Abstract
Phase change materials show promise to address challenges in thermal energy storage and thermal management. Yet, their energy density and power density decrease as the transient melt front moves away from the heat source. Here, we propose an approach that achieves the spatial control of the melt-front location of pure phase change materials using pressure-enhanced close contact melting. Using paraffin wax, we demonstrate effective energy density and power density of 230 J cm−3 and 0.8 W cm−3, respectively. Using gallium, we achieve effective energy density of 480 J cm−3 and power density of 1.6 W cm−3. Through experimentally validated physics-based analytical and finite element models, we show that our system enables the stabilization of surface temperatures at heat fluxes approaching 3 kW cm−2. This approach uses pure and cost-effective materials, overcoming complexities and cost of composite phase change materials. We report design guidelines for integrating our approach in thermal management and thermal energy storage applications.
This is a preview of subscription content, access via your institution
Access options
Access Nature and 54 other Nature Portfolio journals
Get Nature+, our best-value online-access subscription
$29.99 / 30 days
cancel any time
Subscribe to this journal
Receive 12 digital issues and online access to articles
$119.00 per year
only $9.92 per issue
Buy this article
- Purchase on SpringerLink
- Instant access to full article PDF
Prices may be subject to local taxes which are calculated during checkout
Similar content being viewed by others
Data availability
All data generated or analysed during this study are included in the published article and its Supplementary Information.
Code availability
All Python, COMSOL and ANSYS files generated for this work have been uploaded to a public repository at https://zenodo.org/record/5861060#.YeUVCv7MKUl.
References
Moore, A. L. & Shi, L. Emerging challenges and materials for thermal management of electronics. Mater. Today 17, 163–174 (2014).
van Erp, R., Soleimanzadeh, R., Nela, L., Kampitsis, G. & Matioli, E. Co-designing electronics with microfluidics for more sustainable cooling. Nature 585, 211–216 (2020).
Wang, Q., Jiang, B., Li, B. & Yan, Y. A critical review of thermal management models and solutions of lithium-ion batteries for the development of pure electric vehicles. Renew. Sustain. Energy Rev. 64, 106–128 (2016).
Hao, M., Li, J., Park, S., Moura, S. & Dames, C. Efficient thermal management of Li-ion batteries with a passive interfacial thermal regulator based on a shape memory alloy. Nat. Energy 3, 899–906 (2018).
Fleischer, A. S. Cooling our insatiable demand for data. Science 370, 783–784 (2020).
Wang, C. et al. A thermal management strategy for electronic devices based on moisture sorption-desorption processes. Joule 4, 435–447 (2020).
Ling, Z. et al. Review on thermal management systems using phase change materials for electronic components, Li-ion batteries and photovoltaic modules. Renew. Sustain. Energy Rev. 31, 427–438 (2014).
Chen, J. et al. Effects of different phase change material thermal management strategies on the cooling performance of the power lithium ion batteries: a review. J. Power Sources 442, 227228 (2019).
Fan, L. & Khodadadi, J. M. Thermal conductivity enhancement of phase change materials for thermal energy storage: a review. Renew. Sustain. Energy Rev. 15, 24–46 (2011).
Qureshi, Z. A., Ali, H. M. & Khushnood, S. Recent advances on thermal conductivity enhancement of phase change materials for energy storage system: a review. Int. J. Heat. Mass Transf. 127, 838–856 (2018).
Yang, T., King, W. P. & Miljkovic, N. Phase change material-based thermal energy storage. Cell Rep. Phys. Sci. 2, 100540 (2021).
Mohamed, S. A. et al. A review on current status and challenges of inorganic phase change materials for thermal energy storage systems. Renew. Sustain. Energy Rev. 70, 1072–1089 (2017).
Liu, M., Saman, W. & Bruno, F. Review on storage materials and thermal performance enhancement techniques for high temperature phase change thermal storage systems. Renew. Sustain. Energy Rev. 16, 2118–2132 (2012).
Yang, X.-H., Tan, S.-C., He, Z.-Z. & Liu, J. Finned heat pipe assisted low melting point metal PCM heat sink against extremely high power thermal shock. Energy Convers. Manag. 160, 467–476 (2018).
Mahmoud, S., Tang, A., Toh, C., Al-Dadah, R. & Soo, S. L. Experimental investigation of inserts configurations and PCM type on the thermal performance of PCM based heat sinks. Appl. Energy 112, 1349–1356 (2013).
