Copper Thermal Straps | Graphite Thermal Straps | Measuring Thermal Strap Conductance
Thermal straps (commonly referred to as "flexible thermal links," "heat straps," and "thermal braids,"), are passive heat transfer devices consisting of end fittings (brackets/terminals/lugs), and a flexible conductive material such as copper cable or foil, aluminum foil, and graphite sheets or fiber bundles. They are a unique thermal management solution, offering a combination of flexibility, and vibration attenuation, damping, and isolation. This combination sets thermal straps apart from heat pipes, flexible vapor chambers, and all other passive or active cooling and vibration isolation systems.
Thermal straps transfer heat between two or more locations (a heat source and sink), and protect sensitive and valuable equipment when movements from shock, vibration, mechanical function, and thermal expansion or contraction occur. These can be related to events such as rocket launch, cryostat & cryocooler cool-down, and the day-to-day shock and vibration profiles associated with ground-based and airborne vehicle & equipment operation. They can be paired with vibration isolation systems and heat pipes to provide additional attenuation, heat transfer, and mechanical decoupling, and are most frequently used in aerospace, and cryogenic engineering, semiconductor, light source, synchrotron, and other engineering applications.
While sometimes thought of as simple hardware, straps are critical components in numerous thermal management systems. They play an important role in terrestrial systems, both in electrical component cooling at warmer operating temperatures and in cryogenic applications utilizing cryocoolers, dilution refrigerators, cold boxes, cryostats, and other cold laboratory equipment.
For additional thermal link information, download our handout: Thermal Straps - Performance, Pricing, and Product Options, and be sure to request copies of our catalogs. TAI offers hundreds of standard model thermal straps in addition to custom strap design, manufacturing, and test services, and can provide you with pricing, as well as mass and thermal conductance projections for any flexible link you may require.
TAI's Thermal Strap Heritage
Our thermal strap design, test, and manufacturing heritage spans three decades and began with our very own, Scott Willen, who developed the first Graphite Fiber Thermal Straps (GFTS®), in SBIR Ph I and II contracts with the USAF in 1996 (this research was later published in Cryocoolers 11). GFTS® products gained popularity in 2011 - 2013, when several dozen assemblies, co-designed and manufactured by TAI Quality Manager, Trevor Sperry, were used to cool the phased antenna arrays and data acquisition systems on the ORION spacecraft, and compressors on JAXA's Astro-H satellite. Since 2015, GFTS® have played vital roles in notable programs such as Boeing's CST-100 Starliner, NASA's IXPE and GRACE-FO satellites, ESA's Solar Orbiter, DLR’s EnMAP, and several other spaceflight missions (in addition to ground-based applications in the medical and cryogenic engineering industries).
Our Copper Thermal Strap (CuTS®) heritage began in 2004, with our first-generation solderless copper braided straps (offered until 2014). TAI was the first and only supplier to offer a fully customizable standard product line and catalogs, both created by our Director of Business Development, Tyler Link, in 2013. Two years later, TAI developed OFHC UltraFlex cabling, optimized end fitting design, and improved swage & final machining methods. In 2017, this new generation of straps was studied extensively by Fermi National Lab and other universities and laboratories (research was later published in volume 86 of the Journal Cryogenics, and co-authored by TAI's Tyler Link and Jamie Deal).
Work with Pyrolytic Graphite Film-based straps began in 2013, culminating in the X-Series® Strap; the world's first and only graphite and graphene sheet thermal strap standard product line. X-Series® PGF-based thermal links (PGL™) were then space-qualified by NASA JPL in 2018 and advanced to TRL 8 with spaceflight qualification testing performed by Airbus and the DLR, on the Merlin program. PGL™ now plays vital roles in spaceflight programs with Lockheed Martin, Airbus, the DLR, and CNES (and like GFTS®, are also being used for ground-based applications in the medical and cryogenic engineering industries).
Which Thermal Strap is Best for Your Application?
