Journal of Fluid Mechanics, Journal Year: 2024, Volume and Issue: 1001

Published: Dec. 16, 2024

We study the melting process of a solid under microgravity, driven solely by lateral vibrations that are perpendicular to applied temperature gradient due absence gravity-induced convection. Using direct numerical simulations with phase-field method, we examine two-dimensional vibration-induced in square cavity over four orders magnitude vibrational Rayleigh numbers, $10^5\le Ra_{{vib}}\le 10^9$ . Our results show as progresses, flow structure transitions from periodic-circulation regime diffusion-dominated heat transfer columnar vibroconvection. The mean height liquid–solid interface follows power-law dependency time, $\bar {\xi } \sim \tilde t^{1/(2-2\alpha )}$ , where $\alpha = 0$ and 1/2$ regime. further observe within regime, morphological evolution is influenced interaction thermal plumes central regions peripheral near sidewalls. Specifically, offer comprehensive analysis plume merging behaviour, which governed aspect ratio ( }$ ) liquid layer intensity vibration, quantified effective number $Ra_{vib}^{eff}$ identify relationship between $K_m$ finding $K_m \bar }^{-1} (Ra_{vib}^{eff})^{\gamma fitting scaling exponent $\gamma 0.150 \pm 0.025$ subsequently quantify characteristics roughness amplitude microgravity indicate exhibits dependence on layer. Drawing Stefan boundary condition, theoretically deduce this assumption non-uniform flux distribution at interface, theory corroborated our simulations.

Language: Английский