Wang, C., Lin, T., Li, N. & Zheng, H. Heat transfer enhancement of phase change composite material: copper foam/paraffin. Renew. Energy 96, 960–965 (2016).
Yang, T. et al. A composite phase change material thermal buffer based on porous metal foam and low-melting-temperature metal alloy. Appl. Phys. Lett. 116, 071901 (2020).
Mills, A., Farid, M., Selman, J. R. & Al-Hallaj, S. Thermal conductivity enhancement of phase change materials using a graphite matrix. Appl. Therm. Eng. 26, 1652–1661 (2006).
Ji, H. et al. Enhanced thermal conductivity of phase change materials with ultrathin-graphite foams for thermal energy storage. Energy Environ. Sci. 7, 1185–1192 (2014).
Shamberger, P. J. & Bruno, N. M. Review of metallic phase change materials for high heat flux transient thermal management applications. Appl. Energy https://doi.org/10.1016/j.apenergy.2019.113955 (2020).
Tao, Y. B., Lin, C. H. & He, Y. L. Preparation and thermal properties characterization of carbonate salt/carbon nanomaterial composite phase change material. Energy Convers. Manag. 97, 103–110 (2015).
Li, T., Lee, J.-H., Wang, R. & Kang, Y. T. Enhancement of heat transfer for thermal energy storage application using stearic acid nanocomposite with multi-walled carbon nanotubes. Energy 55, 752–761 (2013).
Li, M. A nano-graphite/paraffin phase change material with high thermal conductivity. Appl. Energy 106, 25–30 (2013).
Bejan, A. in Advances in Heat Transfer Vol. 24, 1–38 (Elsevier, 1994).
Rozenfeld, T., Kozak, Y., Hayat, R. & Ziskind, G. Close-contact melting in a horizontal cylindrical enclosure with longitudinal plate fins: demonstration, modeling and application to thermal storage. Int. J. Heat. Mass Transf. 86, 465–477 (2015).
Saito, A., Utaka, Y., Shinoda, K. & Katayama, K. Basic research on the latent heat thermal energy storage utilizing the contact melting phenomena. Bull. JSME 29, 2946–2952 (1986).
Saito, A., Hong, H. & Hirokane, O. Heat transfer enhancement in the direct contact melting process. Int. J. Heat. Mass Transf. 35, 295–305 (1992).
Moallemi, M. K., Webb, B. W. & Viskanta, R. An experimental and analytical study of close-contact melting. J. Heat Transf. https://doi.org/10.1115/1.3247030 (1986).
Woods, J. et al. Rate capability and Ragone plots for phase change thermal energy storage. Nat. Energy 6, 295–302 (2021).
Hirata, T., Makino, Y. & Kaneko, Y. Analysis of close-contact melting for octadecane and ice inside isothermally heated horizontal rectangular capsule. Int. J. Heat. Mass Transf. 34, 3097–3106 (1991).
Hu, N., Zhang, R.-H., Zhang, S.-T., Liu, J. & Fan, L.-W. A laser interferometric measurement on the melt film thickness during close-contact melting on an isothermally-heated horizontal plate. Int. J. Heat. Mass Transf. 138, 713–718 (2019).
Moore, F. E. & Bayazitoglu, Y. Melting within a spherical enclosure. J. Heat Transf. https://doi.org/10.1115/1.3245053 (1982).
Fomin, S. A. & Saitoh, T. S. Melting of unfixed material in spherical capsule with non-isothermal wall. Int. J. Heat. Mass Transf. 42, 4197–4205 (1999).
Mansouri, L., Balistrou, M. & Baudoin, B. One-dimensional time-dependent modeling of conductive heat transfer during the melting of an initially subcooled semi-infinite PCM. In 23ème Congrès Français de Mécanique (CFM, 2017).
Boucíguez, A. C., Lozano, R. F. & Lara, M. A. About the exact solution in two phase-stefan problem. Rev. Eng. Térmica 6, 70–75 (2007).
Shamberger, P. J. Cooling capacity figure of merit for phase change materials. J. Heat Transf. https://doi.org/10.1115/1.4031252 (2016).
Schlichting, H. & Gersten, K. Boundary-Layer Theory (Springer, 2016).
Churchill, S. W. & Bernstein, M. A correlating equation for forced convection from gases and liquids to a circular cylinder in crossflow. J. Heat Transf. https://doi.org/10.1115/1.3450685 (1977).
