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On a dryout point for a stationary incompressible thermal fluid with phase transition in a pipe
| Title: | On a dryout point for a stationary incompressible thermal fluid with phase transition in a pipe |
| Authors: | Giga, Yoshikazu Browse this author →KAKEN DB | | Gu, Zhongyang Browse this author |
| Keywords: | One-dimensional Stefan problem | | Dryout point | | Interface temperature |
| Issue Date: | 2-Apr-2024 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 1157 |
| Start Page: | 1 |
| End Page: | 20 |
| Abstract: | A dryout point is recognized as the position where the phase transition from liquid to vapor occurs. In the one-dimensional case, by solving the stationary incompressible Navier-Stokes-Fourier equations with phase transition, we derive a necessary and sufficient condition for a dryout point to exist when the temperature at the liquid-vapor interface is given. In addition, we show by considering thermodynamics that the temperature at the dryout point and the density of the vapor phase can be determined by given density and sufficiently small injected mass flux of the liquid phase. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/91466 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
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Submitter: 数学紀要登録作業用
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