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Elastocaloric heat pump with specific cooling power of 20.9 W g–1 exploiting snap-through instability and strain-induced crystallization

Abstract

Conventional refrigeration relies on hazardous agents, contributing to global warming. Soft, cheap, biodegradable solid-state elastocaloric cooling based on natural rubber offers an environmentally friendly alternative. However, no such practical cooler has been developed, as conventional soft elastocaloric designs are not fast enough to ensure adiabaticity. Here, we combine snap-through instability with strain-induced crystallization and achieve a sub-100 ms quasi-adiabatic cycling, which is 30 times faster than previous designs. Negligible heat exchange in expansion/contraction stages combined with the latent heat of phase transitions results in a giant elastocaloric crystallization effect. The rubber-based all-soft heat pump enables a specific cooling power of 20.9 W g–1, a heat flux of 256 mW cm–2, a coefficient of performance of 4.7 and a single-stage temperature span between hot and cold reservoirs of 7.9 K (full adiabatic temperature change of rubber membrane exceeding 23 K). The pump permits a compact all-soft voltage-actuated set-up, opening up the opportunity of a viable plug-in-ready cooling device.

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Fig. 1: Illustration of the geCC effect in elastomers, heat pump design principle and performance comparison.
Fig. 2: Elastic and thermal properties of a NR membrane and resulting cooling performance of the heat pump.
Fig. 3: Adiabatic snap-back cooling.
Fig. 4: Actuated cooler design, characteristics and thermal properties.

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Data availability

The datasets generated and/or analysed during the current study are available within the paper and its Supplementary Information. Other materials are available from the corresponding author, M.K., upon reasonable request.

References

  1. The Future of Cooling (OECD/IEA, 2018).

  2. Goetzler, W., Zogg, R., Young, J. & Johnson, C. Alternatives to vapor-compression HVAC technology. ASHRAE J. 56, 12–23 (2014).

    Google Scholar 

  3. Wang, R. et al. Torsional refrigeration by twisted, coiled, and supercoiled fibers. Science 366, 216–221 (2019).

    Article  Google Scholar 

  4. Wang, Y. et al. A high-performance solid-state electrocaloric cooling system. Science 370, 129–133 (2020).

    Article  Google Scholar 

  5. Kasaeian, A. et al. Applications of eco-friendly refrigerants and nanorefrigerants: a review. Renew. Sustain. Energy Rev. 96, 91–99 (2018).

    Article  Google Scholar 

  6. Xie, Z. J., Sebald, G. & Guyomar, D. Comparison of elastocaloric effect of natural rubber with other caloric effects on different-scale cooling application cases. Appl. Therm. Eng. 111, 914–926 (2017).

    Article  Google Scholar 

  7. Mañosa, L. & Planes, A. Solid-state cooling by stress: a perspective. Appl. Phys. Lett. 116, 050501 (2020).

    Article  Google Scholar 

  8. Imran, M. & Zhang, X. Recent developments on the cyclic stability in elastocaloric materials. Mater. Des. 195, 109030 (2020).

    Article  Google Scholar 

  9. Greco, A., Aprea, C., Maiorino, A. & Masselli, C. A review of the state of the art of solid-state caloric cooling processes at room-temperature before 2019. Int. J. Refrig. 106, 66–88 (2019).

    Article  Google Scholar 

  10. Kitanovski, A., Plaznik, U., Tomc, U. & Poredoš, A. Present and future caloric refrigeration and heat-pump technologies. Int. J. Refrig. 57, 288–298 (2015).

    Article  Google Scholar 

  11. Goetzler, W., Zogg, R., Young, J. & Johnson, C. Energy Savings Potential and RD&D Opportunities for Non-vapor-Compression HVAC Technologies 199 (Navigant Consulting Inc., prepared for US Department of Energy, 2014).

  12. Ma, R. et al. Highly efficient electrocaloric cooling with electrostatic actuation. Science 357, 1130–1134 (2017).

    Article  Google Scholar 

  13. Li, B. et al. Colossal barocaloric effects in plastic crystals. Nature 567, 506–510 (2019).

    Article  Google Scholar 

  14. Carvalho, A. M. G., Imamura, W., Usuda, E. O. & Bom, N. M. Giant room-temperature barocaloric effects in PDMS rubber at low pressures. Eur. Polym. J. 99, 212–221 (2018).

    Article  Google Scholar 

  15. Tušek, J., Engelbrecht, K., Mikkelsen, L. P. & Pryds, N. Elastocaloric effect of Ni-Ti wire for application in a cooling device. J. Appl. Phys. 117, 124901 (2015).

    Article  Google Scholar 

  16. Pieczyska, E., Gadaj, S., Nowacki, W. & Tobushi, H. Phase-transformation fronts evolution for stress- and strain-controlled tension tests in TiNi shape memory alloy. Exp. Mech. 46, 531–542 (2006).

    Article  Google Scholar 

  17. Frenzel, J., Eggeler, G., Quandt, E., Seelecke, S. & Kohl, M. High-performance elastocaloric materials for the engineering of bulk- and micro-cooling devices. MRS Bull. 43, 280–284 (2018).

