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  Morphology evolution of a melting solid layer above its melt heated from below

Yang, R., Howland, C., Liu, H.-R., Verzicco, R., & Lohse, D. (2023). Morphology evolution of a melting solid layer above its melt heated from below. Journal of Fluid Mechanics, 956:. doi:10.1017/jfm.2023.15.

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アイテムのパーマリンク: https://hdl.handle.net/21.11116/0000-000C-AB78-D 版のパーマリンク: https://hdl.handle.net/21.11116/0000-000C-AB79-C
資料種別: 学術論文

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morphology-evolution-of-a-melting-solid-layer-above-its-melt-heated-from-below.pdf (出版社版), 3MB
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https://hdl.handle.net/21.11116/0000-000C-AB7A-B
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morphology-evolution-of-a-melting-solid-layer-above-its-melt-heated-from-below.pdf
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 作成者:
Yang, R., 著者
Howland, C.J., 著者
Liu, H.-R., 著者
Verzicco, R., 著者
Lohse, Detlef1, 著者           
所属:
1Max Planck Institute for Dynamics and Self-Organization, Max Planck Society, ou_2063285              

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 要旨: We numerically study the melting process of a solid layer heated from below such that a liquid melt layer develops underneath. The objective is to quantitatively describe and understand the emerging topography of the structures (characterized by the amplitude and wavelength), which evolve out of an initially smooth surface. By performing both two-dimensional (achieving Rayleigh number up to Ra=1011) and three-dimensional (achieving Rayleigh number up to Ra=109) direct numerical simulations with an advanced finite difference solver coupled to the phase-field method, we show how the interface roughness is spontaneously generated by thermal convection. With increasing height of the melt the convective flow intensifies and eventually even becomes turbulent. As a consequence, the interface becomes rougher but is still coupled to the flow topology. The emerging structure of the interface coincides with the regions of rising hot plumes and descending cold plumes. We find that the roughness amplitude scales with the mean height of the liquid layer. We derive this scaling relation from the Stefan boundary condition and relate it to the non-uniform distribution of heat flux at the interface. For two-dimensional cases, we further quantify the horizontal length scale of the morphology, based on the theoretical upper and lower bounds given for the size of convective cells known from Wang et al. (Phys. Rev. Lett., vol. 125, 2020, 074501). These bounds agree with our simulation results. Our findings highlight the key connection between the morphology of the melting solid and the convective flow structures in the melt beneath.

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言語: eng - English
 日付: 2023-02-05
 出版の状態: 出版
 ページ: -
 出版情報: -
 目次: -
 査読: 査読あり
 識別子(DOI, ISBNなど): DOI: 10.1017/jfm.2023.15
 学位: -

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Project name : We acknowledge the support of the Priority Programme SPP 1881 Turbulent Superstructures of the Deutsche Forschungsgemeinschaf.
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出版物 1

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出版物名: Journal of Fluid Mechanics
種別: 学術雑誌
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出版社, 出版地: Cambridge [etc.] : Cambridge University Press [etc.]
ページ: - 巻号: 956 通巻号: A23 開始・終了ページ: - 識別子(ISBN, ISSN, DOIなど): ISSN: 0022-1120
CoNE: https://pure.mpg.de/cone/journals/resource/954925340716