With multiple products to choose from, it is essential to understand which material and configuration may make the most sense for your program, in light of the performance requirements, and the environmental/operational conditions. The table below outlines some of the most common applications, their operating temperatures, and the commonly used strap types:
Though the application and operating temperature are important, there are several additional factors to consider when identifying the ideal thermal strap material and configuration. Your program will likely also need to identify and weigh the following when determining the optimal strap in each situation:
|•MASS LIMITATIONS||•VIBRATION TRANSMISSION|
|•VOLUME RESTRICTIONS||•OPERATIONAL ENVIRONMENT|
|•THERMAL CONDUCTANCE||•FINANCIAL COSTS/BUDGET|
|•CTE/MATERIAL MISMATCH||•STIFFNESS REQUIREMENTS|
|•RANGE OF MOTION||•SPACEFLIGHT HERITAGE|
|•MECHANICAL FLEXIBILITY||•CLEANLINESS REQUIREMENTS|
|•LOAD BEARING REQUIREMENTS||•LIFE CYCLE BENDING / FLEXING|
At TAI, our experts are here to help identify, design, and manufacture the ideal thermal solution for your program, based on all of these factors.
Material Thermal Conductivity
Metallic Thermal Straps
Copper rope/cabling straps are either soldered, brazed, welded, or made via a swage ("cold press") process. However, a cold press, heat-free assembly method is the most efficient and preserves the flexibility of the conductive materials used in a thermal strap. Soldering or welding copper straps can lead to 5-10x greater thermal contact resistance; significantly reducing thermal performance. Further, when heat is used to assemble straps, copper cables and foils will stiffen significantly, increasing the risk of vibration transmission and damage to sensitive equipment.
When considering flexibility, durability, and performance, a copper cabled strap is the preferred, and most frequently used, in all industries and applications. Further, TAI's exclusive OFHC UltraFlex™ I and II cabling (used on all standard and custom CuTS®), offers customers the optimal combination of flexibility and thermal performance. They are the most durable of all heat strap products available, and are the ideal choice for cryogenic applications. CuTS® offer flexibility on all axes, and can handle exponentially greater loads and life cycle flexing than any other strap or material type.
Mass: Copper has a higher density than other conductive strap materials, and in extremely mass-sensitive applications, a graphite strap may be your best option. It is important to note that while aluminum is less dense than copper, aluminum straps are not always an ideal alternative (when mass is a concern). Aluminum offers a fraction of the conductivity of copper, and stacked foil straps must be designed into longer (and thicker), S and U-shaped installation configurations, in order to provide flexibility on 2 of 3 axes, and match the thermal performance of a copper cabled thermal strap.
Copper rope straps—even those made by TAI—can be stiff if multiple rows are incorporated into the design AND the cable length is less than 1.0 inch. At these shorter lengths, cables continue to offer superior flexibility over stacked metallic foils, but the increased stiffness of the assembly is noticeable.
Cross-sectional area: a cable (or braid), by its very nature, is not as densely-packaged as a stack of metallic sheets. As a result, cabled straps may not meet your thermal conductance requirement in certain volume-restricted applications.
Volume-restricted applications (requiring high thermal performance), may benefit from a stacked metallic foil configuration. However, there are a number of trade offs to consider:
Stiffness: all metallic foil thermal straps are stiffer (and on each axis), than equivalent copper cabled configurations. As a result, foil straps are designed in "S" and "U" shapes, in order to provide flexibility on the compression and lateral axes. However, this increases the length of the strap, which negates the benefits of using foils to begin with. In fact, most engineers are able to substitute a much shorter copper rope or graphite fiber or sheet strap when considering a foil configuration. This results in reduced or equivalent mass, while offering equivalent—or improved—performance. Additionally, replacing a foil strap with a copper cabled configuration significantly reduces the price.
Many conventional assembly methods (brazing/soldering/welding), dramatically increase stiffness.
Foil straps typically cost 2-5x more than copper cabled thermal straps. Not only are the materials more expensive, but the assembly process is more complex and involves additional steps (thus, the higher price).
In many cases, foil straps are not the ideal solution. However, there are specific applications and environments in which they may offer benefits over a graphite or copper rope strap.
Graphite & Graphene Thermal Straps
There are multiple carbon-based strap solutions to consider in the industry. Though graphite thermal straps were initially used only for spaceflight applications operating between 230 - 400K, graphite offers unique benefits under nearly any operational or environmental conditions and are now being incorporated into terrestrial and spaceflight cryogenic applications. Straps are either made using graphite fiber-based materials, or pyrolytic graphite films (PGF) and layered graphene foils (sheets). Each option offers a combination of mechanical, thermal performance, and financial costs to consider (and graphite fiber, sheet, and graphene foil are not to be confused with rigid Annealed Pyrolytic Graphite material, which is often used for structural components).
