Enhanced bubble growth near an advancing solidification front
arxiv(2024)
摘要
Frozen water might appear opaque since impurities or gas bubbles can get
trapped in the ice during the freezing process. The latter nucleate and then
grow near the advancing solidification front, due to the formation of a gas
supersaturation region in its vicinity. A delicate interplay between the rate
of mass transfer and the rate of freezing dictates the final shapes and sizes
of the entrapped gas bubbles. In this work, we experimentally and numerically
investigate the initial growth of such gas bubbles that nucleate and grow near
the advancing ice front. We show that the initial growth of these bubbles is
governed by diffusion and is enhanced due to a combination of the presence of
the background gas concentration gradient and the motion of the approaching
front. Additionally, we recast the problem into that of mass transfer to a
moving spherical object in a homogeneous concentration field, finding good
agreement between our experimental data and the existing scaling relations for
that latter problem. Lastly, we address how fluid flow around the bubble might
further affect this growth and qualitatively explore this through numerical
simulations.
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