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Thermocapillary effects during the melting of phase-change materials in microgravity: steady and oscillatory flow regimes

Published online by Cambridge University Press:  07 December 2020

P. Salgado Sánchez Open the ORCID record for P. Salgado Sánchez [Opens in a new window] ,
J. M. Ezquerro ,
J. Fernández  and
J. Rodríguez Open the ORCID record for J. Rodríguez [Opens in a new window]
P. Salgado Sánchez*
Affiliation:
E-USOC, Center for Computational Simulation, Departamento de Aeronaves y Vehículos Espaciales, Escuela Técnica Superior de Ingeniería Aeronáutica y del Espacio, Universidad Politécnica de Madrid, Plaza Cardenal Cisneros 3, 28040Madrid, Spain
J. M. Ezquerro
Affiliation:
E-USOC, Center for Computational Simulation, Departamento de Aeronaves y Vehículos Espaciales, Escuela Técnica Superior de Ingeniería Aeronáutica y del Espacio, Universidad Politécnica de Madrid, Plaza Cardenal Cisneros 3, 28040Madrid, Spain
J. Fernández
Affiliation:
E-USOC, Center for Computational Simulation, Departamento de Matemática Aplicada a la Ingeniería Aeroespacial, Escuela Técnica Superior de Ingeniería Aeronáutica y del Espacio, Universidad Politécnica de Madrid, Plaza Cardenal Cisneros 3, 28040Madrid, Spain
J. Rodríguez
Affiliation:
E-USOC, Center for Computational Simulation, Departamento de Aeronaves y Vehículos Espaciales, Escuela Técnica Superior de Ingeniería Aeronáutica y del Espacio, Universidad Politécnica de Madrid, Plaza Cardenal Cisneros 3, 28040Madrid, Spain
*
†Email address for correspondence: pablo.salgado@upm.es
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Abstract

A detailed numerical investigation of thermocapillary effects during the melting of phase-change materials in microgravity is presented. The phase-change transition is analysed for the high-Prandtl-number material n-octadecane, which is enclosed in a two-dimensional rectangular container subjected to isothermal conditions along the lateral walls. The progression of the solid/liquid front during the melting leaves a free surface, where the thermocapillary effect acts driving convection in the liquid phase. The nature of the flow found during the melting depends on the container aspect ratio, $\varGamma$, and on the Marangoni number, $Ma$. For large $\varGamma$, this flow initially adopts a steady return flow structure characterised by a single large vortex, which splits into a series of smaller vortices to create a steady multicellular structure (SMC) with increasing $Ma$. At larger values of $Ma$, this SMC undergoes a transition to oscillatory flow through the appearance of a hydrothermal travelling wave (HTW), characterised by the creation of travelling vortices near the cold boundary. For small $\varGamma$, the thermocapillary flow at small to moderate $Ma$ is characterised by an SMC that develops initially within a thin layer near the free surface. At larger times, the SMC evolves into a large-scale steady vortical structure. With increasing applied $Ma$, a complex oscillatory mode is observed. This state, referred to as an oscillatory standing wave (OSW), is characterised by the pulsation of the vortical structure. Finally, for an intermediate $\varGamma$ both HTW and OSW modes can be found depending on $Ma$.

JFM classification

Convection: Marangoni convection Nonlinear Dynamical Systems: Pattern formation Phase change: Solidification/melting
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 908 , 10 February 2021 , A20
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Copyright
© The Author(s), 2020. Published by Cambridge University Press

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