Graphite Fiber Thermal Straps are made with GraFlex™, a bundled "toe" or rope of fibers with a material thermal conductivity of 810 W/(m-K). Fiber-based straps are more durable and lighter than carbon film/foil straps, and they offer lateral flexibility and deflection without needing to be installed in S or C/U-shaped configurations with a 180 degree arc. The most notable attributes of graphite fiber straps is their high conductance to low mass ratio, and their unparalleled ability to attenuate and absorb vibration. The average GFTS® assembly is lighter than an equivalent carbon sheet strap, and just 1/5 - 1/10 the mass of a comparable copper rope strap.
GFTS® products—while more robust than graphite and graphene sheet/foil straps—are delicate, and more fragile than metallic straps.
Fiber-based strap assemblies provide a fraction of the performance of their foil/film-based counterparts.
GFTS® assemblies, like metallic foil straps, need to be designed and assembled into their installed configuration/shape, and do not offer an extensive range of motion on all axes (like a copper cabled strap).
While they offer 3 axes of flexibility/deflection, GFTS® assemblies are best-suited to applications requiring less than 25mm of deflection on each axis, and are stiffer on the vertical and compression axes than a PGF-based strap.
Pyrolytic Graphite Film (PGF) and Graphene Layered Foil/Sheet straps offer the highest thermal performance of any of the strap products (above ~80K), ranging from 1,600 W/(m-K) - 1,840 W/(m-K) at a 300K operating temperature. Their compact profiles make them ideal for volume-restricted applications. Though PGF and graphene straps are more fragile than metallic and fiber-based straps, they offer a unique combination of flexibility, low mass, and thermal performance.
TAI's PyroFlex™ Graphite Film Thermal Straps offer the highest thermal performance of any carbon-based strap at cryogenic operating temperatures (with performance peaking at 150K). They are an effective replacement for aluminum foil straps down to operating temperatures as low as 65K (and provide equivalent performance—at a lower mass—to OFHC copper thermal straps between 70 and 80K). Our Graphene Thermal Links offer the highest thermal performance at operating temperatures from 200K - 350K, though graphene is not as flexible as pyrolytic graphite sheet.
All stacked pyrolytic graphite and graphene foils/sheets/films are fragile. These can be damaged if flexed on the lateral axis if improperly handled or used. Carbon-based sheet thermal straps must be installed in S-shapes, or curved 180° (or near 180°) arcs (C or U-shapes), in order to provide lateral deflection (that is coplanar to the sheet material).
Carbon-based straps are not ideal at operating temperatures below ~60K, unless the goal is to use them as a flexible thermal switch.
Graphite/Graphene Sheet/Foil straps are expensive. Graphite Fiber Strap products now sell for the same price as competing metallic foil straps, whereas carbon sheet-based products have somewhat higher material and assembly costs.
Measuring the Conductivity of Thermal Straps
Testing and Calculating Thermal Conductivity
Beyond heritage and qualification history, a critical factor when selecting a thermal strap supplier and product is understanding how the thermal conductivity of a strap is measured, and thus, if the manufacturing process results in consistent quality and performance. TAI has been at the forefront of thermal strap qualification and thermal conductivity testing for nearly 25 years, and our conductance test and projection processes are highly-accurate. The following excerpt is from our standard work instruction procedures, and provides valuable insight into the test and calculation processes.
Measurement Basic Practices and Definitions
The basic premise of measuring the thermal conductance of thermal straps is to apply a measurable amount of heater power (Qhtr) to one end of the thermal strap while securing the other end to a heat sink. The temperatures of the heat source and sink blocks are then measured just under the interfaces of the strap’s end fittings.
Given that external heat leak paths to and from the strap under test are minimized and predictable, the thermal conductance of the strap can be calculated as:
Cstrap = Qstrap/ΔTstrap
TAI uses a thermal interface material (TIM) (HITHERM™ HT-1205) in order to minimize the thermal resistance at the interface between the strap’s end fittings and the source and sink blocks. This is done because we cannot always control or replicate the exact attachment method and interface used in the specific application and because we are mainly interested in the thermal conductance of the strap itself.
