across all three trials to within the ±1 °C instrument resolution, with no additional statistical scatter observed
beyond this. Taking the sensor accuracy of ±1 °C on each of the evaporator and condenser readings, the
propagated uncertainty on the evaporator–condenser temperature difference (ΔT = 50 K) is as follows:
δΔT = √[(δTe)² + (δTc)²] = √(1² + 1²) ≈ ±1.41 K
which corresponds to a relative uncertainty of ±1.41/50 ≈ ±2.8% on ΔT. Under the adopted conduction model,
Q = kAΔT/L is directly proportional to ΔT; thus, this ±2.8% relative uncertainty propagates directly to Q: Q =
31.15 ± 0.87 W. Rth and keff, however, do not inherit this uncertainty in the same way. Algebraically, Rth = ΔT/Q
= ΔT/(kAΔT/L) = L/(kA): the ΔT term cancels, so Rth depends only on the pipe geometry (A, L) and the material
conductivity (k) and not on the measured temperature difference. Similarly, keff = QL/(AvaporΔT) =
(kAΔT/L)·L/(AvaporΔT) = kA/Avapor, which also cancels ΔT entirely. The reported values (Rth = 1.605 K/W,
keff ≥ 385 W/m·K) are therefore deterministic under this model given the assumed geometry and conductivity
and are not subject to the ±2.8% ΔT-based uncertainty stated above for Q. Their actual uncertainty would
instead come from geometric measurement tolerance (pipe diameters and length) and the manufacturer-stated
conductivity value — neither of which was independently quantified with an error bound in this study — and
we report this as a limitation rather than assign an unsupported error bar to Rth and keff. The LPG heat input
was not independently met, so no formal uncertainty bound is placed on the source heat flux itself (see
Limitations, Section 5).
5. Limitations
The following limitations bound the scope of the conclusions drawn in this study:
• The SS304 comparison is analytical/numerical only. No independent SS304 heat pipe was fabricated or
tested; the reported 1.17 W, 42.4 K/W, and ~27× performance gaps follow from scaling the copper results
by wall thermal conductivity, holding wick, working fluid, and geometry fixed. Real SS304 units may
perform differently because of wick–fluid compatibility and manufacturing differences (Section 2, ref 6–8).
• The ANSYS model is a single-phase, conduction-only solid-wall representation. It does not resolve vapor–
liquid two-phase flow, evaporation, condensation, or capillary wick transport; its temperature contours
should be read as thermal-field validation under the prescribed boundary conditions, not as direct
confirmation of phase-change phenomena.
• The ANSYS “validation” (Section 4.6.1) is not fully independent, since the evaporator heat-flux boundary
condition is itself derived from the same measured ΔT that the simulation is compared against; a metered
heat input (e.g., an electrical heater of known power) would be needed for a fully independent check.
• No mesh-independent study was performed for the ANSYS model (Section 3.5.2); the default program-
controlled mesh was used throughout.
• The condenser heat-transfer coefficient (h = 25 W/m²·K) is an assumed representative value for low-
velocity forced-air convection, not a measured quantity.
• The heat input of the LPG evaporator was not independently met, and heat loss along the adiabatic-section
insulation was not separately quantified.
• Three temperature measurement locations (evaporator, mid-length adiabatic section, and condenser)
were used; a finer axial resolution and any local hot/cold spots between these points were not resolved
experimentally.
• Wick material and mesh specifications are now documented from the supplier's product listing (SS304
plain weave, 200 mesh, 0.050 mm wire diameter; Section 3.1) — a specification consistent with meshes
typically used as capillary wicks in heat pipes. However, the supplier does not state porosity, permeability,
or wick thickness, and the internal filling/sealing pressure was not recorded for this test article; these
remain unquantified.
• Only three repeated trials were performed. Q has ±2.8% uncertainty in terms of sensor accuracy (Section
4.7); Rth and keff are deterministic under the adopted model given the assumed geometry and material
conductivity, and their true uncertainty (from geometric tolerance and conductivity data) was not
independently quantified.
6. Conclusion
In this study, how the pipe-wall material affects heat-pipe thermal performance was evaluated by combining
direct experimental characterization of a copper–water heat pipe with an ANSYS single-phase thermal model
and an analytical extension to stainless steel 304. With respect to the objectives stated in Section 1, the main
conclusions, stated with their evidentiary basis, are as follows:
• The copper heat pipe achieved a measured steady-state ΔT of 50 K and — analytically derived from that
measurement — a conduction-based Q = 31.15 W, thermal resistance = 1.605 K/W, and minimum vapor
mass flow rate of 1.35 × 10⁻⁵ kg/s via the evaporation–condensation cycle. This directly addresses the