Heat Pipe Simulator: Two-Phase Thermal Transport Performance

simulator advanced ~12 min
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k_eff ≈ 12,000 W/(m·K) — 30× better than copper

A standard 8 mm copper-water heat pipe at 60°C transporting 50 W over 20 cm achieves an effective thermal conductivity of roughly 12,000 W/(m·K) — about 30 times higher than solid copper.

Formula

k_eff = Q × L_eff / (A_cross × ΔT) (effective thermal conductivity)
Q_capillary = (2σ/r_wick − ρ_l·g·L·sinθ) × K·A_wick × ρ_l × h_fg / (μ_l × L_eff)
R_total = R_evap + R_vapor + R_cond (thermal resistance network)

Two-Phase Magic

A heat pipe harnesses the enormous energy of phase change to transport heat with almost no temperature drop. When liquid evaporates at the hot end, it absorbs the latent heat of vaporization — about 2,260 kJ/kg for water. The vapor rushes to the cold end at near-sonic speed, condenses, and releases that energy. The wick structure then pulls the liquid back by capillary action. This closed-loop cycle creates an effective thermal conductivity 25–100 times higher than solid copper, which is why heat pipes are inside virtually every laptop.

The Capillary Engine

The wick is the heart of a heat pipe. Its pore structure generates capillary pressure that pumps the working fluid against gravity and viscous resistance. Sintered powder wicks offer high capillary pressure but lower permeability. Grooved wicks provide easy fluid flow but weaker capillary force. Screen mesh wicks balance both. The simulation models capillary-driven flow and shows the pressure balance that determines the maximum heat transport capacity.

Operating Limits

Every heat pipe has a maximum heat transport rate governed by whichever limit is reached first: capillary (wick pumping capacity), boiling (nucleate boiling disrupts the liquid film), entrainment (high-velocity vapor strips liquid from the wick), viscous (insufficient vapor pressure at startup), or sonic (vapor velocity reaches Mach 1). This simulation evaluates all five limits and highlights the active constraint, helping engineers design within safe operating margins.

From Laptops to Spacecraft

Heat pipes cool laptop CPUs, smartphone processors, LED arrays, satellite electronics, and nuclear reactor cores. Variable-conductance heat pipes (VCHPs) use a non-condensable gas to self-regulate temperature. Loop heat pipes (LHPs) separate the vapor and liquid paths for longer transport distances. Pulsating heat pipes use oscillating liquid slugs without any wick. This simulation covers the fundamental straight heat pipe, but the principles extend to all these advanced variants.

FAQ

How does a heat pipe work?

A heat pipe is a sealed tube containing a working fluid and a capillary wick. Heat applied at the evaporator vaporizes the fluid, which flows to the cooler condenser end where it releases latent heat and condenses. The wick then draws the condensate back to the evaporator by capillary action. This two-phase cycle transports heat with extremely low thermal resistance.

Why is a heat pipe better than a solid copper rod?

A heat pipe exploits latent heat of vaporization, which carries far more energy per unit mass than sensible heat conduction. A typical copper-water heat pipe achieves effective conductivity of 10,000-50,000 W/(m·K), compared to 400 W/(m·K) for solid copper. This 25-100x improvement makes heat pipes essential in laptop cooling and spacecraft thermal control.

What limits heat pipe performance?

Several limits constrain heat pipe operation: the capillary limit (wick cannot pump enough fluid), the boiling limit (nucleate boiling disrupts liquid film), the entrainment limit (vapor shear strips liquid from wick), the viscous limit (at startup, vapor pressure insufficient), and the sonic limit (vapor reaches Mach 1). The lowest applicable limit determines maximum heat transport.

What working fluids are used in heat pipes?

Water is used for 30-200°C (most common in electronics). Ammonia for -60 to 100°C (spacecraft). Methanol for 10-130°C. Sodium for 600-1200°C (nuclear reactors). The fluid must have high latent heat, good wetting, and suitable vapor pressure at the operating temperature.

Sources

Embed

<iframe src="https://homo-deus.com/lab/heat-transfer/heat-pipe/embed" width="100%" height="400" frameborder="0"></iframe>
View source on GitHub