As shown in Figure 1 (top right), and Figure 2 (left), the temperature sensors are embedded in the heat source and heat sink blocks. This puts the temperature measurements directly within the heat flow path. The effects of the blocks, temperature sensor locations, and the bolted interfaces can be determined and removed from the reported strap thermal conductance once the data is reduced.
This measurement technique is important because temperature probes attached to the exterior of the end fittings do not result in accurate measurements. Externally mounted temperature sensors result in measurements that are outside of the heat flow path.
To minimize heat leak paths (Qleak) that can compromise test results, TAI uses these design and configuration practices:
- The thermal conductance test fixture is placed in a vacuum chamber which is evacuated to less than 10 mTorr in total pressure. A vacuum environment minimizes heat transfer due to convection and is accounted for in our thermal models.
- Source block supports are long, thin, and are made from low-conductivity materials (typical set-up uses thin PTFE cord to suspend source blocks).
- Heater and thermocouple (TC) leads are long and thin. TC leads are made from low-conductivity material and are accounted for in thermal models.
A radiation shield is not normally used in typical test configurations. Without a shield, the heat leak due to radiation is a straightforward calculation. With a shield, radiation would be reduced, but the heat transfer becomes more difficult to predict. TAI has experienced that test results with a radiation shield are highly variable and unpredictable. Therefore, we do not use a radiation shield in our thermal test configuration.
In our standard test configuration, we limit total heat leak to less than 3% of the total heater power for GFTS® and CuTS®. The total heat leak is calculated and taken into account when thermal conductance of the strap is reduced from the test data.
For the strap thermal conductance calculation, the heat leak (Qleak) through the various paths (wires, radiation, and source block support) is determined and subtracted from the measured heater power. The result is the heat flow through the thermal strap from source block to the sink block (Qstrap). The measured temperatures from the temperature sensors embedded in the heat source and sink blocks are used to calculate a raw thermal conductance (Craw). Craw is the value of the direct temperature measurements:
Craw = (Qhtr – Qleak) / ΔT = [(Ihtr)(Vhtr) – Qrad – Qhtr leads – QTC leads] / (Th – Tc)
The physical properties of the test blocks (material conductivity, heat flow area, depth of the temperature sensors) are used to calculate the thermal resistance due to the fact that the temperature sensors are not in direct contact with the thermal strap itself. Removing these effects gives the source-surface-to-sink-surface thermal conduction: Csc-sk, which includes the thermal resistance of the bolted interface, using the thermal interface material.
The thermal resistances across the bolted interfaces can be determined empirically using test data and the contact areas of the thermal strap. When the interface resistances are removed from Csc-sk, the resulting value (shown as CS) is the thermal conductance of the thermal strap alone. See Figure 3 for a detailed view of the thermal conductance values reported by TAI.
Pictured: Figure 3 - thermal strap conductance projection definitions.
Csc-sk is typically reported as it is directly related to the measurements obtained from the test configuration. Cs is also reported because it is the value of most interest to the end user.
To learn more about our standard thermal conductivity test procedures, contact TAI today. Our experts have standard work instruction packages for all of our strap qualification and processing procedures (stiffness, conductance, bagging & packing, etc.).
Affordable, High Quality Thermal Strap Solutions
Why do we offer several strap options? Because no single product is ideal under all environmental and operational conditions. Each strap type offers a unique combination of thermal performance, flexibility, durability, vibration attenuation/damping, and mass, which customers must consider. Most importantly: while some materials may be ideal for your application, your budget may dictate which strap you ultimately choose.
To learn more about our product offerings, download a catalog today, call or email us, or complete a Thermal Strap Questionnaire to get your inquiry started. Remember: all front end (pre-purchase order) design work is always free of charge, and our engineers and strap experts are here to assist you at every step along the way!
TAI provides on-site testing and analysis services here at our Boulder, CO facility (though we partner with an internationally renowned test facility for shock and vibe testing). From stiffness to thermal conductance, thermal cycling, shock & vibe, tensile strength measurements, and more, we have you covered!
TAI offers complimentary thermal assessments, providing mass and performance projections, schedule and pricing ROM's, and (when possible/if viable), Preliminary Trade Analysis of alternative aluminum and copper straps.