Insight

A technical analysis of the role of the radial air gap, “apparent” thermal conductivity, and design implications for ACR systems.
In construction practice, the issue of insulation of refrigeration and hydronic lines is often reduced to two parameters: sheathing thickness and declared λ. This is a simplification that does not stand up to comparison with the experimental literature of the past 15 years. The figure that appears on the data sheet of a PE foam or elastomer insulation is almost always measured under conditions that do not correspond to those of the actual installation, and the difference is not a detail: in some configurations the actual performance deviates from that stated by more than 15 percent.
The objective of this article is to clarify why, for the same insulation material and nominal thickness, a system in which the sheathing is co-extruded or otherwise made integral with the copper pipe at the manufacturing stage offers measurably higher performance than an insulator strung on site-and why this difference weighs in thermal load calculations and operating costs.
For a cylindrical tube in steady state, the thermal resistance per unit length is the sum of three contributions in series:
R_tot = R_conv_int + R_cond_parete + R_cond_isol + R_conv_est
In the case of an insulated copper refrigeration line, the copper conduction and internal convection terms are negligible compared with the insulation resistance. The reference formula for insulation resistance is the classical formula for the cylindrical wall:
R_cond_isol = ln(D2 / D1) / (2 · π · λ)
Where:
The whole calculation holds on an often unstated assumption: that there is nothing between D1 (copper) and the inner diameter of the sheath. In practice there is almost always a radial air gap, and that gap changes the physics of the system.
Commercial conduits made of PE foam, FEF (flexible elastomeric foam), PUR, and the like are produced with an inner diameter slightly larger than the nominal diameter of the pipe to allow it to be threaded or opened longitudinally and sealed with adhesive. This is an installability requirement, not a product defect.
The problem is that that clearance generates an air gap of varying thickness, in which two phenomena are triggered that worsen thermal performance:
1. Natural convection in the cavity. Air is not a good insulator when it can move: the conductivity of still air is about λ_air = 0.026 W/(m-K), but with natural convection in a vertical or horizontal annulus the equivalent conductivity increases nonlinearly with gap thickness.
2. Chimney effect along the axis of the pipe. On long straight sections, the gap functions as a preferential pathway for convective heat transport along the axial direction, especially in vertical sections and in the presence of significant thermal gradients (hot gas lines of heat pump air conditioners, for example).
Porzuczek, in a 2024 experimental study conducted at Cracow University of Technology and published in Materials in accordance with ISO 8497, points out that the “apparent” (or actual) thermal conductivity of a product can only be measured properly with pipe insulation testing apparatus: the guarded hot plate (GHP) method, by which many of the λ values claimed on the board are produced, does not reproduce the cylindrical geometry nor the natural convection that is generated around real insulation.
In design terms, it means that the value of λ printed on the sheath box can be correct as laboratory data but not as system data. This is a distinction that, until the 2000s, was often overlooked even in product standards.
Porzuczek’s study (2024) tested ten samples of commercial pipe sheathing (mineral wool, PUR, PEF, FEF, EPS) mounted on a nominal 20 mm pipe-typical geometry of split refrigeration lines-according to ISO 8497, maintaining the air gap that is generated in the actual installation. Main results:
| Material | λ at 10 °C declared [W/(m-K)] | λ at 10 °C measured [W/(m-K)] | Strain |
|---|---|---|---|
| Mineral wool (MW-1) | 0,033 | 0,033 | within the limits |
| Mineral wool (MW-2) | 0,033 | 0,033 | within the limits |
| Polyurethane (PUR-1) | 0,032 | 0,034 | +6% |
| Polyurethane (PUR-2) | 0,032 | 0,035 | +9%, up to +10% at 100 °C |
| Polyethylene foam (PEF-1) | 0,038 | 0.036 at 10 °C, up to +16.4% at 80 °C after cycles | out of limit |
| Flexible Elastomer (FEF-1) | 0,037 | 0,039 | +5% |
| Flexible Elastomer (FEF-2) | 0,037 | 0,041 | +11% |
| EPS | 0,036 | 0,036 | within the limits |
Source: Porzuczek 2024, Tab. 3.