    Article  Google Scholar 

  18. Porenta, L. et al. Thin-walled Ni-Ti tubes under compression: ideal candidates for efficient and fatigue-resistant elastocaloric cooling. Appl. Mater. Today 20, 100712 (2020).

    Article  Google Scholar 

  19. Bruederlin, F. et al. Elastocaloric cooling on the miniature scale: a review on materials and device engineering. Energy Technol. 6, 1588–1604 (2018).

    Article  Google Scholar 

  20. Engelbrecht, K. Future prospects for elastocaloric devices. J. Phys. Energy 1, 021001 (2019).

    Article  Google Scholar 

  21. Cong, D. et al. Colossal elastocaloric effect in ferroelastic Ni-Mn-Ti Alloys. Phys. Rev. Lett. 122, 255703 (2019).

    Article  Google Scholar 

  22. Kirsch, S.-M. et al. NiTi-based elastocaloric cooling on the macroscale: from basic concepts to realization. Energy Technol. 6, 1567–1587 (2018).

    Article  Google Scholar 

  23. le Cam, J. B. Energy storage due to strain-induced crystallization in natural rubber: the physical origin of the mechanical hysteresis. Polymer 127, 166–173 (2017).

    Article  Google Scholar 

  24. Wiegand, W. & Snyder, J. The rubber pendulum, the Joule effect, and the dynamic stress-strain curve. Rubber Chem. Technol. 8, 151–173 (1935).

    Article  Google Scholar 

  25. Strong, C. L.The amateur scientist: some delightful engines driven by the heating of rubber bands. Sci. Am. 224, 118–122 (1971).

    Article  Google Scholar 

  26. Lyon, R. E., Wang, D., Farris, R. & MacKnight, W. Polyurethane–urea elastomers as working substances in rubber heat engines. J. Appl. Polym. Sci. 29, 2857–2872 (1984).

    Article  Google Scholar 

  27. Mullen, J., Look, G. W. & Konkel, J. Thermodynamics of a simple rubber‐band heat engine. Am. J. Phys. 43, 349–353 (1975).

    Article  Google Scholar 

  28. Farris, R. J. Rubber heat engines, analyses and theory. Polym. Eng. Sci. 17, 737–744 (1977).

    Article  Google Scholar 

  29. Hutchinson, W. D. Manually Operated Elastomer Heat Pump Report no. NPO-10677, 2 (NASA, 1970).

  30. Gerlach, D. W. in ASME 2009 International Mechanical Engineering Congress and Exposition 289–293 (American Society of Mechanical Engineers, 2009).

  31. Sebald, G., Komiya, A., Jay, J., Coativy, G. & Lebrun, L. Regenerative cooling using elastocaloric rubber: analytical model and experiments. J. Appl. Phys. https://doi.org/10.1063/1.5132361 (2020).

  32. Huneau, B. Strain-induced crystallization of natural rubber: a review of X-ray diffraction investigations. Rubber Chem. Technol. 84, 425–452 (2011).

    Article  Google Scholar 

  33. le Cam, J. B. Strain-induced crystallization in rubber: a new measurement technique. Strain 54, e12256 (2018).

    Article  Google Scholar 

  34. Keplinger, C., Li, T. F., Baumgartner, R., Suo, Z. G. & Bauer, S. Harnessing snap-through instability in soft dielectrics to achieve giant voltage-triggered deformation. Soft Matter 8, 285–288 (2012).

    Article  Google Scholar 

  35. Baumgartner, R. et al. A lesson from plants: high-speed soft robotic actuators. Adv. Sci. 7, 1903391 (2020).

    Article  Google Scholar 

  36. Jacobs, S. et al. The performance of a large-scale rotary magnetic refrigerator. Int. J. Refrig. 37, 84–91 (2014).

    Article  Google Scholar 

  37. Clot, P. et al. A magnet-based device for active magnetic regenerative refrigeration. IEEE Trans. Magn. 39, 3349–3351 (2003).

    Article  Google Scholar 

  38. Tura, A. & Rowe, A. Permanent magnet magnetic refrigerator design and experimental characterization. Int. J. Refrig. 34, 628–639 (2011).

    Article  Google Scholar 

  39. Defay, E. et al. Enhanced electrocaloric efficiency via energy recovery. Nat. Commun. 9, 1827 (2018).

    Article  Google Scholar 

  40. Bruederlin, F., Ossmer, H., Wendler, F., Miyazaki, S. & Kohl, M. SMA foil-based elastocaloric cooling: from material behavior to device engineering. J. Phys. D Appl. Phys. 50, 424003 (2017).

    Article  Google Scholar 

  41. Tušek, J. et al. A regenerative elastocaloric heat pump. Nat. Energy 1, 16134 (2016).

    Article  Google Scholar 

  42. Ossmer, H. et al. Energy-efficient miniature-scale heat pumping based on shape memory alloys. Smart Mater. Struct. 25, 085037 (2016).

