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Thermodynamics of micro- and nano-scale flow and heat transfer: a mini-review

  • Yangyu Guo and Moran Wang EMAIL logo

Abstract

The modeling and understanding of micro- and nano-scale transport processes have raised increasing attention and extensive investigation during the past decades. In this mini-review, we aim to summarize our recent progress on the non-equilibrium thermodynamics of micro- and nano-scale flow and heat transfer. Special emphasis is put on the entropy generation at the interface, which plays a dominant role at small scale due to the strong non-equilibrium nature of particle-boundary interaction. We also prove the thermodynamic compatibility of both the macroscopic hydrodynamic equation and the non-equilibrium boundary conditions from the perspective of bulk and interfacial entropy generations respectively, as supported by the kinetic theory of microscopic particles. The present review will contribute to a clearer elaboration of thermodynamics at micro/nano-scale and its statistical mechanical demonstration, and thus will promote its further development in the future.


Corresponding author: Moran Wang, Department of Engineering Mechanics and CNMM, Tsinghua University, Beijing 100084, China, E-mail:

Funding source: NSF grant of China

Award Identifier / Grant number: (No. 12272207)

Funding source: National Key R&D Program of China

Award Identifier / Grant number: (No. 2019YFA0708704)

Acknowledgments

The authors also appreciate helpful discussions with Prof. D. Jou and Prof. S.Y. Chen. Y.G. would like to appreciate the financial support of the starting-up funding (AUGA2160500923) from Harbin Institute of Technology and the NSF Fund for Excellent Young Scientists Fund Program (Overseas).

  1. Research ethics: Not applicable.

  2. Author contributions: The authors have accepted responsibility for the entire content of this manuscript and approved its submission.

  3. Conflict of interest: The authors state no conflict of interest.

  4. Research funding: This work is financially supported by the starting-up funding from Harbin Institute of Technology, the NSF Fund for Excellent Young Scientists Fund Program (Overseas), the NSF grant of China (No. 12272207) and the National Key R&D Program of China (No. 2019YFA0708704).

  5. Data availability: Not applicable.

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Received: 2023-07-26
Accepted: 2024-01-08
Published Online: 2024-01-22
Published in Print: 2024-04-25

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