Linear stability analysis of convection in two-layer system with an evaporating vapor-liquid interface |
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Authors: | Rong Liu Qiusheng Liu |
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Institution: | (1) Institute of Mechanics, Chinese Academy of Sciences, Beijing, 100080, China |
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Abstract: | Classical theories have successfully provided an explanation for convection in a liquid layer heated from below without evaporation.
However, these theories are inadequate to account for the convective instabilities in an evaporating liquid layer, especially
in the case when it is cooled from below. In the present paper, we study the onset of Marangoni convection in a liquid layer
being overlain by a vapor layer. A new two-sided model is put forward instead of the one-sided model in previous studies.
Marangoni-Bénard instabilities in evaporating liquid thin layers are investigated with a linear instability analysis. We define
a new evaporation Biot number, which is different from that in previous studies and discuss the influences of reference evaporating
velocity and evaporation Biot number on the vapor-liquid system. At the end, we explain why the instability occurs even when
an evaporating liquid layer is cooled from below.
The project supported by the National Natural Science Foundation of China (10372105) and the Knowledge Innovation Program
of Chinese Academy of Sciences (KJCX2-SW-L05 and KGCX-SW-409) The English text was polished by Keren Wang. |
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Keywords: | Evaporation Marangoni-Bénard instability Convection |
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