A simple model of salt crystal formation in an evaporating liquid film
| Parent link: | International Journal of Heat and Mass Transfer.— .— Amsterdam: Elsevier Science Publishing Company Inc. Vol. 256.— 2026.— Article number 128056, 10 p. |
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| Other Authors: | , , , , , |
| Summary: | Title screen A model of salt crystal formation in a heated film of salted water is suggested, validated (using in-house experimental data) and verified. The model is based on the previously developed model of multi-component liquid film heating and evaporation, using the analytical solutions to the component diffusion and heat transfer equations and the Kolmogorov theory of salt crystal formation. The best agreement between the predicted and observed time evolution of salted water masses is achieved for a gas convection mass transfer coefficient () equal to 0.026 m/s, although the model predictions remained within the experimental error bars for a wide range of . The new model is shown to predict the observed masses of salt crystals at the initial stage of crystal formation well. At longer times, however, the model tends to over-predict this mass. This is linked to one of the main limitations of the model, which does not consider the interactions between salt crystals. The latter process can be safely ignored when the mass fraction of crystals is small (the initial stage of the process), but not when it exceeds 40% of the initial mass fraction of salt in the solution (times longer than about 1000 s for the values of parameters used in our experiments). The model predictions are verified on the basis of their comparison with the predictions of COMSOL Multiphysics, in which the heat transfer and component diffusion equations are solved numerically. In the initial stage of the crystallisation process, salt crystals are shown to form near the surface of the film, where the mass fraction of salt in the solution exceeds 30%, but not near the bottom of the film, where the mass fraction of salt in the solution remains less than 30% Текстовый файл AM_Agreement |
| Language: | English |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://doi.org/10.1016/j.ijheatmasstransfer.2025.128056 |
| Format: | Electronic Book Chapter |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=684566 |
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| 200 | 1 | |a A simple model of salt crystal formation in an evaporating liquid film |f S. Ya. Misyura, D. V. Antonov, A. V. Mikulich [et al.] | |
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| 330 | |a A model of salt crystal formation in a heated film of salted water is suggested, validated (using in-house experimental data) and verified. The model is based on the previously developed model of multi-component liquid film heating and evaporation, using the analytical solutions to the component diffusion and heat transfer equations and the Kolmogorov theory of salt crystal formation. The best agreement between the predicted and observed time evolution of salted water masses is achieved for a gas convection mass transfer coefficient () equal to 0.026 m/s, although the model predictions remained within the experimental error bars for a wide range of . The new model is shown to predict the observed masses of salt crystals at the initial stage of crystal formation well. At longer times, however, the model tends to over-predict this mass. This is linked to one of the main limitations of the model, which does not consider the interactions between salt crystals. The latter process can be safely ignored when the mass fraction of crystals is small (the initial stage of the process), but not when it exceeds 40% of the initial mass fraction of salt in the solution (times longer than about 1000 s for the values of parameters used in our experiments). The model predictions are verified on the basis of their comparison with the predictions of COMSOL Multiphysics, in which the heat transfer and component diffusion equations are solved numerically. In the initial stage of the crystallisation process, salt crystals are shown to form near the surface of the film, where the mass fraction of salt in the solution exceeds 30%, but not near the bottom of the film, where the mass fraction of salt in the solution remains less than 30% | ||
| 336 | |a Текстовый файл | ||
| 371 | 0 | |a AM_Agreement | |
| 461 | 1 | |t International Journal of Heat and Mass Transfer |c Amsterdam |n Elsevier Science Publishing Company Inc. | |
| 463 | 1 | |t Vol. 256 |v Article number 128056, 10 p. |d 2026 | |
| 610 | 1 | |a электронный ресурс | |
| 610 | 1 | |a труды учёных ТПУ | |
| 610 | 1 | |a Salted water | |
| 610 | 1 | |a Salt crystals | |
| 610 | 1 | |a Evaporation | |
| 610 | 1 | |a Drying | |
| 610 | 1 | |a Mathematical modelling | |
| 701 | 1 | |a Misyura |b S. Ya. |c specialist in the field of power engineering |c leading researcher of Tomsk Polytechnic University, candidate of technical sciences |f 1964- |g Sergey Yakovlevich |9 21039 | |
| 701 | 1 | |a Antonov |b D. V. |c specialist in the field of heat and power engineering |c Associate Professor, Research Engineer at Tomsk Polytechnic University, Candidate of Physical and Mathematical Sciences |f 1996- |g Dmitry Vladimirovich |9 22322 | |
| 701 | 1 | |a Mikulich |b A. V. |g Anastasiya Vyacheslavovna | |
| 701 | 1 | |a Strizhak |b P. A. |c Specialist in the field of heat power energy |c Doctor of Physical and Mathematical Sciences (DSc), Professor of Tomsk Polytechnic University (TPU) |f 1985- |g Pavel Alexandrovich |9 15117 | |
| 701 | 1 | |a Morozov |b V. S. |g Vladimir Sergeevich | |
| 701 | 1 | |a Sazhin |b S. S. |c geophysicist |c Leading researcher at Tomsk Polytechnic University, PhD in Physics and Mathematics |f 1949- |g Sergey Stepanovich |9 88718 | |
| 801 | 0 | |a RU |b 63413507 |c 20260129 | |
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