    Article  Google Scholar 

  43. Merritt, D. R. & Weinhaus, F. The pressure curve for a rubber balloon. Am. J. Phys. 46, 976–977 (1978).

    Article  Google Scholar 

  44. Gent, A. N. A new constitutive relation for rubber. Rubber Chem. Technol. 69, 59–61 (1996).

    Article  Google Scholar 

  45. Khiêm, V. N. & Itskov, M. Analytical network-averaging of the tube model: strain-induced crystallization in natural rubber. J. Mech. Phys. Solids 116, 350–369 (2018).

    Article  MathSciNet  Google Scholar 

  46. Gros, A., Verron, E. & Huneau, B. A physically-based model for strain-induced crystallization in natural rubber. Part II: derivation of the mechanical model. J. Mech. Phys. Solids 125, 255–275 (2019).

    Article  MathSciNet  Google Scholar 

  47. Plagge, J. & Kluppel, M. A theory relating crystal size, mechanical response, and degree of crystallization in strained natural rubber. Macromolecules 51, 3711–3721 (2018).

    Article  Google Scholar 

  48. Moran, M. J., Shapiro, H. N., Boettner, D. D. & Bailey, M. B. Fundamentals of Engineering Thermodynamics 9th edn (Wiley, 2018).

  49. Suo, Z. G. Theory of dielectric elastomers. Acta Mech. Solid. Sin. 23, 549–578 (2010).

    Article  Google Scholar 

  50. Williams, D. & Dale, B. Further studies of the infrared absorption of rubber. Rubber Chem. Technol. 18, 10–19 (1945).

    Article  Google Scholar 

Download references

Acknowledgements

We dedicate this work to S. Bauer. This work was supported by the ERC Starting Grant ‘GEL‐SYS’ under grant agreement no. 757931 and start-up funding of the Linz Institute of Technology ‘Soft Electronics Laboratory’ under grant no. LIT013144001SEL.

Author information

Authors and Affiliations

Authors

Contributions

F.G. and R.S. designed and fabricated the geCC heat pump and the DEA-triggered cooler and performed all experiments and measurements associated with these devices. R.B., A.K. and R.S. performed the infrared measurements. F.G., M.D. and G.M. performed the tensile tests. G.M. conducted the simulation; N.A. developed the theoretical framework.; and F.G., R.S. and N.A. analysed data. F.G., D.W., M.D. and G.M. prepared figures, and D.W., F.G. and G.M. prepared videos with contributions from all authors. F.G., N.A., R.S. and M.K. wrote the manuscript with comments from all authors. G.M., D.W., R.S. and J.S. contributed to editing the manuscript. S.B., R.S., N.A. and M.K. supervised the project.

Corresponding author

Correspondence to M. Kaltenbrunner.

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The authors declare no competing interests.

Additional information

Peer review information Nature Energy thanks Manfred Kohl and the other, anonymous, reviewer(s) for their contribution to the peer review of this work.

Publisher’s note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Supplementary information

Supplementary Information

Supplementary Notes 1–9, Figs. 1–10, Table 1 and references.

Supplementary Video 1

Infrared camera side view of the inflation and deflation of a NR balloon. The balloon heats above the background temperature during the inflation snap-through and cools below this temperature during the deflation snap-back. This video illustrates the principle of geCC-based cooling with a NR membrane. The temperature changes are smaller than in the much faster cycling experiments with the LTR and HTR, which are absent here.

Supplementary Video 2

Side view of the cyclic snap-through inflation and snap-back deflation of a NR balloon. The fully deflated balloon membrane rests on the LTR with a prestretch of λ~1.4 and inflates rapidly up to the contact with the HTR, where the balloon remains for a fraction of a second with a minor excess overpressure, providing good thermal contact and temperature equilibration before the snap-back.

Supplementary Video 3

Infrared camera top view of the inflation and deflation of the NR balloon, similar to (but different from) Supplementary Video 1. Inflation temperature changes are underestimated, due to the semitransparency of the thin inflated balloon and relatively slow inflation rate. Deflation snap-back takes less than 100 ms (Fig. 2b) and is almost adiabatic. Snap-back temperature changes were used in calculations, as explained in the Supporting Information. Due to the contribution from the SIC, these temperature changes are about two times larger than expected from pure elastocaloric consideration, resulting in a geCC effect. One can see the inhomogeneity of the temperature distribution and gradual thermal equilibration with the background, which is much slower than in cycling experiments due to the absence of the LTR and HTR.

Supplementary Video 4

NR balloon actuated by voltage-controlled DEAs (Supplementary Fig. 9). This design avoids complex pneumatic parts and allows for a low-noise and extremely fast cycling operation (up to 3 Hz). Prior to actuation, both the DEA and the NR balloon are inflated with a constant offset pressure. For continuous operation, a high-voltage sine-wave signal is applied to the DEA electrodes. The high number of DEAs is needed to achieve the necessary volume change of the NR balloon.

Supplementary Data

Electrical input power of the elastomer actuator for all individual runs of Supplementary Fig.10, used to calculate mean power consumption and standard deviation.

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Greibich, F., Schwödiauer, R., Mao, G. et al. Elastocaloric heat pump with specific cooling power of 20.9 W g–1 exploiting snap-through instability and strain-induced crystallization. Nat Energy 6, 260–267 (2021). https://doi.org/10.1038/s41560-020-00770-w

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