Oró, E., De Gracia, A., Castell, A., Farid, M. M. & Cabeza, L. F. Review on phase change materials (PCMs) for cold thermal energy storage applications. Appl. Energy 99, 513–533 (2012).
Ji, H. et al. Ultrahigh power and energy density in partially ordered lithium-ion cathode materials. Nat. Energy 5, 213–221 (2020).
López-Navarro, A. et al. Experimental investigation of the temperatures and performance of a commercial ice-storage tank. Int. J. Refrig. 36, 1310–1318 (2013).
Seddegh, S., Wang, X., Henderson, A. D. & Xing, Z. Solar domestic hot water systems using latent heat energy storage medium: a review. Renew. Sustain. Energy Rev. 49, 517–533 (2015).
Suberu, M. Y., Mustafa, M. W. & Bashir, N. Energy storage systems for renewable energy power sector integration and mitigation of intermittency. Renew. Sustain. Energy Rev. 35, 499–514 (2014).
Ali, H. M. et al. Thermal management of electronics: an experimental analysis of triangular, rectangular and circular pin-fin heat sinks for various PCMs. Int. J. Heat. Mass Transf. 123, 272–284 (2018).
Farzanehnia, A., Khatibi, M., Sardarabadi, M. & Passandideh-Fard, M. Experimental investigation of multiwall carbon nanotube/paraffin based heat sink for electronic device thermal management. Energy Convers. Manag. 179, 314–325 (2019).
Zhao, L., Xing, Y., Wang, Z. & Liu, X. The passive thermal management system for electronic device using low-melting-point alloy as phase change material. Appl. Therm. Eng. 125, 317–327 (2017).
Mann, A., Germann, T., Ruiter, M. & Groche, P. The challenge of upscaling paraffin wax actuators. Mater. Des. 190, 108580 (2020).
Mann, A., Bürgel, C. M. & Groche, P. A. in Actuators Vol. 7, 81 (Multidisciplinary Digital Publishing Institute, 2018).
Stovall, T. K. CALMAC Ice Storage Test Report (Oak Ridge National Laboratory, 1991).
Acknowledgements
We gratefully acknowledge fruitful discussions with R. Crawford as well as A. Mahvi and J. Woods at the National Renewable Energy Laboratory. We gratefully acknowledge the help from N. Liu of Naperville North High School for helping with the PCM charging experiments. We gratefully acknowledge funding support from the Air Conditioning and Refrigeration Center. X.Y. and N.M. gratefully acknowledge funding support from the National Science Foundation under award no. 1554249. Y.G., W.P.K. and N.M. gratefully acknowledge funding support from the National Science Foundation Engineering Research Center for Power Optimization of Electro-Thermal Systems with cooperative agreements EEC-1449548. N.M. gratefully acknowledges funding support from the International Institute for Carbon Neutral Energy Research (WPI-I2CNER), sponsored by the Japanese Ministry of Education, Culture, Sports, Science and Technology.
Author information
Authors and Affiliations
Contributions
N.M. conceived the idea for this work. W.F., Y.G. and X.Y. fabricated all samples. W.F., Y.G. and X.Y developed the experimental test set-up. W.F. and X.Y performed the experiments. Y.G., W.F. and V.S.G. performed the numerical and analytical simulations. W.F., N.M. and W.P.K performed the experimental and numerical data analysis. W.F., N.M. and W.P.K. wrote the paper. N.M. supervised the project.
Corresponding author
Ethics declarations
Competing interests
The authors declare no competing interests.
Peer review
Peer review information
Nature Energy thanks Philip Eames, Kyle Gluesenkamp and the other, anonymous, reviewer(s) for their contribution to the peer review of this work.
Additional information
Publisher’s note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Supplementary information
Supplementary Information
Supplementary Notes 1–11, Figs. 1–19, Tables 1–9 and References.
Rights and permissions
About this article
Cite this article
Fu, W., Yan, X., Gurumukhi, Y. et al. High power and energy density dynamic phase change materials using pressure-enhanced close contact melting. Nat Energy 7, 270–280 (2022). https://doi.org/10.1038/s41560-022-00986-y
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1038/s41560-022-00986-y
This article is cited by
-
Self-recovering passive cooling utilizing endothermic reaction of NH4NO3/H2O driven by water sorption for photovoltaic cell
Nature Communications (2023)
-
Adaptive multi-temperature control for transport and storage containers enabled by phase-change materials
Nature Communications (2023)