Five out of ten samples-all of which are regularly on the market and declared to comply with product standards-showed conductivity measured in situ higher than declared, in two cases exceeding the +10% limit stipulated by ISO 13787.
For PEF in particular, the study found a cumulative phenomenon: in five successive measurements at 80 °C, λ increased progressively from +9.6 percent to +16.4 percent over the stated value. Porzuczek hypothesizes cellular structure alterations at the allowable temperature limit, but the operative point is clear: under severe operating conditions, PEF performance can degrade over time.
On PUR, the same study identifies a specific cause: convection in the radial air gap increases heat loss, especially at higher temperatures. Due to the stiffness of the material, the radial air gap cannot be completely eliminated by compression. This is the inherent limitation of any rigid insulation strung after the fact.
To these data should be added a less recent but still cited result in the literature: ASTM published under C335 a collection of tests (more than 150 tests over two years) that found, on a 305-mm section of pipe with a longitudinal gap of only 6.4 mm at a butt joint, a 15% deterioration in thermal performance.
Insulation sizing is not just a regulatory compliance issue: it directly affects the operating costs of the plant and the payback of the initial investment.
Yıldız and Ersöz, in two papers in 2015 and 2016 published in Energy and Renewable and Sustainable Energy Reviews, calculated the optimal economic thickness for gas and liquid lines of R-410A VRF systems. Their results indicate that, for the same refrigerant, the optimum thickness varies between 9 and 12 mm for the gas line and between 6 and 9 mm for the liquid line, with payback times of less than a year for the most unfavorable situations.
The study by Daşdemir, Ertürk, Keçebaş and Demircan (2017), published in Energy, extended the analysis to include the effect of the air gap. The conclusion is that, on small-diameter pipes such as those typical of split refrigeration lines (Ø < 1″), the air gap weighs more than the thickness of the insulation itself on the energy balance, while on large-diameter pipes it is the thickness that dominates.
Abujab and Abusafa, in a case study of a VRF system published in Energy Reports in 2022, quantified the reduction in energy losses with insulation at the optimal thickness between 78.5 percent and 81.6 percent compared to an uninsulated system. The figure itself is expected, but it is important to note that those calculations assume perfectly adhered insulation: each cm² of air gap subtracts percentage points from that reduction.
A system in which the sheath is applied at the production stage-by direct extrusion onto copper, or by thermal processes that adhere a pre-formed closed-cell PE foam sheath to the outer diameter of the pipe-solves the problem at its root. The difference is not cosmetic:
The reference standard for closed-cell PE foam applied to ACR pipes is EN ISO 15758, while copper must comply with EN 12735-1 for air conditioning and refrigeration applications (R32, R410A, R407C). The minimum fire classification required for indoor installation is BL-s1-d0 according to EN 13501-1.
Based on the above, some operational guidance for those designing or installing ACR systems:
Under specification:
In the process of laying:
Under review:
The difference between a pre-insulated system with sheathing integral to the pipe and a system with insulation strung on site is not a marketing issue. It is a measurable thermophysical fact, documented in independent literature and quantifiable in percentage points of system efficiency.
In design calculations there is a tendency to use the stated λ as the input data-it is established practice and in many cases the only data available. Porzuczek’s 2024 study, along with previous literature on the effect of air gap, shows that this approach systematically underestimates actual leakage, in some cases by 10-16%. On a medium-to-large VRF system, over a useful life horizon of 10-15 years, those percentage points translate into non-negligible operating costs and generator sizing that may prove insufficient under peak conditions.
For those designing and installing ACR systems, the operational message is simple: treat sheathing adhesion as a technical parameter, not a product detail. The difference between a correct data sheet in the lab and an efficient system in place goes from there.