On the long-time transient formation of sink zones in near-critical fluids. A theoretical perspective
Near-critical fluids subject to simultaneous thermal quench and an imposed external acceleration field are reported to develop ‘sink zones’, where the temperature in the bulk falls below the imposed boundary value. This anomalous cooling effect persists for a long period of time corresponding to the...
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| Veröffentlicht in: | Journal of fluid mechanics 2021-03, Vol.915, Article A117 |
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| creator | Kulkarni, Yash Khayat, Roger Amiroudine, Sakir |
| description | Near-critical fluids subject to simultaneous thermal quench and an imposed external acceleration field are reported to develop ‘sink zones’, where the temperature in the bulk falls below the imposed boundary value. This anomalous cooling effect persists for a long period of time corresponding to the diffusive elimination of the cold boundary layer. The sink-zone phenomenon has been captured previously in numerical simulations (Zappoli et al., J. Fluid Mech, vol. 316, 1996, pp. 53–72; Sharma et al., Phys. Rev E, vol. 96, 2017, 063102; Sharma et al., Phys. Fluids, vol. 29, 2017, 126103) and was observed experimentally (Beysens et al., Phys. Rev. E, vol. 84, 2011, 051201). The present work provides a detailed and thorough theoretical analysis and interpretation based on matched asymptotic expansions. By examining the one-dimensional transient flow and temperature with a mean-field approach, we provide further insight into this striking phenomenon, showing that the behaviour involved is unique to highly compressible near-critical van der Waals gases. We also show that the sub-cooling phenomenon cannot be predicted in perfect gases unless very extreme conditions are applied. |
| doi_str_mv | 10.1017/jfm.2021.134 |
| format | Article |
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A theoretical perspective</title><source>Cambridge University Press Journals Complete</source><creator>Kulkarni, Yash ; Khayat, Roger ; Amiroudine, Sakir</creator><creatorcontrib>Kulkarni, Yash ; Khayat, Roger ; Amiroudine, Sakir</creatorcontrib><description>Near-critical fluids subject to simultaneous thermal quench and an imposed external acceleration field are reported to develop ‘sink zones’, where the temperature in the bulk falls below the imposed boundary value. This anomalous cooling effect persists for a long period of time corresponding to the diffusive elimination of the cold boundary layer. The sink-zone phenomenon has been captured previously in numerical simulations (Zappoli et al., J. Fluid Mech, vol. 316, 1996, pp. 53–72; Sharma et al., Phys. Rev E, vol. 96, 2017, 063102; Sharma et al., Phys. Fluids, vol. 29, 2017, 126103) and was observed experimentally (Beysens et al., Phys. Rev. E, vol. 84, 2011, 051201). The present work provides a detailed and thorough theoretical analysis and interpretation based on matched asymptotic expansions. By examining the one-dimensional transient flow and temperature with a mean-field approach, we provide further insight into this striking phenomenon, showing that the behaviour involved is unique to highly compressible near-critical van der Waals gases. We also show that the sub-cooling phenomenon cannot be predicted in perfect gases unless very extreme conditions are applied.</description><identifier>ISSN: 0022-1120</identifier><identifier>EISSN: 1469-7645</identifier><identifier>DOI: 10.1017/jfm.2021.134</identifier><language>eng</language><publisher>Cambridge, UK: Cambridge University Press</publisher><subject>Asymptotic series ; Boundary layers ; Compressibility ; Computational fluid dynamics ; Cooling ; Cooling effects ; Experiments ; Fluids ; Gases ; Gravity ; Heat ; Ideal gas ; JFM Papers ; Temperature ; Theoretical analysis ; Unsteady flow ; Vibration</subject><ispartof>Journal of fluid mechanics, 2021-03, Vol.915, Article A117</ispartof><rights>The Author(s), 2021. 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By examining the one-dimensional transient flow and temperature with a mean-field approach, we provide further insight into this striking phenomenon, showing that the behaviour involved is unique to highly compressible near-critical van der Waals gases. 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| subjects | Asymptotic series Boundary layers Compressibility Computational fluid dynamics Cooling Cooling effects Experiments Fluids Gases Gravity Heat Ideal gas JFM Papers Temperature Theoretical analysis Unsteady flow Vibration |
| title | On the long-time transient formation of sink zones in near-critical fluids. A theoretical perspective |
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