resistance |
| Ignoring cold start | Freezing, poor start-up | Check operating range |
I'd like to learn related topics.
Related pages include heat sink design, junction temperature, board-level thermal analysis, immersion cooling and compact thermal models.
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