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Heat Pipe Thermal Resistance & Capillary Limit Calculator

Model electronics cooling heat pipes: maximum capillary heat transport limit (Qmax), thermal resistance network (Rhp), effective length, wick capillary pressure, and vapor core dynamics.

1. Heat Pipe Geometries & Wick Structure

2. Operating Thermal State & Orientation

Pumping Limit & Resistance Results

114.5 Watts
Maximum Capillary Limit (Qmax)
0.078 °C/W
Total Thermal Resistance (Rhp)
5.1 °C
End-to-End Temperature Drop (ΔT)
5.24 kPa
Max Capillary Pumping Pressure (ΔPc,max)
34,500 W/m·K
Effective Thermal Conductivity (keff)
56.8 % of Limit
Thermal Load Safety Margin (Q / Qmax)
150 mm
Effective Transport Length (Leff)

Internal Architecture & Thermal Resistance Circuit

Left: Evaporator / Adiabatic / Condenser Flow Right: Resistance Network Components

5 Fatal Engineering Traps in Heat Pipe Thermal Design

1. Capillary Dryout Burnout & Rapid Thermal Runaway

If power dissipation on the evaporator exceeds the maximum capillary pumping limit (Q > Qmax), liquid returns through the wick slower than it evaporates. The porous wick dries out completely. Without liquid to absorb latent heat, evaporator wall temperature surges within seconds by 80°C–150°C, destroying high-power CPUs or GPUs.

2. Adverse Gravity Tilt in Laptop & Vehicle Orientations

Operating a heat pipe with the evaporator physically elevated above the condenser (adverse tilt, ψ < 0°) forces capillary action to fight hydrostatic gravity head (ΔPg = ρl · g · L · sin(ψ)). Grooved or mesh wicks lose up to 85% of their heat capacity when tilted upwards by just 10 degrees, causing unexpected thermal throttling in handheld devices.

3. Non-Condensable Gas (NCG) Blanketing from Aluminum Reaction

Using water as a working fluid inside aluminum tubes creates an electrochemical reaction generating non-condensable hydrogen gas. Vapor sweeps hydrogen into the cold condenser tip, creating an insulating gas bubble that blocks the condensation zone. The effective heat pipe length progressively shrinks until the cooler fails.

4. High-Velocity Vapor Shear & Entrainment Liquid Stripping

At high heat fluxes, high-speed countercurrent vapor rushing past the porous wick surface exerts severe interfacial shear stress. If the Weber number exceeds unity (We > 1), the vapor jet tears liquid droplets directly out of the wick pores and flings them into the condenser, starving the evaporator wick of return liquid.

5. Post-Assembly Pipe Bending & Sintered Wick Delamination

Bending cylindrical sintered heat pipes into intricate shapes around chassis components without precision internal mandrels crushes the vapor space and shears the sintered copper powder off the inner copper tube. Delaminated wick particles float freely, choking capillary flow channels and increasing thermal resistance tenfold.

Capillary Limit & Fluid Transport Formulations (Cotter & Peterson)

Maximum capillary pumping pressure developed by porous wick pores of radius reff:

ΔPc,max = [ 2 · σ · cos(θc) ] / reff

Hydrodynamic pressure balance for continuous steady-state operation:

ΔPc,max ≥ ΔPliquid + ΔPvapor ± ΔPgravity

Liquid viscous pressure drop via Darcy's Law in porous media:

ΔPliquid = [ μl · Leff · Q ] / [ ρl · Awick · K · hfg ]

Maximum capillary heat transport limit (Qmax):

Qmax = [ ΔPc,max - ρl · g · Ltotal · sin(ψ) ] / [ ( μl · Leff ) / ( ρl · Awick · K · hfg ) + ( 8 · μv · Leff ) / ( π · ρv · rv4 · hfg ) ]

Frequently Asked Questions

What is the Capillary Limit (Q_max) in a heat pipe? +
How does wick structure (sintered copper powder vs grooved vs mesh screen) affect performance? +
What is the thermal resistance (R_hp) of a heat pipe and how is it calculated? +
Why is water-aluminum incompatibility catastrophic for heat pipes? +
How is the effective length (L_eff) of a heat pipe defined? +
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