On the molecular picture and interfacial temperature discontinuity during evaporation and condensation
Although it has been shown experimentally that a temperature discontinuity exists at the liquid-vapor interface during evaporation and condensation, quantitatively modeling this temperature jump has been difficult. The classical Schrage equation does not give enough information to determine the i...
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| Other Authors: | |
| Format: | Article |
| Language: | English |
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Elsevier BV
2023
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| Online Access: | https://hdl.handle.net/1721.1/150831 |
| _version_ | 1824458257600610304 |
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| author | Chen, Gang |
| author2 | Massachusetts Institute of Technology. Department of Mechanical Engineering |
| author_facet | Massachusetts Institute of Technology. Department of Mechanical Engineering Chen, Gang |
| author_sort | Chen, Gang |
| collection | MIT |
| description | Although it has been shown experimentally that a temperature discontinuity
exists at the liquid-vapor interface during evaporation and condensation,
quantitatively modeling this temperature jump has been difficult. The classical
Schrage equation does not give enough information to determine the interfacial
temperature jump. Starting from the Boltzmann transport equation, this paper
establishes three interfacial boundary conditions to connect the temperature,
density, and pressure jumps at the liquid-vapor interface to the interfacial
mass and heat fluxes: one for the mass flux (the Schrage equation), one for the
heat flux, and the third for the density discontinuities. These expressions can
be readily coupled to heat and mass transport equations in the continuum of the
liquid and the vapor phases, enabling one to determine the values of the
interfacial temperature, density, and pressure jumps. Comparison with past
experiments is favorable. A thermomolecular emission model, mimicking
thermionic emission of electrons, is also presented to gain more
molecular-level insights on the thermal evaporation processes. |
| first_indexed | 2024-09-23T14:01:18Z |
| format | Article |
| id | mit-1721.1/150831 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2025-02-19T04:23:01Z |
| publishDate | 2023 |
| publisher | Elsevier BV |
| record_format | dspace |
| spelling | mit-1721.1/1508312025-01-03T04:49:54Z On the molecular picture and interfacial temperature discontinuity during evaporation and condensation Chen, Gang Massachusetts Institute of Technology. Department of Mechanical Engineering Although it has been shown experimentally that a temperature discontinuity exists at the liquid-vapor interface during evaporation and condensation, quantitatively modeling this temperature jump has been difficult. The classical Schrage equation does not give enough information to determine the interfacial temperature jump. Starting from the Boltzmann transport equation, this paper establishes three interfacial boundary conditions to connect the temperature, density, and pressure jumps at the liquid-vapor interface to the interfacial mass and heat fluxes: one for the mass flux (the Schrage equation), one for the heat flux, and the third for the density discontinuities. These expressions can be readily coupled to heat and mass transport equations in the continuum of the liquid and the vapor phases, enabling one to determine the values of the interfacial temperature, density, and pressure jumps. Comparison with past experiments is favorable. A thermomolecular emission model, mimicking thermionic emission of electrons, is also presented to gain more molecular-level insights on the thermal evaporation processes. 2023-05-31T15:17:32Z 2023-05-31T15:17:32Z 2022 2023-05-31T15:10:39Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/150831 Chen, Gang. 2022. "On the molecular picture and interfacial temperature discontinuity during evaporation and condensation." International Journal of Heat and Mass Transfer, 191. en 10.1016/J.IJHEATMASSTRANSFER.2022.122845 International Journal of Heat and Mass Transfer Creative Commons Attribution-Noncommercial-NoDerivatives https://creativecommons.org/licenses/by-nc-nd/4.0/ application/pdf Elsevier BV arXiv |
| spellingShingle | Chen, Gang On the molecular picture and interfacial temperature discontinuity during evaporation and condensation |
| title | On the molecular picture and interfacial temperature discontinuity during evaporation and condensation |
| title_full | On the molecular picture and interfacial temperature discontinuity during evaporation and condensation |
| title_fullStr | On the molecular picture and interfacial temperature discontinuity during evaporation and condensation |
| title_full_unstemmed | On the molecular picture and interfacial temperature discontinuity during evaporation and condensation |
| title_short | On the molecular picture and interfacial temperature discontinuity during evaporation and condensation |
| title_sort | on the molecular picture and interfacial temperature discontinuity during evaporation and condensation |
| url | https://hdl.handle.net/1721.1/150831 |
| work_keys_str_mv | AT chengang onthemolecularpictureandinterfacialtemperaturediscontinuityduringevaporationandcondensation |